HISTORY OF THE PRIME k-TUPLETS WEB SITE 28 February 2010 Prime 17-tuplets (including new world record!) 172597919600172587413976077 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (27 digits, Feb 2010, Jaroslaw Wroblewski) 147379616106647331506936777 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (27 digits, Feb 2010, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 167229487916901458415309947 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 166327593052062623507793403 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 161538386232159199509389147 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 159928483705770566025566263 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 158470430468452181362476197 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 157745321423988361784457673 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 154440218706066440591440933 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 151270998760440205919709373 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 150335674418016007185792463 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 145757410194436559364402493 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Feb 2010, Jaroslaw Wroblewski) 18 January 2010 Prime dodecuplet (new world record!) 78989413043158 * 109# + 38458151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (59 digits, Jan 2010, Norman Luhn) 15 January 2010 Prime 18-tuplet (new world record!) 159272023128204753638724847 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (27 digits, Jan 2010, Jaroslaw Wroblewski) Prime 16-tuplet 155832035280724584485526827 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Jan 2010, Jaroslaw Wroblewski) 154881842388621356863137287 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Jan 2010, Jaroslaw Wroblewski) 149374721326307500161491357 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Jan 2010, Jaroslaw Wroblewski) 138975626347557601924769383 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Jan 2010, Jaroslaw Wroblewski) 13 January 2010 Prime 9-tuplet (new world record!) 68663510211259 * 337# + 88789 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (150 digits, Jan 2010, Norman Luhn) Prime octuplets 3602190238977 * 373# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (164 digits, Jan 2010, Norman Luhn) 11946098784902 * 367# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (162 digits, Jan 2010, Norman Luhn) 3327023476026 * 353# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (156 digits, Jan 2010, Norman Luhn) 5946926531955 * 349# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (154 digits, Jan 2010, Norman Luhn) 2333748654392 * 347# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (151 digits, Jan 2010, Norman Luhn) 111917135723323 * 337# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (150 digits, Jan 2010, Norman Luhn) 110569633448624 * 337# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (150 digits, Jan 2010, Norman Luhn) 107479324551396 * 337# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (150 digits, Jan 2010, Norman Luhn) 106584067562782 * 337# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (150 digits, Jan 2010, Norman Luhn) 29 December 2009 Prime 17-tuplets (including new world record!) 136575614478643908214173463 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (27 digits, Dec 2009, Jaroslaw Wroblewski) 135715937411488254886432307 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (27 digits, Dec 2009, Jaroslaw Wroblewski) 134787075839275815659060293 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (27 digits, Dec 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 144289980252918692920074283 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Dec 2009, Jaroslaw Wroblewski) 139306763967445679180709137 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Dec 2009, Jaroslaw Wroblewski) 138061361186350971933977417 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Dec 2009, Jaroslaw Wroblewski) 137950961316636440883757783 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Dec 2009, Jaroslaw Wroblewski) 136559026079962083274293553 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Dec 2009, Jaroslaw Wroblewski) 124017496355101844849951533 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Dec 2009, Jaroslaw Wroblewski) 27 November 2009 Prime 17-tuplets (including new world record!) 132499883151966036853859711 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (27 digits, Nov 2009, Jaroslaw Wroblewski) 131351782821854590960897927 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (27 digits, Nov 2009, Jaroslaw Wroblewski) 125537512169052550394134243 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (27 digits, Nov 2009, Jaroslaw Wroblewski) 116983092273315565670500067 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (27 digits, Nov 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 141770497838775279320629787 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 141478730742160511036269937 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 136577908975603179582911417 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 132628611813924504805489967 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 131234952905596841754235787 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 131048602247314618008295157 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 126194694180036416190002683 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 123800674850729616393961243 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 123197101947630489124823413 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 115670531198806772916815023 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Nov 2009, Jaroslaw Wroblewski) 31 October 2009 Prime 17-tuplets (including new world record!) 123403439872166539843841077 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (27 digits, Oct 2009, Jaroslaw Wroblewski) 123096138040090345198211137 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (27 digits, Oct 2009, Jaroslaw Wroblewski) 121959524354114874784103687 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (27 digits, Oct 2009, Jaroslaw Wroblewski) 108028115325711322131336887 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (27 digits, Oct 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 128116015763860164501203747 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 126254841003076455311835197 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 126210665132769177461694197 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 119414728853433715891792607 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 116927206824451299049506737 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 112576303417191137324227363 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 111590351157931225837053733 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 111015673544123566750799203 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 109681822301576087721875653 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 109335460421117693422857133 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Oct 2009, Jaroslaw Wroblewski) 18 August 2009 Prime 17-tuplets (including new world record!) 110676198907326308721578107 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (27 digits, Aug 2009, Jaroslaw Wroblewski) 108233673706209779713888897 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (27 digits, Aug 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 121571352847855957198205057 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Aug 2009, Jaroslaw Wroblewski) 116482617490304247561892517 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Aug 2009, Jaroslaw Wroblewski) 113982201664870669532835437 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Aug 2009, Jaroslaw Wroblewski) 113926409332186487175562427 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Aug 2009, Jaroslaw Wroblewski) 109020800626852857785505467 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Aug 2009, Jaroslaw Wroblewski) 103035899733508256978636177 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Aug 2009, Jaroslaw Wroblewski) 101618091368020691311614703 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (27 digits, Aug 2009, Jaroslaw Wroblewski) 15 August 2009 Prime twins (NEW WORLD RECORD!) 65516468355 * 2^333333 +/- 1 (100355 digits, Aug 2009, Peter Kaiser, NEWGEN, PRIMEGRID, TPS, LLR) 7 August 2009 13-tuplet (NEW WORLD RECORD!) 61571 * 107# + 4803194122972361 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (48 digits, Aug 2009, Jens Kruse Andersen) 12-tuplets 839858 * 107# + 2566964683459061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (49 digits, Aug 2009, Jens Kruse Andersen) 337712 * 107# + 3440354553191441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (48 digits, Aug 2009, Jens Kruse Andersen) 122428 * 107# + 4540852852571921 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (48 digits, Aug 2009, Jens Kruse Andersen) 88820 * 107# + 722837433023591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (48 digits, Aug 2009, Jens Kruse Andersen) 22 July 2009 Prime 17-tuplets (including new world record!) 96400583555387852509886053 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (26 digits, Jul 2009, Jaroslaw Wroblewski) 94378379636222147586937757 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Jul 2009, Jaroslaw Wroblewski) 93445018438478552173384997 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Jul 2009, Jaroslaw Wroblewski) 93060162061530627501044443 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (26 digits, Jul 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 105046773971567834303140247 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (27 digits, Jul 2009, Jaroslaw Wroblewski) 99727000762231578158600113 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jul 2009, Jaroslaw Wroblewski) 96094036828414286584029043 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jul 2009, Jaroslaw Wroblewski) 93777658839114401166428417 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jul 2009, Jaroslaw Wroblewski) 93593218099308371408051023 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jul 2009, Jaroslaw Wroblewski) 93163820280683393631262877 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jul 2009, Jaroslaw Wroblewski) 91949251876628897087720387 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jul 2009, Jaroslaw Wroblewski) 91648105932722069540026153 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jul 2009, Jaroslaw Wroblewski) 88060946504977023258944267 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jul 2009, Jaroslaw Wroblewski) 24 June 2009 Prime 7-tuplet (NEW WORLD RECORD!) 68841237 * 701# + 2525568581 + d, d = 0, 2, 6, 8, 12, 18, 20 (301 digits, Jun 2009, Jens Kruse Andersen) 10 June 2009 Prime 17-tuplets (including new world record!) 89417816378966798217367867 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, Jun 2009, Jaroslaw Wroblewski) 88679568717139869434078111 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (26 digits, Jun 2009, Jaroslaw Wroblewski) 87448712438181889155213847 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, Jun 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 92149520879402675713717697 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 90761604073255445251034117 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 85121171129944351528609487 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 83975369958839441112487393 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 82851043868892767128267543 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 82103542766008457949141823 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 81616538030191512728186743 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 80851415210104925023915213 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 78053979213871350335172463 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jun 2009, Jaroslaw Wroblewski) 28 May 2009 Prime 17-tuplets (including new world record!) 82979186055075407127863831 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (26 digits, May 2009, Jaroslaw Wroblewski) 82357187896469143309815157 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, May 2009, Jaroslaw Wroblewski) 64428431752041597568114727 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, May 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 84987769835274933530296397 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 78690080205003240654297553 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 77752733382171031567586207 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 76667522713308869664759373 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 73992292398875583183454007 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 73913641631448174799079773 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 72672761597535849320533967 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 71724746889861036030342287 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 69681370495127208473282563 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 69472828876809382175278063 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, May 2009, Jaroslaw Wroblewski) 1 May 2009 Prime sextuplet (NEW WORLD RECORD!) 601545895935 * 1300# + 43777 + d, d = 0, 4, 6, 10, 12, 16 (559 digits, May 2009, Norman Luhn) Prime quintuplets 987044350012 * 1300# + 43777 + d, d = 0, 4, 6, 10, 12 (559 digits, May 2009, Norman Luhn) 947251893685 * 1300# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn) 945579243374 * 1300# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn) 943700737391 * 1300# + 43777 + d, d = 0, 4, 6, 10, 12 (559 digits, May 2009, Norman Luhn) 928119120839 * 1300# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn) 900682944994 * 1300# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn) 871122167862 * 1300# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn) 29 April 2009 Prime 17-tuplets (including new world record!) 68552891188828388567298071 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (26 digits, Apr 2009, Jaroslaw Wroblewski) 62199492317273534723186627 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Apr 2009, Jaroslaw Wroblewski) 60564413358406851768962027 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Apr 2009, Jaroslaw Wroblewski) 60181896060933411505367567 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Apr 2009, Jaroslaw Wroblewski) 59584682807798169975870857 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Apr 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 77927503544124995394967337 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 76307952449050353753314597 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 70414097562905787193105607 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 66995922612819018830134127 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 66257393992891546352640737 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 63264866186409220032897133 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 58947677541032808075230687 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 58132406976431204840299813 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 56559297577835210051426537 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Apr 2009, Jaroslaw Wroblewski) 31 March 2009 Prime 17-tuplets (including new world record!) 60260203461015825227773807 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, Mar 2009, Jaroslaw Wroblewski) 55117676480503095172430657 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Mar 2009, Jaroslaw Wroblewski) 49435457668491638790379331 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (26 digits, Mar 2009, Jaroslaw Wroblewski) 48723499965200144426969563 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (26 digits, Mar 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 59183945387556758362446857 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 58644198591003406367789807 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 57732871737686134215242953 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 56706211160586175840424777 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 51316930302636247123131193 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 50905361536473074463425597 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 48129047932652814812211463 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 24 March 2009 Prime quintuplet (NEW WORLD RECORD!!) 424232794973*2600# + 43777 + d, d = 0, 4, 6, 10, 12 (1107 digits, Mar 2009, Norman Luhn, PRIMO) Prime quadruplets 428476294038*2600# + 43781 + d, d = 0, 2, 6, 8 (1107 digits, Mar 2009, Norman Luhn, PRIMO) 211075706158*2600# + 43781 + d, d = 0, 2, 6, 8 (1107 digits, Mar 2009, Norman Luhn, PRIMO) 152999288264*2600# + 43781 + d, d = 0, 2, 6, 8 (1107 digits, Mar 2009, Norman Luhn, PRIMO) 152390576963*2600# + 43781 + d, d = 0, 2, 6, 8 (1107 digits, Mar 2009, Norman Luhn, PRIMO) 111575011957*2600# + 43781 + d, d = 0, 2, 6, 8 (1107 digits, Mar 2009, Norman Luhn, PRIMO) 12 March 2009 Prime 18-tuplet (NEW WORLD RECORD!) 51342365971531191697537333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26 digits, Mar 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 53236636303353247272520997 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 48528382923508100479329467 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 46635660851516237285397617 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 44521349510218311048324943 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Mar 2009, Jaroslaw Wroblewski) 26 February 2009 Prime 17-tuplets (including new world record!) 47853208492419453571190741 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (26 digits, Feb 2009, Jaroslaw Wroblewski) 47513576234722162484953031 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (26 digits, Feb 2009, Jaroslaw Wroblewski) Prime 16-tuplets 47484723317467297181983667 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Feb 2009, Jaroslaw Wroblewski) 45977590445302370920118057 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Feb 2009, Jaroslaw Wroblewski) 20 February 2009 Prime 18-tuplet (NEW WORLD RECORD!) 44453357465442632103684223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26 digits, Feb 2009, Jaroslaw Wroblewski) Prime 17-tuplet 34407215710318773206131183 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (26 digits, Feb 2009, Jaroslaw Wroblewski) Prime 16-tuplets 42422872235802713349407717 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Feb 2009, Jaroslaw Wroblewski) 41435247423826633213373473 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Feb 2009, Jaroslaw Wroblewski) 35885707235361657484898023 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Feb 2009, Jaroslaw Wroblewski) 35839556860251188435458003 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Feb 2009, Jaroslaw Wroblewski) 33924758015761437176599183 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Feb 2009, Jaroslaw Wroblewski) 6 February 2009 Prime 17-tuplets (Including new world record!) 39463228205493543106813093 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (26 digits, Feb 2009, Jaroslaw Wroblewski) 37287368519826076963664351 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (26 digits, Feb 2009, Jaroslaw Wroblewski) Prime 16-tuplet 39452706105687917512613147 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Feb 2009, Jaroslaw Wroblewski) 3 February 2009 Prime 15-tuplet 22483844368966051006953930901 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (29 digits, Feb 2009, Audrey (TF)) 31 January 2009 Prime 17-tuplet (NEW WORLD RECORD!) 38229102956391338482904407 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, Jan 2009, Jaroslaw Wroblewski) Prime 16-tuplets 38703994459560945396965087 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 38082636384087860475653747 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 36628757372193420935047483 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) Prime twins 307259241 * 2^115599 +/- 1 (34808 digits, Jan 2009, Tornberg, PRP & PROTH) 26 January 2009 Prime 18-tuplet (NEW WORLD RECORD!) 33755528632220819791319947 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (26 digits, Jan 2009, Jaroslaw Wroblewski) Prime 17-tuplet 28354435461222964236546397 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, Jan 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 39135286142065838245784267 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 32494695846932250256922533 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 29141972998034038331352167 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 16 January 2009 Prime 18-tuplet (NEW WORLD RECORD!) 23531820918273007548405133 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26 digits, Jan 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 30739487512102293375333887 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 27663490144328268616769387 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 15 January 2009 Prime 17-tuplet (new world record!) 28945417786141422786373147 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, Jan 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 28697769080066241198976937 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 20528798200669046577816463 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 10 January 2009 Prime 17-tuplet (new world record!) 23281092933950338544113997 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Jan 2009, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 24519309706781372548178117 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 21247580101231619833254493 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 19453410564384059631965533 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 18795019410644838569261057 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Jan 2009, Jaroslaw Wroblewski) 31 December 2008 Prime 16-tuplet (new world record!) 20338708738516444189126217 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Dec 2008, Jaroslaw Wroblewski) 30 December 2008 Prime 17-tuplets (including new world record!) 13272688259204223913800677 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Dec 2008, Jaroslaw Wroblewski) 12619228903670164829370257 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, Dec 2008, Jaroslaw Wroblewski) 10534990118815493999731057 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, Dec 2008, Jaroslaw Wroblewski) Prime 16-tuplets (including new world record!) 16762005170128542220583623 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Dec 2008, Jaroslaw Wroblewski) 15484349702608183190586797 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, Dec 2008, Jaroslaw Wroblewski) 14572067509290472479435073 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Dec 2008, Jaroslaw Wroblewski) 13869497324977990741392283 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Dec 2008, Jaroslaw Wroblewski) 13541936591904559717085143 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, Dec 2008, Jaroslaw Wroblewski) Prime 15-tuplet 15842138448831437822167281181 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (29 digits, Dec 2008, Audrey (TF)) 18 December 2008 A NEW WORLD RECORD PRIME 18-TUPLET! 11298510058634407483251313 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26 digits, Dec 2008, Jaroslaw Wroblewski) Prime 16-tuplet 8123287824666722554529687 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 14 December 2008 A NEW WORLD RECORD PRIME 18-TUPLET! 4530085223434265844952597 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (25 digits, Dec 2008, Jaroslaw Wroblewski) Prime 17-tuplets (including a new world record!) 5797342442373866594673457 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (25 digits, Dec 2008, Jaroslaw Wroblewski) 5767762827981847923136843 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (25 digits, Dec 2008, Jaroslaw Wroblewski) Prime 16-tuplets 9810028287321148107308023 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 9035534891670879193999333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 5864040093548465525463703 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 5767762827981847923136843 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 4832244481144873961495263 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 4460854210129372667384777 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) Prime 15-tuplet 7183156739598876255584337961 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (28 digits, Oct 2008, Audrey (TF)) 9 December 2008 A NEW WORLD RECORD PRIME 17-TUPLET! 4413937932023165100037481 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (25 digits, Dec 2008, Jaroslaw Wroblewski) Prime 16-tuplets 9650336819926778895196213 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 9276275190948013462871593 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 6097058661054854619479357 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 5123424425629589842009183 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 3327635699594161227885617 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 6 December 2008 Prime 16-tuplets 5829755258165124648238813 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 9569595773264659850905123 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 5 December 2008 Prime 16-tuplet 5315687855627482486019803 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, Dec 2008, Jaroslaw Wroblewski) 17 November 2008 GIGANTIC PRIME TRIPLET!!! Francois Morain has certified the third number in record time. The certificate is available here: http://www.lix.polytechnique.fr/Labo/Francois.Morain/Primes/Certif/luhn.certif.gz. FASTECPP: Total time: phase 1 = 86 days, phase 2 = 32 days on a cluster of AMD Athlon 64 3400+ processors. 2072644824759 * 2^33333 + d, d = -1, 1, 5 (10047 digits, Nov 2008, Norman Luhn, Francois Morain, FastECPP) 21 October 2008 Prime 15-tuplet 7957624162163313093770931553 + d, d = 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 76 (28 digits, Oct 2008, Felicity (TF)) 19 October 2008 Prime 15-tuplet 2131727624873404289606908021 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (28 digits, Oct 2008, Felicity (TF)) 14 October 2008 Prime 15-tuplet 23748164812313411457787806943 + d, d = 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (29 digits, Oct 2008, Audrey (TF)) 13 October 2008 GIGANTIC PROBABLE-PRIME TRIPLET!! The third number is currently in the process of getting a primality certificate, a procedure that is likely to take several months. When the certificate arrives the triplet take its rightful place at the top of the Prime Triplets table. 2072644824759 * 2^33333 + d, d = -1, 1, 5 (10047 digits, Oct 2008, Norman Luhn) 11 October 2008 Prime 15-tuplet 8272730024233366918494210931 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (28 digits, Oct 2008, Audrey (TF)) 9 October 2008 Prime 15-tuplet 16914974218143487485332450057 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (29 digits, Oct 2008, Audrey (TF)) 13 June 2008 Prime twin (Thanks to Norman Luhn for communicating this to me) 108615 * 2^110342 +/- 1 (33222 digits, Jun 2008, Chris Chatfield) 14 April 2008 A NEW WORLD RECORD PRIME 15-TUPLET!! 107173714602413868775303366934621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (33 digits, Apr 2008, Jens Kruse Andersen) Prime 14-tuplets 108804167016152508211944400342691 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 107173714602413868775303366934621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 101885197790002105359911556070661 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 101803109763079694387921584406441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 101047123513223569167212934432341 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 100859765410802682029505696121301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 100496797396678760339871075201851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 1 March 2008 A NEW WORLD RECORD PRIME OCTUPLET!! 330846961*503# + 349129635971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (218 digits, Feb 2008, Jens Kruse Andersen) Prime septuplets 581889703*503# + 138264351341 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 456986419*503# + 161951504831 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 428040647*503# + 29941937141 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 330846961*503# + 349129635971 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 315131450*503# + 108685942481 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 230249877*503# + 302416919921 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 221801776*503# + 33874245521 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 3 January 2008 A NEW WORLD RECORD PRIME TRIPLET!! 5612052289*14500#/5 + d, d = -1, 1, 5 (6223 digits, Jan 2008, Norman Luhn, PRIMO) 28 December 2007 A NEW WORLD RECORD PRIME 14-tuplet!! 381955327397348*80# + 18393209 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, Dec 2007, Norman Luhn) Also a new world record prime 13-tuplet: 381955327397348*80# + 18393209 + d, d = 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, Dec 2007, Norman Luhn) And the second-largest known prime 12-tuplet: 381955327397348*80# + 18393209 + d, d = 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, Dec 2007, Norman Luhn) 30 October 2007 Prime quadruplet This is now the largest known prime quadruplet to contain both a Riesel and a Proth prime. 2722420456827*2^3800 + d, d = -1, 1, 5, 7 (1157 digits, Oct 2007, Gary Barnes) 19 October 2007 Prime quadruplet This is the largest known prime quadruplet to contain both a Riesel and a Proth prime. 477707955423*2^3802 + d, d = -1, 1, 5, 7 (1157 digits, Oct 2007, Gary Barnes) 11 October 2007 Prime twins 1046619117*2^100000 +/- 1 (30113 digits, Oct 2007, Gary Barnes) 19 September 2007 Late arrivals New record prime triplets added (Thanks to Jens Kruse Andersen for drawing my attention to this omission) (99241437759*205881*4001#*(205881*4001# + 1) + 210)*(205881*4001# - 1)/35 + d, d = 1, 5, 7 (5132 digits, Mar 2006, Ken Davis) (91456744909*205881*4001#*(205881*4001# + 1) + 210)*(205881*4001# - 1)/35 + d, d = 5, 7, 11 (5132 digits, May 2006, Ken Davis) 17 September 2007 New URL: http://anthony.d.forbes.googlepages.com/ktuplets.htm New record prime 9-tuplets! 3336884*331# + 80877403191701 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) Prime 8-tuplets 15040372*331# + 24632288535971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 14167183*331# + 35015517882461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 13603476*331# + 55083998744891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 12881645*331# + 18936030208211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 11016377*331# + 38766080888651 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 10658130*331# + 54668878048901 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 10451363*331# + 19613368149491 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 9378352*331# + 2995583656181 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 8889326*331# + 73892184681431 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 8028092*331# + 37461886457111 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 3704397*331# + 35072372810591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 3098613*331# + 46977904628771 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 2288764*331# + 32246355636611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 2231415*331# + 61189154651741 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 30 June 2007 New prime twins 194772106074315*2^171960 +/- 1 (51780 digits, June 2007, Antal Járai, Gabor Farkas, Timea Csajbok & János Kasza) 15 January 2007 New record prime twins!! 2003663613*2^195000 +/- 1 (58711 digits, Jan 2007, Eric Vautier, Dmitri Gribenko, Patrick W. McKibbon, Michaek Kwok, Andrea Pacini, Rytis Slatkevicius) 28 December 2006 New record prime twins!! 100314512544015*2^171960 +/-1 (51780 digits, Dec 2006, Antal Járai, Gabor Farkas, Timea Csajbok & János Kasza) 3 June 2006 NEW RECORD PRIME 12-tuplet! 8486221*107# + 4549290807806861 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) Prime 11-tuplets: 8747677*107# + 4008289033283651 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 8519951*107# + 4108713619105211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 8486221*107# + 4549290807806861 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 7862516*107# + 4453056384461801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 9 April 2006 NEW RECORD PRIME QUINTUPLET! 283534892623*2500# + 1091261 + d, d = 0, 2, 6, 8, 12 (1069 digits, Apr 2006, Norman Luhn) 17 January 2006 New record prime 6-tuplet!! 328481121285*1000# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (427 digits, Jan 2006, Norman Luhn) Prime 5-tuplets 338769039776*1000# + 16061 + d, d = 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn) 319335512503*1000# + 16061 + d, d = 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn) 305727029371*1000# + 16061 + d, d = 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn) 286538245484*1000# + 16057 + d, d = 0, 4, 6, 10, 12 (427 digits, Jan 2006, Norman Luhn) 282316412894*1000# + 16057 + d, d = 0, 4, 6, 10, 12 (427 digits, Jan 2006, Norman Luhn) 4 January 2006 New record prime 7-tuplet! 251733155478*650# + 1146779 + d, d = 0, 2, 8, 12, 14, 18, 20 (282 digits, Jan 2006, Norman Luhn) 10 October 5005 Prime triplets (63095588824*205881*4001#*(205881*4001# + 1) + 210)*(205881*4001# - 1)/35 + d, d = 7, 11, 13 (5132 digits, Oct 2005, Ken Davis) 7 October 2005 New record prime triplet! (63140956174*205881*4001#*(205881*4001# + 1) + 210)*(205881*4001# - 1)/35 + d, d = 1, 5, 7 (5132 digits, Oct 2005, Ken Davis) 21 August 2005 Prime quadruplets 18973472837*2503#/35 + d, d = 7, 5, 1, -1 (1070 digits, Aug 2005, Gary Chaffey, PRIMO) 2806617687*2400# + 16061 + d, d = 0, 2, 6, 8 (1034 digits, Jul 2002, Norman Luhn, APSieve, PFGW, PRIMO) 31950761585*2400# + 16061 + d, d = 0, 2, 6, 8 (1034 digits, Jul 2002, Norman Luhn, APSieve, PFGW, PRIMO) 17 August 2005 Prime quadruplet 700209251206546*3^2239 + d, d = -1, 1, 5, 7 (1084 digits, Aug 2005, Michael Gillion & George Woltman) 6 August 2005 Prime 8-tuplet: New record!! 12874261020824 * 465# + 88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (206 digits, Aug 2005, Norman Luhn) Prime 7-tuplets 15350892425771 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 11435332301154 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 10556596219791 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 9379898589313 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 8380138890134 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 5585090256052 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 2628700560880 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 3896458717626 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 4183277599517 * 465# + 88799 + d, d = 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 7 June 2005 Prime triplet 482087640512217793845570423590628009808889383011130349171804901748526777061370780627460505132491221727804774337618543895842127152849611541786017\ 805593683074723963828143018456842718019983727205329930611280116154533973119319034672657256005960604630414066146310426700518381862097742516405866\ 195422684214287332573900866324661494346245534279979343101133296920311384310038494203335600722052108455969799237215708832614118836461442241207855\ 293225441064474783740366860933604665483713241918638467198647350548519263855575944981769699299552606541393968389691771976717574792090994208519771\ 385288023678494282755957386408838344865023872633785866899573786130176856424894699924567596369720796153330059346436965095498096011384763527973015\ 991344603237356542090142767578571441786373075694596228979968733401728004987120715242990905972013182436089458376417937981198236642945582300005647\ 128743990559046176647721132183647468216093590272964010782208734773535956169567133722229700448429343202363204885084486692248850698728450967097810\ 218280959858233544489152731542269762933185962032745493771708921868944525491159429482777370546404899271317556254121611831561141971388382086568879\ 446167006597750289225316546856011862351024689320287812902473726549327922573909088592353454443000898068952851019543021408715515569349573657117799\ 716663121519561482256319951340849020319672731669715173097531473326182240321249332267923486999554862442992407740801494372864924861415526871567797\ 864834998790396826571147014375423518130501754335154319284948148249983886393508013415082481449614245742443990489309705107520945590989562203628014\ 707985679462717104656060553573281816496960022012728652187445122402668201272646745506313030506782447902574834933132987210029438920794350979337376\ 186634301993144804159602996765055876139432866355396499564389849672103163360902203858857955734761399198072852625867567558643728578282430540023249\ 059581042709114138022586389383009620282043491019916617148760898231318107803265213459046776076367668055230206036055839762829161704850001181143178\ 708470728693008602223546888777169337411545513097921766169253998552756572275714971365275773421553682391317169875929046586133952918315623161969810\ 757960845907665932153714416182739275167340103789003494335317569376488198295029643966299143569796393508457509117744201719353628326715639371640296\ 855784749035742009081340784915499569905124570949059385488535268305669106232233313628534357763441815929432247522633626461404861416316453592446471\ 871201925203193721452320857693931964332028544643000191231713195398972305100273270255823681112842918194654388399240172691159402215001629325337881\ 099149409828081331548181824267413245916111428021848355315516641061354842199159861435387567328916901647811908727123214159603298032611659808609706 7784011491129438760088706749784410702706005202111587055198389821717176808217656532939079286878913762250558364161535124706813 + d, d = 0, -2, -6 (2860 digits, Jun 2005, Caleb Li) 29 April 2005 Prime quadruplet New record!! The first prime quadruplet of over 2000 digits 4104082046*4800# + 5651 + d, d = 0, 2, 6, 8 (2058 digits, Apr 2005, Norman Luhn, Primo) 8 February 2005 Prime 14-tuplet (new record!) 26093748*67# + 383123187762431 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) Prime 13-tuplets (including new record!) 26697593*67# + 315911634133211 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 26307518*67# + 184083066052001 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 26093748*67# + 383123187762431 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 26093748*67# + 383123187762431 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 25478069*67# + 114181562199821 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 24970179*67# + 164226895277561 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 23320603*67# + 60301221485621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 22996461*67# + 257514231089231 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 22865416*67# + 58526097915401 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 21736345*67# + 367478503467191 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 20821975*67# + 123462852558161 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 20030515*67# + 229703032834391 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 7 February 2005 Prime 9-tuplet (new record!) 90421624808713*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (135 digits, 2005, Norman Luhn) Prime 8-tuplets 118195793431939*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 98481667857555*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 83957036111044*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 78982397556852*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 63335525117332*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 58873615726847*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 51863695886876*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 48847229666279*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 45808354373434*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 41247308549872*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 38249210030567*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 21396888191461*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 20689417923435*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 18910076296036*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 14349673713720*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 7587782150907*300# + 103498931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 19 January 2005 Prime 13-tuplet (new record!) 22516115*67# + 73934561215633 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (33 digits, 2005, Christ van Willegen & Jens Kruse Andersen) Prime 7-tuplets 241698051*421# + 186765203741 + d, d = 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 230734160*421# + 178028005271 + d, d = 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 218857474*421# + 124350941831 + d, d = 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 216462875*421# + 121016110331 + d, d = 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 213276222*421# + 50201676641 + d, d = 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 201082172*421# + 64240191131 + d, d = 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 137753476*421# + 45963242441 + d, d = 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 132842643*421# + 317708976701 + d, d = 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) Prime 8-tuplet (new record!) 97510235*421# + 322355908991 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 15 December 2004 Prime 13-tuplets (new record!) 17068935*67# + 68617798033901 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, 2004, Jens Kruse Andersen) 14413163*67# + 82206776156621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, 2004, Jens Kruse Andersen) Prime 12-tuplets (new record!) 432589236*89# + 611531575179641 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 434161298*89# + 612442658382671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) Prime 11-tuplets 434217435*89# + 604837794936491 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 433836834*89# + 572222091275951 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 430012382*89# + 612622023878981 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 29 November 2004 Prime 15-tuplet (new record!) 99999999948164978600250563546400 + d, d = 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67 (32 digits, 2004, Joerg Waldvogel and Peter Leikauf) 25 November 2004 Prime 8-tuplet (new record!) 4319152256906 * 400# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (174 digits, 2004, Norman Luhn) 19 October 2004 Prime 16-tuplet (new record!) 10252256693298561414756287 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, 2004, Jens Kruse Andersen) Prime quadruplet (Smallest containing 1000 digits) 10^999 + 4114571944591 + d, d = 0, 2, 6, 8 (1000 digits, 2004, Norman Luhn) 2 September 2004 Prime 7-tuplet (new record!) 76794640264*509# + 5132201 + d, d = 0, 2, 6, 8, 12, 18, 20 (223 digits, 2004, Jens Kruse Andersen) 18 August 2004 Prime 11-tuplet (new record!) 24698258*239# + 28606476153371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (104 digits, 2004, Norman Luhn & Jens Kruse Andersen) 16 August 2004 Prime 10-tuplet (new record!) 24698258*239# + 28606476153371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 2004, Jens Kruse Andersen) Prime 9-tuplets 18188893*239# + 7597110015611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (104 digits, 2004, Jens Kruse Andersen) 12023698*239# + 19623646397471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (104 digits, 2004, Jens Kruse Andersen) 9808759*239# + 9127517704421 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (104 digits, 2004, Jens Kruse Andersen) 14 June 2004 Prime 7-tuplet (new record!) 1839198074074 * 500# + 165701 + d, d = 0, 2, 6, 8, 12, 18, 20 (219 digits, 2004, Norman Luhn) 11 April 2004 Prime 10-tuplet (new record!) 72613488698235 * 227# + 39058751 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (103 digits, 2004, Norman Luhn) 4 April 2004 Prime 6-tuplet (new record!) 138765468778 * 850# + 2822707 + d, d = 0, 4, 6, 10, 12, 16 (362 digits, 2004, Norman Luhn) 13 March 2004 Prime 11-tuplet (new record!) 35078052*157# + 398861548425071 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) Prime 10-tuplets 33744069*157# + 243858308984021 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31812413*157# + 394317153630131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30972388*157# + 218344297501061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30758727*157# + 315533630762081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28595765*157# + 247382879633621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) Prime 9-tuplets 35611584*157# + 357381443899211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 35551427*157# + 366870791136581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34921413*157# + 369706438721351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34869829*157# + 251500504825301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34649780*157# + 244006379346461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34646370*157# + 244290920863721 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34529382*157# + 291563132059931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34259318*157# + 180286729462571 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34123325*157# + 399495918691601 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 33779718*157# + 339329949788561 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 33329291*157# + 236674239381311 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 33177905*157# + 277097345895101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 33018845*157# + 344138267652911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32984758*157# + 342405499115411 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32870362*157# + 169850218547741 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32658373*157# + 216275942302151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32532625*157# + 302363499517811 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32339837*157# + 178772553289061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31956600*157# + 366486518307641 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31941875*157# + 197172849693551 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31878257*157# + 196843638130871 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31757608*157# + 317235074586161 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31701261*157# + 172356248173841 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31298843*157# + 240048573034001 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31297374*157# + 191614153540541 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30939891*157# + 324000718120811 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30432384*157# + 252513295464161 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30397690*157# + 270355108373081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30128449*157# + 286247443441691 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30105377*157# + 289985795258891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29879746*157# + 317876583133841 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29875334*157# + 378187797957701 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29657216*157# + 318853368012911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29435036*157# + 231380522783141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29429306*157# + 402380784245171 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29285201*157# + 386468787394421 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29190157*157# + 177665801963381 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29072345*157# + 386499146913611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28858478*157# + 199624424689421 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28595567*157# + 325685982922031 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28580717*157# + 310208900080811 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28412934*157# + 277469933270261 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28303151*157# + 212853842450981 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 3 March 2004 Prime 5-tuplet 912143859*1223# + 463001711 + d, d = 0, 2, 6, 8, 12  (522 digits, 2004, Donovan Johnson) 20 February 2004 Prime 11-tuplet (new record!) 34101658*157# + 164826429367331 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) Prime 10-tuplets (new record!) 36273553*157# + 106263743005151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 35405054*157# + 143751012544871 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 34101658*157# + 164826429367331 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 33395983*157# + 49822093470881 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) Prime 9-tuplets 36273553*157# + 106263743005151 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 36273553*157# + 106263743005151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 35405054*157# + 143751012544871 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 35405054*157# + 143751012544871 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 34101658*157# + 164826429367331 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 34101658*157# + 164826429367331 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 33395983*157# + 49822093470881 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 5 January 2004 Prime 10-tuplets 57022698378906*130# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2004, Norman Luhn) 41722868532499*130# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2004, Norman Luhn) 38086699157880*130# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2004, Norman Luhn) 31093147787913*130# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2004, Norman Luhn) 19998478341508*130# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2004, Norman Luhn) 11812549844873*130# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2004, Norman Luhn) 25 December 2003 Prime 11-tuplet (New record!) 92119245478633*130# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (63 digits, 2003, Norman Luhn) 8 December 2003 Prime 10-tuplet (New record!) 101916144*140# + 4430162371751 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) Prime 9-tuplets 109609514*140# + 1345955005511 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 108176859*140# + 619615191311 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 107438197*140# + 1306948197671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 107411822*140# + 1558626204251 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 102957975*140# + 1634493245501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 101916144*140# + 4430162371751 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 101916144*140# + 4430162371751 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 27 November 2003 Prime 10-tuplet (New record!) 50734299843911*130# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2003, Norman Luhn) 16 October 2003 Prime 15-tuplets (New record!) 1251030012595955901312188450381 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (31 digits, 2003, Hans Rosenthal & Jens Kruse Andersen) 1100916249233879857334075234831 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (31 digits, 2003, Hans Rosenthal & Jens Kruse Andersen) Prime 13-tuplets 1257591593802714326007187781561 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (31 digits, 2003, Hans Rosenthal & Jens Kruse Andersen) 1184766651374742349271516393351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (31 digits, 2003, Hans Rosenthal & Jens Kruse Andersen) 8 September 2003 Prime 10-tuplets 13727074*140# + 700992913706201 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 18129955*135# + 2713978021871 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 17061626*135# + 1444660912811 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 15350093*135# + 3063238183121 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 13260351*135# + 339749224931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 11166335*135# + 3185060884121 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 28 August 2003 Prime 10-tuplets (New record!) 19479468*140# + 500922766899671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 18009876*140# + 500942522555591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) Prime 9-tuplets 19843331*140# + 500712995788121 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 19100682*140# + 500613590812451 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 15697534*140# + 500145121100741 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 25 August 2003 Prime 8-tuplet (New record!) 65677369861*380# + 18000020393471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) Prime 7-tuplets 94567793996*380# + 1008002460581 + d, d = 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Jens Kruse Andersen) 84747482682*380# + 1008002460581 + d, d = 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Jens Kruse Andersen) 68321690868*380# + 7000220132021 + d, d = 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 67134110757*380# + 4000041600671 + d, d = 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 66221497307*380# + 6000305546351 + d, d = 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 65677369861*380# + 18000020393471 + d, d = 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 62952148129*380# + 8000060813861 + d, d = 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 62302274949*380# + 9000004768871 + d, d = 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 17 August 2003 Prime 9-tuplet (New record!) 1619062142 * 255# + 53344165991 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (111 digits, Thomas Wolter & Jens Kruse Andersen)   Prime 8-tuplets 1682472070 * 255# + 50281045931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (111 digits, Thomas Wolter & Jens Kruse Andersen) 1650559649 * 255# + 32262655541 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (111 digits, Thomas Wolter & Jens Kruse Andersen) Prime 6-tuplet (New record!) 8398544501*710# + 2000472907 + d, d = 0, 4, 6, 10, 12, 16 (306 digits, 2003, Torbjörn Alm & Jens Kruse Andersen, VFYPR) Prime 5-tuplets 8420254442*710# + 1000172347 + d, d = 0, 4, 6, 10, 12 (306 digits, 2003, Torbjörn Alm & Jens Kruse Andersen, VFYPR) 13 August 2003 Prime 13-tuplet (New record!) 129017282*65# + 3001560376931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (32 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 12 August 2003 Prime 11-tuplets (New record!) 58187756*110# + 2320048690691 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (53 digits, 2003, Jens Kruse Andersen) Prime 10-tuplets 1528484864616*103# + 21816911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Jens Kruse Andersen) 83307443*110# + 10782051850301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 82882198*110# + 10249157188001 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 78635717*110# + 11494283029961 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 73528025*110# + 1648806659231 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Jens Kruse Andersen) 68157058*110# + 10980991921631 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 761160494440*103# + 14699801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Jens Kruse Andersen) 9 August 2003 Prime 14-tuplet (New record!) 584834012*60# + 2369998485971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (31 digits, 2003, Thomas Wolter & Jens Kruse Andersen) Prime 13-tuplets 584834012*60# + 2369998485971 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (31 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 584834012*60# + 2369998485971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (31 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3 August 2003 Prime 12-tuplets 720345861287087*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 564115572162757*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 412477355651067*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 186519833921143*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 130171389197721*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) Prime 11-tuplet (New record!) 11450665899501*101# + 39058751 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (52 digits, 2003, Norman Luhn) Prime 10-tuplet (New record!) 3630285330832*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 9544892269415*101# + 39058751 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (52 digits, 2003, Norman Luhn) Prime 9-tuplets 3630285330832*130# + 258101 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3630285330832*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3491865276382*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3101419147158*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 2993013444907*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 2930952180158*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 2856085880609*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) Prime 8-tuplets 3630285330832*130# + 258101 + d, d = 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3630285330832*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3491865276382*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3101419147158*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 30 July 2003 Prime 12-tuplet (New record!) 332352838383*80# + 38458151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (43 digits, 2003, Jens Kruse Andersen) Prime 11-tuplets 757692469598*80# + 15840941 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (43 digits, 2003, Jens Kruse Andersen) 332352838383*80# + 38458151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (43 digits, 2003, Jens Kruse Andersen) Prime 7-tuplet (New record!) 94552004441*410# + 165701 + d, d = 0, 2, 6, 8, 12, 18, 20 (178 digits, 2003, Jens Kruse Andersen) 25 July 2003 Prime 13-tuplet (New record!) 5953176232124*50# + 9564671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (31 digits, 2003, Jens Kruse Andersen) Prime 12-tuplets 1373982090005*55# + 9825701 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 1303738474751*55# + 9825701 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 1157827564340*55# + 61026851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 988779997913*55# + 36922001 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 826679367331*55# + 61957781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 383109886120*55# + 36922001 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 5953176232124*50# + 9564671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (31 digits, 2003, Jens Kruse Andersen) Prime 6-tuplets 4657194227*240# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen) 4178187661*240# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen) 4155986110*240# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen) 12 July 2003 Prime 11-tuplet (New record!) 946772106455*90# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (47 digits, 2003, Jens Kruse Andersen) Prime 10-tuplets (New record!) 504610004802*130# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (61 digits, 2003, Jens Kruse Andersen) 946772106455*90# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (47 digits, 2003, Jens Kruse Andersen) 770769351225*90# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (47 digits, 2003, Jens Kruse Andersen) 504123432424*90# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (47 digits, 2003, Jens Kruse Andersen) 263753945647*90# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (46 digits, 2003, Jens Kruse Andersen) 219541663400*90# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (46 digits, 2003, Jens Kruse Andersen) 138941939395*90# + 9465341 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (46 digits, 2003, Jens Kruse Andersen) 31348534011*90# + 846731 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (45 digits, 2003, Jens Kruse Andersen) Prime 9-tuplets 1191819341413*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 599161493631*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 504610004802*130# + 872141 + d, d = 2, 6, 8, 12, 18, 20, 26, 30, 32 (61 digits, 2003, Jens Kruse Andersen) 504610004802*130# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 468215211281*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 424062795040*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 396182421244*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) Prime 8-tuplets 1191819341413*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (61 digits, 2003, Jens Kruse Andersen) 599161493631*130# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (61 digits, 2003, Jens Kruse Andersen) 504610004802*130# + 872141 + d, d = 6, 8, 12, 18, 20, 26, 30, 32 (61 digits, 2003, Jens Kruse Andersen) 504610004802*130# + 872141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (61 digits, 2003, Jens Kruse Andersen) 5 July 2003 And another new prime triplet record! (62258488321368*3331#*(1037*3331# + 1) + 210)*(1037*3331# - 1)/35 + d, d = 5, 7, 11 (4259 digits, 2003, David Broadhurst) 4 July 2003 New prime triplet record! (22877907949788*3331#*(1037*3331# + 1) + 210)*(1037*3331# - 1)/35 + d, d = 5, 7, 11 (4259 digits, 2003, David Broadhurst) 12 June 2003 Prime 9-tuplet 2242445342405*230# + 39058751 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (104 digits, 2003, Norman Luhn) 14 April 2003 Prime 12-tuplet 119488020007747*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36, 42 (39 digits, 2003, Norman Luhn) Prime 11-tuplets 226360040123235*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (40 digits, 2003, Norman Luhn) 116936663105935*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 111173136421173*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 95959443394183*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 63162865421965*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 48056992102575*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 46249936263407*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 44487029663629*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 39730901919589*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 28391456671303*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 19761657491139*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 14708622867577*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 13460442215145*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 11607911626691*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (38 digits, 2003, Norman Luhn) 5623401337989*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (38 digits, 2003, Norman Luhn) 3798824085403*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (38 digits, 2003, Norman Luhn) 9 February 2003 New prime quadruplet record! 11024895887*3500# + 855731 + d, d = 0, 2, 6, 8 (2003, 1491 digits, Norman Luhn, Primo) 12 January 2003 Prime 11-tuplet 1551399520415*70# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (2003, 38 digits, Norman Luhn, Powerbasic, Ubasic, VFYPR ) 28 September 2002 New prime triplet record! (108748629354*4436*3251#*(4436*3251# + 1) + 210)*(4436*3251# - 1)/35 + d, d = 7, 11, 13 (4135 digits, David Broadhurst, PFGW) (18599651274*4436*3251#*(4436*3251# + 1) + 210)*(4436*3251# - 1)/35 + d, d = 7, 11, 13 (4134 digits, David Broadhurst, PFGW) 27 September 2002 Prime triplets (90159302514*4436*3251#*(4436*3251# + 1) + 210)*(4436*3251# - 1)/35 + d, d = 5, 7, 11 (4135 digits, David Broadhurst, PFGW) (39553075974*4436*3251#*(4436*3251# + 1) + 210)*(4436*3251# - 1)/35 + d, d = 5, 7, 11 (4135 digits, David Broadhurst, PFGW) 18 August 2002 4000-digit prime triplet! (61504372896*5119*3163#*(5119*3163# + 1) + 210)*(5119*3163# - 1)/35 + d, d = 5, 7, 11 (4019 digits, David Broadhurst, PFGW) 30 July 2002 1000-digit prime quintuplet! 31969211688*2400# + 16061 + d, d = 0, 2, 6, 8, 12 (1034 digits, 2002, Norman Luhn, APSieve, PFGW, PRIMO) 13 July 2002 10000-bit prime triplet 813529138*1939938^500 + d, d = -1, 1, 5 (3153 digits, Norman Luhn, NewPgen, PFGW, PRIMO) 12 May 2002 Prime quintuplet 19685846183*1200# + 6005891 + d, d = 0, 2, 6, 8, 12 (511, digits, Norman Luhn, PRIMO) 7 May 2002 Prime 8-tuplet 15234072433401 * 375# + 43813839521 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (164 digits, 2002, Norman Luhn, VFYPR) 13 April 2002 Prime quintuplet 14519751105*1050# + 1042090781 + d, d = 0, 2, 6, 8, 12 (450 digits, 2002, Michael Hannigan) 22 March 2002 Prime 9-tuplet 223223099991*131# + 258101 + d, d = 0, 2, 6, 8, 10, 18, 20, 26, 30 (63 digits, 2002, Michael Hannigan) 24 February 2002 Prime quadruplet 10271674954*2999# + 3461 + d, d = 0, 2, 6, 8 (1284 digits, 2002, Michael Bell, Michael Davison, Matt Jack, Ronald Lau, Graeme Leese and Ben Lowing) 15 December 2001 Prime triplet 1281774717*2^9004 + d, d = -1, 1, 5 (2720 digits, 2001, Reto Keiser, NewPgen, Primo) 21 November 2001 Prime 15-tuplet 17905159760365247387 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (20 digits, 2001, Jim Morton) 5 November 2001 Prime 12-tuplet 5027317106963*75# + 1418575498567 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (42 digits, 2001, Norman Luhn) 18 October 2001 Prime 6-tuplet 110282080125*700# + 6005887 + d, d = 0, 4, 6, 10, 12, 16 (301 digits, 2001, Norman Luhn, PRIMO) Prime 5-tuplets 153992076979*700# + 6005887 + d, d = 0, 4, 6, 10, 12 (301 digits, 2001, Norman Luhn, PRIMO) 126232090357*700# + 6005887 + d, d = 0, 4, 6, 10, 12 (301 digits, 2001, Norman Luhn, PRIMO) 85001892645*700# + 6005887 + d, d = 0, 4, 6, 10, 12 (300 digits, 2001, Norman Luhn, PRIMO) 10351620147*700# + 6005887 + d, d = 0, 4, 6, 10, 12 (300 digits, 2001, Norman Luhn, PRIMO) 15 October 2001 Prime 15-tuplet 44360646117391789301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (20 digits, 2001, Tom Hadley) 27 September 2001 Prime triplet 81333879*6000# + 10114033337 + d, d = 0, 2, 6 (2568 digits, 2001, Norman Luhn, PFGW, PRIMO) 4 September 2001 Prime 11-tuplet 3676296453875*80# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (44 digits, 2001, Norman Luhn) Prime 10-tuplets 3550189241051*80# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (44 digits, 2001, Norman Luhn) 2629239228317*80# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (43 digits, 2001, Norman Luhn) 2061449204749*80# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (43 digits, 2001, Norman Luhn) 2041030972013*80# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (43 digits, 2001, Norman Luhn) 1655217690455*80# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (43 digits, 2001, Norman Luhn) 23 August 2001 Prime 10 tuplet 172831780223*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2001, Norman Luhn) Prime 9 tuplets 354919631791*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (59 digits, 2001, Norman Luhn) 137204068337*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (58 digits, 2001, Norman Luhn) Prime 8-tuplets 663256957757*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 653650912095*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 640812573245*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 632618207777*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 609413256327*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 600423265819*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 343716185689*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 307947615259*120# + 10527733922591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (58 digits, 2001, Norman Luhn) 16 August 2001 Prime septuplet 497423806097*400# + 380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20 (173 digits, 2001, Norman Luhn) 31 July 2001 Prime quadruplet 109267227191*2500# + 10531091 + d, d = 0, 2, 6, 8 (1068 digits, 2001, Norman Luhn, PFGW, PRIMO) 26 June 2001 Prime octuplet 243551752728*320# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (142 digits, 2001, Graeme Leese, Michael Bell, Matt Jack, Michael Davison, Ben Lowing, Tim Nightingale, APSieve and Titanix) 7 May 2001 Prime quintuplet 63687452535*1000# + 1002054791 + d, d = 0, 2, 6, 8, 12 (427 digits, 2001, Norman Luhn, PFGW, VFYPR) 2 May 2001 Prime 17-tuplets 163027495131423420474913 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 24 digits, Peter Leikauf and Joerg Waldvogel) 110885131130067570042703 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 24 digits, Peter Leikauf and Joerg Waldvogel) 83405687980406998933663 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 23 digits, Peter Leikauf and Joerg Waldvogel) 78314167738064529047713 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 23 digits, Peter Leikauf and Joerg Waldvogel) 47624415490498763963983 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 23 digits, Peter Leikauf and Joerg Waldvogel) 10 April 2001 Prime sextuplet 97953153175*670# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (290 digits, 2001, Michael Bell, Graeme Leese, Michael Davison, APSieve and Titanix) 29 March 2001 Prime triplets 1852468459*4999#/35 + d, d = -1, 1, 5 (2141 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 1042334284*4999#/35 + d, d = -1, 1, 5 (2141 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 177229114*4999#/35 + d, d = -1, 1, 5 (2140 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) Prime twins 1807318575 * 2^98305 +/- 1 (29603 digits, 2001, David Underbakke & Phil Carmody) 26 February 2001 Prime triplets 1279378536*4993#/35 + d, d = -5, -1, 1 (2137 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 508157676*4993#/35 + d, d = -1, 1, 5 (2137 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 122194876*4993#/35 + d, d = -1, 1, 5 (2136 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 23 February 2001 Prime 9-tuplet 388793398651*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (110 digits, 2001, Norman Luhn) Prime septuplet 367186669917*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 341082382285*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 309028110381*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 211798987423*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 194874572727*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 162219575409*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 147833310537*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 147418125173*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 58838104843*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 40748175917*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) 45741427235*250# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) Prime sextuplet 10^100 + 6763998516837 + d, d = 0, 4, 6, 10, 12, 16 (101 digits, 2001, Norman Luhn) 12 February 2001 Prime 13-tuplets 23103299697259151848713358139 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2001, 29 digits, TF) 20053548843535220950288365029 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2001, 29 digits, TF) 16824104622097306642757806093 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2001, 29 digits, TF) 7048103109527220036084225373 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2001, 28 digits, TF) 2 February 2001 New section for prime 18-tuplets Prime 18-tuplet 1906230835046648293290043 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (25 digits, 2001, Joerg Waldvogel & Peter Leikauf) 29 January 2001 Prime 6-tuplet 86450022463*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12, 16 (242 digits, 2001, Norman Luhn) Prime 5-tuplets 85916873579*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 84291055377*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 84271433877*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 56237183505*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 52678385407*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 51402153281*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 48397838885*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 47293971709*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 44153204655*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 43647265335*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 43048346163*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 37895666383*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 36040371675*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 23247713083*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 22538139017*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 20199942411*570# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (241 digits, 2001, Norman Luhn) 24 January 2001 Prime triplets 1855266543*4987#/35 + d, d = -1, 1, 5 (2134 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 1677761138*4987#/35 + d, d = -1, 1, 5 (2134 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 871453243*4987#/35 + d, d = -5, -1, 1 (2134 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 388838923*4987#/35 + d, d = -1, 1, 5 (2133 digits, 2000, Rosenthal, Jobling, VFYPR, PFGW) 11 January 2001 Prime triplet 10^2048 + 418590204063 + d, d = 0, 4, 6 (2049 digits, 2001, Norman Luhn) 4 January 2001 Prime quintuplets 97844425*565# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (236 digits, 2001, Norman Luhn) 730449617*560# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (235 digits, 2001, Norman Luhn) 2 January 2001 Prime septuplet 60922342070*350# + 5639 + d, d = 0, 2, 8, 12, 14, 18, 20 (152 digits, 2001, Michael Bell, PFGW, Titanix) Prime quintuplet 8219503*550# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (230 digits, 2001, Norman Luhn) 26 December 2000 Prime quintuplet 3242281037*900# + 1867 + d, d = 0, 4, 6, 10, 12 (384 digits, 2000, Michael Bell, PFGW, Titanix) 19 December 2000 Prime quintiplet 890803*550#+42642569857 + d, d = 0, 4, 6, 10, 12 (229 digits, 2000, Norman Luhn) 17 December 2000 Prime triplets 54283268*4987#/35 + d, d = -1, 1, 5 (2132 digits), 2000, Rosenthal, Jobling, VFYPR, PFGW) 781763166*4973#/35 + d, d = -1, 1, 5 (2130 digits, 2000, Rosenthal, Jobling, VFYPR, PFGW) 205702716*4973#/35 + d, d = -1, 1, 5 (2129 digits, 2000, Rosenthal, Jobling, VFYPR, PFGW) 11 December 2000 Prime 14-tuplets 1000000008282508019026959814211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000007541367760266886291861 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000006672161724368529625351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000005832631360266813468481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000005644941246959007679801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000004930964950164522054901 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000003068759599025980926181 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000001772437688818681781011 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000001553601074663653211311 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000001544051614464292419601 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 1000000001044178961179268851051 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 28 November 2000 Prime twin 665551035*2^80025 +/- 1 (24099 digits, 2000, David Underbakke & Phil Carmody) 23 November 2000 Prime 15-tuplet 999999999962618227626700812281 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (30 digits, 2000, Joerg Waldvogel & Peter Leikauf) 22 November 2000 Prime 9-tuplet 82912513*120# + 271263511153489 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (55 digits, 2000, Norman Luhn) 14 November 2000 Prime 18-tuplet 2845372542509911868266807 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (2000, Joerg Waldvogel & Peter Leikauf) 11 November 2000 Probable-prime triplets 10^2048 + 418590204063 + d, d = 0, 4, 6 (2049 digits, 2000, Norman Luhn) 5 November 2000 Prime 15-tuplets 1240068005144831867 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 47939384425506704057 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 65131261663903414907 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 105151328771084515847 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 343777648517223740747 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 1688918023298289733877 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 1920203741197964459177 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 2088253704394088213987 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 71606347081895458487 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 348214184662549960583 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (1999, Joerg Waldvogel) 499698524000527366343 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (1999, Joerg Waldvogel) 590079087912119470781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (1999, Joerg Waldvogel) 890273901447612226373 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (1999, Joerg Waldvogel) 1179182744110031765933 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (1999, Joerg Waldvogel) Prime 13-tuplets 10376921779284998681515754999 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 4510506252686813977940909503 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) 9682757967642917674972792273 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) 9695453809319686150814043989 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) Prime 10-tuplets 215212824183322513391 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (1999, Joerg Waldvogel) 609489599553950643371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (1999, Joerg Waldvogel) 618251649784877175911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (1999, Joerg Waldvogel) 2276358395393016997187 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (1999, Joerg Waldvogel) 31 October 2000 Prime triplets 141197621*3571#/5 + d, d = -1, 1, 5 (1528 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 98904621*3571#/5 + d, d = -1, 1, 5 (1528 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 76601631*3571#/5 + d, d = -1, 1, 5 (1527 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 5798296*3571#/5 + d, d = -5, -1, 1 (1526 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 4590864*3571#/5 + d, d = -5, -1, 1 (1526 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 192205267*2803#/5 + d, d = -1, 1, 5 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 185550167*2803#/5 + d, d = -1, 1, 5 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 163967787*2803#/5 + d, d = -5, -1, 1 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 153390848*2803#/5 + d, d = -5, -1, 1 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 141718533*2803#/5 + d, d = -5, -1, 1 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 120798077*2803#/5 + d, d = -1, 1, 5 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 119601153*2803#/5 + d, d = -5, -1, 1 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 115013147*2803#/5 + d, d = -1, 1, 5 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 44487678*2803#/5 + d, d = -5, -1, 1 (1208 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 41221423*2803#/5 + d, d = -1, 1, 5 (1208 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 33835037*2803#/5 + d, d = -5, -1, 1 (1208 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 16962293*2803#/5 + d, d = -1, 1, 5 (1208 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 2668322*2803#/5 + d, d = -1, 1, 5 (1207 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 19 October 2000 Prime 13-tuplets 608181837360884047265507519 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 19385978506392583398787867409 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 14 October 2000 Prime septuplets 90448453*300# + 80610557759 + d, d = 0, 2, 8, 12, 14, 18, 20 (129 digits, 2000, Norman Luhn) 5 October 2000 Prime triplet 1327691127*2^4502 + d, d = -1, 1, 5 (1365 digits, 2000, Jim Fougeron) 18 September 2000 Prime septuplets 97#*120328469 + 855719 + d, d = 0, 2, 8, 12, 14, 18, 20 (45 digits, 2000, Norman Luhn) 107#*98731 + 8722699619 + d, d = 0, 2, 8, 12, 14, 18, 20 (48 digits, 2000, Norman Luhn) 109#*585953 + 104980729739 + d, d = 0, 2, 8, 12, 14, 18, 20 (51 digits, 2000, Norman Luhn) 127#*848123 + 2488117769 + d, d = 0, 2, 8, 12, 14, 18, 20 (55 digits, 2000, Norman Luhn) 157#*9284237 + 35310842249 + d, d = 0, 2, 8, 12, 14, 18, 20 (69 digits, 2000, Norman Luhn) 17 September 2000 Prime octuplets 49507337255*199# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (93 digits, 2000, Michael Bell) 12 September 2000 Prime sextuplets 1189609319*503#/613777 + 446215867 + d, d = 0, 4, 6, 10, 12, 16 (213 digits, 2000, Michael Bell) 1972792882*200#/385 + d, d = -5, -1, 1, 5, 7, 11 (89 digits, 2000, Michael Bell) 9 September 2000 Prime triplet 410649*2800#/5 + d, d = -1, 1, 5 (1199 digits, 2000, Michael Bell) 4 September 2000 Prime quintuplet 10^320 + 1928441138811931 + d, d = 0, 2, 6, 8, 12 (321 digits, 2000, Norman Luhn) 26 August 2000 Prime 13-tuplets 198481810762642607347043833 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) 7329036390144957364770106229 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 11 July 2000 Prime triplet 10^1299 + 22101529023 + d, d = 0, 4, 6 (1300 digits, 2000, Norman Luhn) 1 July 2000 Prime triplet 10915478*3000#/5 + d, d = -1, 1, 5 (1280 digits, 2000, Paul Jobling) 23 June 2000 Prime triplet 10^1024 + 4899378623881 + d, d = 0, 2, 6 (1025 digits, 2000, Norman Luhn) 12 June 2000 Prime quintuplet 10^256 + 2533463851471 + d, d = 0, 2, 6, 8, 12 (257 digits, 2000, Norman Luhn) 10 May 2000 Prime triplet 10^1100 + 24526852771 + d, d = 0, 2, 6 (1101 digits, 2000, Norman Luhn) 22 April 2000 Prime quadruplet 10^400 + 84921178321 + d, d = 0, 2, 6, 8 (401 digits, 2000, Norman Luhn) 17 February 2000 Prime 13-tuplets 10038113093428157422727819713 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) 13746360711649613627966613163 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) 460809082326760839587909009 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 1502324719462855725118124459 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 1 November 1999 Prime quadruplets 11984747204231082960*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1032 digits, 1999, TF) 17293378403589618790*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1032 digits, 1999, TF) 331426625784936325*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1030 digits, 1999, TF) 3510160221387831655*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1031 digits, 1999, TF) 24947432928741915235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1032 digits, 1999, TF) 8954571083387140525*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1, 1 (1050 digits, 1999, TF) Prime triplets 117709786470818815*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1999, TF) 165772355312886595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1999, TF) 770574675876988255*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 966804221957125825*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1418467986186153175*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1505636942588010505*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1513666762406801275*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1533696105195426445*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1725931731839667625*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2053563717679576375*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2082581011513724995*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2396220434519123485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2431500315102150565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2463800071824193375*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2645806236939918325*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3027501066666598795*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3324959199500240575*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3392967768988930405*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3421860898701537565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3483721643536977115*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3850267699058813305*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3988134010440141835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 4656971513409327385*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 4991335584719936725*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5012116878312676405*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5042882168587835845*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5170385066788714045*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5201843498802713035*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5217743045435132485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5338781558677759465*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5485261065685913785*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5498192757895920355*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6298737939636004135*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6520874963995724605*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6830541315593928205*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7140379433531716645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7326855392130106105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 7601947591783847575*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7620574502740491565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8019902232170801245*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 8152334996010037105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8202849978814883665*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8511371752443552265*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8569448514257272915*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8646944604201255625*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8798697998992694065*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8883629912388263305*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8955778240022175835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9318604262539664365*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9373455121085357575*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9758429523977987125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 69993772100843260*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1999, TF) 170139502650598150*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 649630990266589000*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 779064831547242910*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 998445075672364990*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1078062152811454480*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1226009479502508370*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1286131137779979160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1354114082598527920*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1418721254820840640*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1501988708231291950*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1541325548271769930*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1654484753085094600*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1691313077998774900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1768405052833089340*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2263078630227665920*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2790010603149280180*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2982230392653772930*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3053231332463452810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3278819664872612530*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3929871537420809650*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 4083459769783835110*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4086197583108811840*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4224900110594554060*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4617321335417261140*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5136914959516420750*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5147411143295151400*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5543547398710782130*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5879911177016487280*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6009382525562817070*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6411906303973290790*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6507146062800343630*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6935313716970879910*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6954195216602724760*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8459904111549351130*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8545510861467590680*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8799487720312069450*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8805380815518517900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 8834343113390725600*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9471374114403952420*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 9656592054316247710*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9782531642169987370*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9890353606402269670*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 94712594614007790*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1999, TF) 260561730684495660*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1999, TF) 318271499149744560*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 426077934556624770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 552522756371196030*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1009293226156215420*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1120135282898792580*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1130012325289848420*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1213887481893436770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1250030465956662810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1543723352000179770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1697062077074304360*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1803978543711394470*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1890870101753743530*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1912897981638454230*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1935707731535168010*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2177901300843338490*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2393368114316760000*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2454128236501562040*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2454128236501562040*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2598178164440739300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2976714417427351020*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3095232491452371690*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3225283492386736200*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3304101611046166350*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 4380207095492819010*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 4438820322261335430*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 4660385829983804340*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 4857701744641836510*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5214906700690096830*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5529542024098933260*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5549495800647539160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5709067986580899360*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5832720889918382880*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6355831892582082330*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6389693281323602670*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6441700671992015850*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6615948323651457210*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6661797965826483900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6677473176961617450*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6834544615415727630*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6943634158755955080*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 7671234992069379150*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 7685056049582962470*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7919714444599377840*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 8111577355563031770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8149109779868047410*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8227925912331655950*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8277684433840742340*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8301155456213630430*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 18404763554228730*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1029 digits, 1999, TF) 125167253946466410*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1999, TF) 222636747926664750*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 241302720213917040*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1999, TF) 398295644478823770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 731808349002031980*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 879005810584212990*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 879280802440932570*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1468745545527401820*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1775944835108075310*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1912535668555303470*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1960240389071826540*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1985719869703821930*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2078958185873250360*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2297368195091070780*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2398275300557047590*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2462932669344388920*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2739094584139465230*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3474008836316400060*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3600778196906282070*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4029157305191790450*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 4270612092867962520*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4394284910367393720*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 4559767923820881450*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 4650824146765738620*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 4779640164691393680*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 4825326349174592940*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5060445464431488810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5390685218077501020*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5454858048337189170*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5814613041334118700*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5905922916187215600*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5940334536498353670*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6755931609010255350*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7096149139063285980*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7178664690303868440*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 7573696169971993740*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7769770699748318940*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 8208576774349433160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8457075890061900780*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8487489730315027110*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8686440802155888450*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9199264329105692520*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 9452159136888589800*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9510347320205303250*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9516098361696057810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 9533142662987565300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 9858483896658919200*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9963546512634576540*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10406075797751785830*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10789771206766683810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10948434975711555000*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11206284800622973740*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11796039890825311800*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11837438141333055930*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11984747204231082960*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 12035611259111061300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 12145924151613013440*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 12488711832444779610*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 12743281349545428360*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 12853233963571202880*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13031522473629481500*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13169677638743007060*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13323968985765439680*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13475887365542493570*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13631593659014542890*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13725199109080951170*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13853219845320537360*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13885128471384131640*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 14140312863890595060*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14632876314027883590*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14852133044347180260*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 14925939827198521800*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 15004370725571328780*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15212815765028333130*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15313334305850052150*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15506246925432645060*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15719576689916691270*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 15796569593669296110*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15930783861383152440*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16517841168706549350*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17158140490081362450*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17189778614032245900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17712760683964307640*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 18009756836528939160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 18388774392304217580*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 19012237605554014500*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 19150015740817032750*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 19228124017228468020*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 19573764017147131470*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 19640356540784541240*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 20293698885965927100*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 20311192335893841060*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 20379190409086090260*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 20411809839597227730*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21239957520648087900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21552473016498555810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21579847635812527740*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22065543434750267130*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22229536043491067970*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 22321202763197980320*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22512472484721340800*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 23018661619683681630*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 23525120311960428840*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 23626450864425630900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23977180595209993830*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24081738092786926230*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 24113826035768290500*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24123688951695725070*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 24210598216396073160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 24231581205798558270*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24250600909678625160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24346855969734369750*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 70300829095767485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1999, TF) 85747619680072565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1999, TF) 347202069200166395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1999, TF) 493620574586319395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 689295685804075565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 785984303204820935*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 938411260881734855*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 969645853110805085*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1332616759053950585*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1488837433740687245*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1620882129094208195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1636699658756272325*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1720397721339447365*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2208780608976311585*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2481332637294280985*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2749806194647902605*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2988381128668976255*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3383191403948246105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3584559396122454965*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3609131842941755345*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3818786106212327465*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4077461691088435865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4080747058422404585*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4586917120952196245*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5121248433163622975*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5219731215405547055*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5352462214255256315*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5617209688325895875*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5643877173962407595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5738854639825086995*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5965694466123171995*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6411266295370927205*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6464048030905745495*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6515743499146832165*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6718537308863119955*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6735212403947978165*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6804472859522858735*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6906949519705405385*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6912763814717591045*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 7128468578823061685*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 7264358630269931405*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 146273512644990190*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 332127635116928110*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1999, TF) 411815546473171300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 470654757841468660*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 659465355437799370*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1037586628915066690*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1207197619202405290*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1316123335855198330*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1489793339392949050*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1675500406630140550*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1995659704037159620*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2111706779794051900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2341824029758283530*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2359466533386873370*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2367986055887072080*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2441574740917772920*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2850256379368068130*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2924256514578909970*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3471018209020002100*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3812898159543133120*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3972261733787777890*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4269641138039968150*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4397678909874200410*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 4404297853349694760*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 4487416686752009470*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 4489289245089148960*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 4686564804924112570*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5031607158230032840*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5391665259701180920*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5494562306494962160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5530914635776260190*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5626805008371437350*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5961611295038239300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6114893768137564870*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6406273452177018880*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 7000793278244826520*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7633702683326470210*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8018886732389453380*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 8129705252164966930*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8139819973684049110*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 9117050566968094210*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9364808502354025180*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9447670028248332340*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10061854088444859160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10309574227436754730*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10328567650530549880*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10340778107808969280*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10640706485303024590*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 10686869788245020830*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10702480246005358270*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10712850333678293260*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10859580186358353910*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11019768949226848270*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 11141487034361404180*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11195831742703848700*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 11339970906229375870*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11753066508279246610*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 12109688762036846440*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 12888878509082416300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13245562465642907860*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13377438236636914900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13493717150504311180*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13588276951488769990*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13747609380853298410*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13957981190437945120*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 14043656800424531740*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 14211598839644186440*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14623965453392866030*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15262231602949711840*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15420164858976718300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15420565840523934550*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 15586940073182748730*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 15983899135036563190*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16096090276974768520*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16427097429936864130*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16527664905510339040*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16560129105548508940*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 16733514160817844850*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16749731379873222190*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 17275361591174257030*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17293378403589618790*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 92621629249511045*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1999, TF) 139512919921176485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1999, TF) 143851202834090435*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1999, TF) 189222251014077965*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 329260707685811585*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 580573902136329785*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 581381380532694425*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 623189913552497975*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 865408788061819685*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1121756999628576995*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2572821831296078045*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2757019146760710515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2784434822524827155*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2796214150824135725*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2970373859497315955*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3043216315609832045*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3353594312938791605*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3640971679211258075*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3885067849657906595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3955727972274830435*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4113076406182725665*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4157836914320641235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4183326374119804595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4238642081908816265*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 4484582403608188565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 4580640828939036545*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 4703653285742853125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 4829972052054531065*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5038698529636733645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5341478232785136125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6567244407649807565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6721134984170878955*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7297092797890297085*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 7528904276906033705*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7616929348180844375*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7692770742691536185*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7703948778594420035*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7857963622305938825*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8023349237651149085*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 8254598352191533025*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 8551544829559173125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9019711154201629565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9123561853186592495*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9190920490678968725*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9311986880044980815*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9341119195654858295*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9392323487016852065*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9676981489075412195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10025229706109219285*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10320776839027106135*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10585973852815953275*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 10698632962612706795*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10914246114969669155*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10929683356509859625*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11096331521334260885*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11302443205692790835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11486961682306682255*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11543473857458955095*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11769818926683569435*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 11812208303853519245*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 12002712931279422035*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 12311969112581279825*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 12494960383305742025*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 12752256304985088575*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13079807826804110075*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13163567261789636375*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13180215989082003545*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13481376856521946055*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13711939964725844525*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 14134548870520179785*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 14204753291593826645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 14228478531861565655*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 14367130682077054565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 14632464602829084695*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14698285443544214195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14856615402420283175*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14928207858696824375*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 14957359304297211485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 14998791573344330435*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15012401005853803235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15174928944983028905*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15811847114100138785*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15950136886535543375*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 16315304778267796985*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16330020058932201305*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16542980477330368745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16898029160030460125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 17134126291673963255*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 17319823145719566155*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17508631840333715765*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17566814392786390415*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 17610622926614599565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 17663179281908221745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 18044693623033378985*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 18056798266248093035*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 18373003718837639555*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 18541384414189838885*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 18575572441010576675*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 18651143517237082535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 19162761810389298785*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 19282700863295140955*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 19415295523622299985*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 19452902089496267075*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 20163949610106894275*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 20391171987357833345*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 20528517423291028835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 20560824909288645665*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 20722607672721125855*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21148865355657130775*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21333554334789498485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21465376837229657015*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21497876423366494835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21577379321797811195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21586190416639920755*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21645945978402257195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21712364724071673335*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21818169547716533675*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21825650185394567195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21870333826661031395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21891455228011200515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22132581356609845805*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22146918456041440745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22260836363341497605*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22360880112563053745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22479874927573735355*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22654870036277610815*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22685813038094247725*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22803474567123261695*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22806520843820615585*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22855826812296099305*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22928897158890784745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22953649099763593895*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 23076422608040953835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23367514937978482955*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23624421622165475795*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23997974827966100645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24138130214080694495*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24178635237324189305*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 24548995060327539485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24608503228159732565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24921242280913370075*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 24925277194779593315*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 25058499956796457835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 25129557017179236305*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 25323243209057625515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 25511958142646557265*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 25997855134096527365*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 26095465426448840105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 26165555610141289025*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 26356382281941123095*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 26728981240338789095*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 26933493477544005035*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 27383689740220565435*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 27514943262366311435*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 27557638826692085795*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 27851938391263187885*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 27867370529777069975*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 27897184234370302535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 28214117550203696795*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 28376731664754374585*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 28426593205419690965*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 28643005899421074845*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 28859279984483770505*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 29113028876325225515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 29259619126187862095*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 29470387609619498225*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 29476101625725176105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 29594453192155743575*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 213524394719507515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1999, TF) 331426625784936325*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1999, TF) 372778784413366975*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 486303007533985285*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 611849666377651345*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 959068508592155605*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1382849455311415735*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1560873348893079865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1902622180374447175*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2567740677681951415*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2609521415114895925*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2632390165936752865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2903287383705510445*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3323978931214202905*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3423442514711030455*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3510160221387831655*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3684690932388357535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3768586690726118905*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3905102616280387165*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3914689956740154235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3995990068353624985*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4013661856713981115*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4578944401307297665*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5452884123292707745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5669010666332014645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5742936353890487395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5904536733993699445*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6353136564617083885*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6360001957447510015*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6689051007334557505*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7212455713546354915*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7580308390766943475*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7877162628379646245*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8604536636479355215*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8925086097883417105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9129132986340378655*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9704515936583309485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9784447642935517195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9820714201932015025*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10047379282039050595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 10456344271412811415*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10555246902389060515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 10866092295789542455*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 11367357577466372125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11493470429728318675*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 12027260621482938475*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 12326078986124365105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 12709497450104466655*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 12885110992768526155*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13033477311294191395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13491036665800325275*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13556842011377076055*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13640691592167861865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13818158661785599765*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13969137161563615675*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13986265254752352205*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 14203241862609070915*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 14638314013551379795*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14705602986725612605*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14869848245241481135*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15018541543847733535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 15097620449371571755*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15330819601510474705*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15595358399641652275*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15700942305571995115*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16292141077701070225*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16480496528139905905*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16593418751882794465*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17758924819488894685*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 17993602724199884425*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 18095208654918656905*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 18183677968571477005*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 18392260725041875315*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 18550635525807907165*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 19297588543436695135*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 19334489935280972095*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 19479719332468366615*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 19482052070491962595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 19502276313904605865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 19561411045020055855*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 20018886510137376505*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 20251547719777405675*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 20475063606430484695*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 20787275708024767585*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 20788410039561876355*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21014605211348580475*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21046297541289552175*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21131874539096462785*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21254297699653660285*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21393462888510944875*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21394635762464646325*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21406174587949472965*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21440720968401106015*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21946365903109569565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22005823743644312215*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22145389926988199515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22193276404166118895*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 22345189716834816475*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 22460768292879758485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23223099598196189335*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23475501377875358455*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 23488532423379555175*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 23604967687199940685*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24061195760436936745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24183336312969925735*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24249895133521278865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24498254578149904195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 24673118891519770315*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24744774688993240525*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24800921586381211915*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24889934184714770815*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24915132709102167175*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 24947432928741915235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24967314387059596195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 25236927879820128115*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 25717411193048286355*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 25748722260843913975*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 25761675031537556755*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 26033835107769130285*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 26160898195554954475*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 26294543395521993235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 26569174926692800045*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 26649172084923579835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 27116836379218817875*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 27235781004134164105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 27491405863171812205*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 27970462480541262325*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 27970650406612885615*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 27979908767187578845*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 28533034822898657695*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 29170695369458644645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 29185422653634919315*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 29235565221488367385*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 29496855065950003375*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 29509106398080971305*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 29547864794450584225*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 29817918720501463195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 29900533826489097415*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 30136691562203107525*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 30158884230528615205*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 30491048174010135355*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 30579252035926635685*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 31003462019013886045*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 31096981777547277235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 31120917920890599445*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 31218393785956979245*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 31490680196780626465*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 31553920321484882965*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 31714750598609520085*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 31746742479585805315*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 31908794355485509105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 31934783055409365775*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 32154714063626786275*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 32251291167387183535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 32388857869729052335*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 32545616143574735845*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 32642829462466334755*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 32780665565288322325*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 32785124102620230985*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 32814346837547226595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 33079310447782900945*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 33276489858606566215*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 33293582949416371225*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 33429595598203556395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 33710918820534557245*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 33806598881027163835*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 33828643464767422915*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 34092902765458278385*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 34304245690274691775*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 34524631125282730075*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 34613075964086061085*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 34831408716912279115*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 35074657738142233855*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 35202944546316318415*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 35493148026517893355*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 35576493139002577405*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 35643301294615135765*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 35825279080086868015*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 35928573441227268445*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 36381736213299328495*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 36647243096614912405*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 36657888449656425595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 36786038269215336745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 36832869887229227455*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 37202896549140934255*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 37247872392094295575*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 37269764028940204405*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 37570939193509813735*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 37589405134483223665*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 37900477438765082785*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 38102721593606821795*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 38307819633870498355*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 38468970770745927055*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 38484884266929321865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 38741032212711630445*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 38780455428510957805*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 38905422046115716735*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 38907289900985878015*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 39010104956911169725*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 39300722363846835535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 39389594863650613225*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 39546188451455127085*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 39579192985547737165*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 39680326850638125295*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 39907470059145380335*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 40168737063358985725*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 40311588829321461295*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 40404939644532444625*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 40545852585990233125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 40633099358746796545*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 40793513554060218595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 41026126567162798705*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 41264823780393755185*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 41379661831112826865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 41408431584221723665*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 41462063297790827335*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 41712445829547324475*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 41894064939018964315*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 42019446569820091015*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 42155440844678502985*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 43448666097684389185*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1033 digits, 1999, TF) 43584535124413004365*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 43595518550828065465*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1033 digits, 1999, TF) 43720270258163110255*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 43990581095732152525*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1033 digits, 1999, TF) 43990860558816172645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 44058185223949398145*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1033 digits, 1999, TF) 44358781906699261645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 45125069488322355175*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1033 digits, 1999, TF) 45188084098260414955*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1033 digits, 1999, TF) 45341606309411864095*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 45460193946024679465*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 45589371109365404965*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 45629994107241855955*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 45674759072775314125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 45854295398590370335*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 45950971806787619215*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 45992223761245653535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 46932745700647157995*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 47057221599382486135*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 47175578424335092375*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 47723542228381220845*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 48048685996752923125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 48193406703155465395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 48276328770431183065*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 48425788799298001735*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 48681303449565498355*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1033 digits, 1999, TF) 48819058761089358385*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 48863191956840142525*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1033 digits, 1999, TF) 48983499421965109645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1033 digits, 1999, TF) 69249353358207260*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1999, TF) 473596652062065770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 479501169846551090*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 793992158638190750*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 1056582645463477370*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1204418722433048360*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 1521523913698440890*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1563978793835230010*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2263706630856302870*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2314761554402859800*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2410323819629177690*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2482137322121729510*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2502691403657717510*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 2567773753430858210*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 2733685815745536890*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 3531964267064935940*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3592463208403321490*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3830364487401564350*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3868555992518399420*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4036336238319036890*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 4247292476486972150*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4399518171600494180*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 4463127410374044650*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 4466686667039769410*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 4684580968755790340*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 4937635461283897610*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 4981539618739696250*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5342649308610305930*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5560996738047162650*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5585080010245878380*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5652550119883328900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5678911508047349810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 5746140018368862350*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6115239390750742490*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6215070665653632020*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6696500240006188850*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6763221628778096720*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6798904301530072970*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7398556983653908310*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7606500692829120320*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8247266228552523410*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8930457773964408920*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 9386767422224784830*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9429798897484918190*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 9745021996762464650*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9924822584336472050*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9997470718974060560*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10155191750769507680*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10302171592395975530*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10452213130675878800*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10665689412071576120*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10969722313761523550*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 11019458212091941850*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11084812131477176330*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11228331334418010050*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11228871370866561650*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11320269857538343940*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 11481078766158613850*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11555001582734942570*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 12812043620894169890*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13192460930717710880*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13369737398041756970*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13735336257680069270*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 14646015208872039230*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14646015208872039230*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1, +5 (1032 digits, 1999, TF) 15405988152610197380*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 15643504525687250450*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15722637457165230830*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15776167561971228650*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 15922463119761260300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16039655873781722420*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16051638565286886800*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16079623817226471740*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16126748210499028340*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 16308387335416778840*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16361385549564187370*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16435163596715315690*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16579881570453293330*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16585463627126366210*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 17177658615112197440*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17570497124662874630*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17649842173734022490*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 17712337965363303500*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 17881983207545158940*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 18139268152609115750*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 18148264780628724980*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 18158664170880855860*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 18540638209365684650*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 18613979385796506950*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 18952265013916606610*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 19174556051777688800*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 19524167003052003530*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 19527166806381236240*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 19696215355003089140*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 19756744119619429160*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 19909607342542599920*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 20440407462502069280*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21027127767966972890*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21416026895364753890*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21516124894525693670*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 21559351987876515050*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 21576683314431057050*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 21828071699433201440*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 22048803055106489900*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 22121762035302121430*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 23023101959553277820*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 23095692938689943810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 23119251863669283560*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23333110570862734880*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 23442473798289277970*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23456283650071094060*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 23550224478995366390*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 23579150730190918100*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 23768423266337892380*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24002920802248230080*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24334490642501061260*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24351850280656270610*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 24368809238439638210*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 24633989852894704520*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 26 October 1999 Prime triplets 18962578273590265*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1047 digits, 1999, TF) 186871590824770165*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1048 digits, 1999, TF) 215201098264423585*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1048 digits, 1999, TF) 513748718068096825*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 556995743651388355*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 691863597399676015*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 736503988543804795*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 1103038596501202675*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 1161069440001862705*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 1203389835071665555*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 1279523440192969285*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 1785693028650412195*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 1838523065799421315*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 2081214211182567775*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 2126476621166208625*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 2854013142382533445*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 3160034494470635095*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3162099576154169965*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 3195048202950465175*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3428901303649713205*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3762803716837416565*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 3775569022146212605*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 4057386835346495965*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 4343696205631283815*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 4497961979071842595*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 4922798894172881035*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 5474730724380949345*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 5600167315002972025*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 5682560847383050945*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 5715325995017900575*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 5797938619543541785*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 6035387260732891375*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 6119782231531830175*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 6244726700476455505*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 6584575002013549855*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7068806154318279685*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 7173666140171252035*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7334995786145168455*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7424540381775708505*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 7588783201886507935*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 7842365955575302465*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7931307359619815485*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 8021747129446081345*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 8060304968895050185*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 8350538575334697055*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 8647846964664508915*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 8779018979160921805*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 8816470696720007635*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 8844331358653762285*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 8869761977931556015*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 8901120838020352255*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 8954571083387140525*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 8986784331163890565*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 9062731362156363205*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 9332198130528874915*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 38103388341228790*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1048 digits, 1999, TF) 134849020248202840*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1048 digits, 1999, TF) 405220199976722710*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 879985437478247680*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 1245766278432476380*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 1323653059541953720*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 1383796886557916410*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 1385023623831057790*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 1666159260307062100*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 1726921762000415560*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 1742929171581458440*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 2279672750632057360*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 2397773810763852100*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 2640838087226509750*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 2735884333736474500*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 2787031754710233610*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 3146055934506295390*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3164320512747614800*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 3252255187683872950*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 3280987716408853030*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 3307403339118849550*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 3416607520961255200*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 3713033828077324330*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3830492454587259040*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 3918457717117644280*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 4185016572775519060*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 4241335974717382120*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 4330090351085259340*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 4561440992959851580*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 4574873949639253840*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 4606158130059096190*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 5146251135107262760*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 5378612960585445160*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 5585428587947208580*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 5914478597133597070*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 6099703546623867760*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 6561673484649503800*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 6639809361887722600*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 6861609473403004900*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 6894703234827528700*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 6959027487141800650*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7278294856800538150*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 7336206552869024410*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7348369421314972630*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 7414044408596646400*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 7465204356235056010*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7547326944778541500*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7801533843381899200*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 7831206540341905300*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 7925313146454574450*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 7973564336971834180*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 7987622261332304170*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 8019702463437265180*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 8522895262156665970*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 8586357738393315460*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 8660869770679737190*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 9001720402602968620*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 9081547052961043240*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 9140314501599661960*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 9456831209345760820*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 9815974947064877170*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 9870170402707805770*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 9870777755422044040*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 10172465134974573010*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 10206855980877656680*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 10220492392230991450*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 10405622723573237740*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 10416030176178597550*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 10419676317924193900*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 10447807381132682140*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 10535579465985284290*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 10621435690174679950*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 10637786496348241810*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 10879244302247852110*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 10927081594810001200*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 11170289435103989770*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 11465950795363895410*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 11516176180421823490*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 11746889929185982150*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 12040260022155896110*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 12676898234261371690*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 92277353447991095*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1048 digits, 1999, TF) 402202789488911795*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 655900452737721575*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 807364059707116295*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 992403993372252845*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 1187075009316177365*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 1934838106158008435*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 2034463186806521855*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 2038428788618243405*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 2294957336191000865*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 2533707827345706395*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 2686569223584457595*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 2845904390298500915*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1049 digits, 1999, TF) 2870770292586627815*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3185163945289807865*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 3285208923083799095*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3476361480916785845*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 3527798794566237575*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1049 digits, 1999, TF) 3594639145826329985*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3718866349776989795*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1049 digits, 1999, TF) 3907429344851343695*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 3918250882140546335*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 3948392047356408035*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 4155567129312380165*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 4169768505511560335*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 4252532599164380915*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 4395232068771315155*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 4604837319876905495*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1050 digits, 1999, TF) 4616923520896428125*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 4956887080241507795*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 5066735031362786165*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 5166964723137258425*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1050 digits, 1999, TF) 5170231722342868565*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 5257646462390533595*(2^3423 - 2^1141) - 6*2^1141 + d, d = -1, 1, 5 (1050 digits, 1999, TF) 24 October 1999 Prime 13-tuplets 17816158320751140329641668943 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 10555168094132791674478990993 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 1 October 1999 Prime 13-tuplet 13844218031395056678684698323 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 28 July 1999 Prime 15-tuplet 123452114023762529883167 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) 11 July 1999 Prime 13-tuplets 51266177156863875262993 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 26038813384244600286283 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 6238150357928774147879 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 25 June 1999 Prime 15-tuplet 83019482945581153328297 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, TF) Prime 13-tuplets 97764295128884196685889 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 83854953131315765786323 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 70844009466804611780759 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 64693112048658082572599 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 58283272229478410967869 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 45584814356797780677629 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 36654155409611056850549 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 29569727960809576106503 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 13515361415265386904163 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 18 May 1999 Prime 15-tuplet 9092658362701624427657 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, TF) Prime 13-tuplets 64946748041358427180873 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 69618050644582786523113 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 74923694228623862719033 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 43071665602170896984309 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 30021443023567643360729 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 11441833185534251953469 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 4375508924577978564313 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 3572742406028021098889 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) Prime quadruplets 24947432928741915235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1032 digits, 1999, TF) 11984747204231082960*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1032 digits, 1999, TF) 5599559743211534470*(2^1623 - 2^541) - 6*2^541 + d, d = -7, -5, -1, 1 (508 digits, 1999, TF) 23 April 1999 Prime 17-tuplet 1620784518619319025971 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (1997, Joerg Waldvogel) Prime 16-tuplets 1169914227530138703617 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (1996, Joerg Waldvogel) 1099638576123052218257 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (1996, Joerg Waldvogel) 695874886175252911063 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (1996, Joerg Waldvogel) 347709450746519734877 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (1996, Joerg Waldvogel) Prime quadruplets 4256654198219263210*(2^1623 - 2^541) - 6*2^541 + d, d = -7, -5, -1, 1 (508 digits, 1999, TF) 4147394727940164070*(2^1623 - 2^541) - 6*2^541 + d, d = -7, -5, -1, 1 (508 digits, 1999, TF) 9 April 1999 Prime 15-tuplet 3514543809955921179377 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, TF) Prime 13-tuplets 50271196507181177464873 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 37406082044130014998799 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 3638236115218812794623 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 26344371358205677884043 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 99094810868212641434969 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 97884015987913338760513 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 97679289965191087380163 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 95332610641697040815219 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 92587907062649675573833 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 89823298252043144695843 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 87958778416696112298389 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 85472003429041702976519 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 78139730390385577530553 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 77596735344885186416923 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 74262886559205692150819 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 69961467463715959244129 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 69311555742846503629559 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 56227303483687092489749 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 55166172881845055253239 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 45549721766577611545979 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 44838995887909847757149 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 40957561702485676825513 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 34238046173195607920113 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 20568831385124542442939 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 18688334332741699783093 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 17377947627780772475459 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 16787591942891936489339 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 15719088863253071643283 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 12807942539700815023453 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 12515629822936464881593 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 12025162080993908389559 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 10112066779582222371853 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 3825695629049199929039 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 2858815689675549771103 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 1862051696668798057439 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 732250327919631924419 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 30234309281356076833 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 63693120824902342911073 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 96075485286591362308693 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 16464641579061333795073 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 43440886781684352363419 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 46331179234676190097259 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 60637432520120244856003 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 59146502800201928918743 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 45314413374518330999893 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 30098331536818266598813 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 27173519567771910205889 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 26429850788746627585379 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 25998936208595596773463 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 22540252705753648092163 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 18728085646769937671249 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 8585845263033986090159 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 2522797978487923463263 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 95466287473085896303 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) Prime quintuplet 2^576 + 103306069845291 + d, d = 0, 4, 6, 10, 12 (174 digits, 1999, TF) Prime quadruplets 2024117939855381740*(2^1623 - 2^541) - 6*2^541 + d, d = -7, -5, -1, 1 (507 digits, 1999, TF) 203929583771894350*(2^1623 - 2^541) - 6*2^541 + d, d = -7, -5, -1, 1 (506 digits, 1999, TF) 356389231693235110*(2^1623 - 2^541) - 6*2^541 + d, d = -7, -5, -1, 1 (507 digits, 1999, TF) 368765034921533620*(2^1623 - 2^541) - 6*2^541 + d, d = -7, -5, -1, 1 (507 digits, 1999, TF) 1112353783291741360*(2^1623 - 2^541) - 6*2^541 + d, d = -7, -5, -1, 1 (507 digits, 1999, TF) Prime triplets 959068508592155605*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1382849455311415735*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1560873348893079865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 1902622180374447175*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2567740677681951415*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1998, TF) 2609521415114895925*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 2632390165936752865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 2903287383705510445*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1999, TF) 3323978931214202905*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 3423442514711030455*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 3684690932388357535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3768586690726118905*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3905102616280387165*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3914689956740154235*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1999, TF) 3995990068353624985*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4013661856713981115*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1999, TF) 4578944401307297665*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5452884123292707745*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 5669010666332014645*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5742936353890487395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 5904536733993699445*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 6353136564617083885*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 6360001957447510015*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 6689051007334557505*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7212455713546354915*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 7580308390766943475*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 7877162628379646245*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 8604536636479355215*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 8925086097883417105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9129132986340378655*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9704515936583309485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9784447642935517195*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 9820714201932015025*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 10047379282039050595*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 10456344271412811415*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 10555246902389060515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 10866092295789542455*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 11367357577466372125*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 11493470429728318675*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 12027260621482938475*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 12326078986124365105*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 12709497450104466655*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 12885110992768526155*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13033477311294191395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13491036665800325275*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13556842011377076055*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13640691592167861865*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 13818158661785599765*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 13969137161563615675*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 13986265254752352205*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 14203241862609070915*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 14638314013551379795*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14705602986725612605*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 14869848245241481135*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15018541543847733535*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 15097620449371571755*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15330819601510474705*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 15595358399641652275*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 15700942305571995115*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16292141077701070225*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1032 digits, 1999, TF) 16480496528139905905*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1032 digits, 1999, TF) 16593418751882794465*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1032 digits, 1999, TF) 16 March 1999 Prime 17-tuplets 2639154464612254121531 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (1999, TF) Prime 16-tuplets 2639154464612254121537 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (1999, TF) 20947353617877810296177 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (1999, TF) Prime 15-tuplets 2639154464612254121537 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, TF) 20947353617877810296177 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, TF) 2219454489112235462027 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, TF) 269337329665351844837 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, TF) 72602373114009889213067 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, TF) Prime 13-tuplets 95493546461512478966623 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 92396935300560822284369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 79418108046900205820173 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 74559068778442818623069 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 74078966826552770419273 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 73634200851953782983959 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 6331871749900279309663 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 62906719431651659336789 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 31890990340822882155823 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 2639154464612254121549 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 2561066519931421274789 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 87918760359810620313089 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 85357936740782874204973 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 55902903061398073834169 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 47913648051343767385709 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 77295505702586261837683 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 70678913781603967196293 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 44911818295846902162779 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 38899069925719604864279 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 27261755591609208747013 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 20947353617877810296189 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 13386197224724081744923 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 9014647246206411846973 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 90818938277167037444443 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 82937075837375098131809 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 66734919556095676808939 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 62886131613962983092703 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 86275573143577882181053 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 47215859935086358999499 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 28800115716889952478059 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 3295025619823663458749 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 98011354435246881205513 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 81934337234464960041733 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 67623155292782960337403 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 59417445052577778723493 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 46970637206931057917233 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 40344334394830395276283 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 99497004987853608608489 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 99494937700848159362909 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 66064830184734958469909 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 64616594013446029407869 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 47937224844379133326079 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 41763408901004142204869 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 40555685172817996103939 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 39388174074542811110609 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 33670568199794280691873 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 24587439693296046770219 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 23775320957119051102799 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 22017941286485933862089 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 21226314724173879947563 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 21202316455836737914709 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 3 February 1999 Prime 15-tuplets 103722801660442868640677 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, TF) Prime 13-tuplets 101443936056277438627019 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 61820593241289392536963 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 39646974852695290283219 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 90001538105023525517473 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 79045592131651554455983 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 40527665456120875385369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 23054384266824273986639 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 20059225949170753482073 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 6654739411223701140359 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 1741452550679453218543 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) Prime quintuplet 3188356293605443904*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1, 5 (318 digits, 1999, TF) Prime quadruplets 3196482199746436544*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 3076826866759666964*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 2967016240860282554*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 2954384367173940644*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 2482606917219670184*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 2273643231681582704*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 2169905234752686374*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 2087466127622566634*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 1780369641021132104*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 1234248689157945404*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (318 digits, 1999, TF) 948918559593435374*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (317 digits, 1999, TF) 758222384629350584*(2^993 - 2^331) - 6*2^331 + d, d = -7, -5, -1, 1 (317 digits, 1999, TF) Prime triplets 12988084956406930*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1004 digits, 1998, TF) Prime twin 361700055 * 2^39020 +/- 1 (11755 digits, 1999, Henri Lifchitz) 16 January 1999 Prime 15-tuplet 57567391537968329290277 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1998, TF) Prime 13-tuplets 93905087431276481943599 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 81253283487021981498179 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 64813423029898483333409 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 11389177982519999648923 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1999, TF) 8268597091203295709879 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 7270595225507881720469 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 93096319488435306059 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1999, TF) 90399740971961603845679 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 73888683752680294454893 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 45515536853718129535273 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 8089301545259109462223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) Prime dodecuplet 244057739913 * 59# + 15840941 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (33 digits, 1999, Radek Naleczynski) Prime 11-tuplet 119376120854 * 59# + 15840941 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (33 digits, 1999, Radek Naleczynski) Prime decuplet 390868699256 * 101# + 258101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (50 digits, 1999, Radek Naleczynski) 31 December 1998 Prime 15-tuplet 58902304631602531145987 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1998, TF) Prime 13-tuplets 104106616297846503548143 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 95701347106909823562299 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 91092034365983339872199 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 41210407538551475467259 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 3789065609178941954879 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 20990407663459298207159 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 21814531978469398140989 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 28740725848056744515009 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 34851787302936211675003 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 40043412841397125637413 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 48320340267799416789989 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 48976799045044211133809 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 51742014126297172544803 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 54180143456252819128139 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 54770912895264793640429 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 59608186384772344315933 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 78702684367673380981903 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 85851382912970713375273 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 96493259559380051010659 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 100727415420281774311123 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) Prime septuplets 4293326603 * 233# + 399389 + d, d = 0, 2, 8, 12, 14, 18, 20 (104 digits, 1998, Radoslaw Naleczynski) 24246571753 * 211# + 5639 + d, d = 0, 2, 8, 12, 14, 18, 20 (95 digits, 1998, Radoslaw Naleczynski) 3992437889 * 211# + 5639 + d, d = 0, 2, 8, 12, 14, 18, 20 (94 digits, 1998, Radoslaw Naleczynski) 247261664 * 211# + 284729 + d, d = 0, 2, 8, 12, 14, 18, 20 (93 digits, 1998, Radoslaw Naleczynski) Prime quadruplets 3510160221387831655*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1031 digits, 1998, TF) Prime triplets 38103388341228790*(2^3423 - 2^1141) - 6*2^1141 + d, d = -7, -5, -1 (1048 digits, 1998, TF) 134849020248202840*(2^3423 - 2^1141) - 6*2^1141 + d, d = -5, -1, 1 (1048 digits, 1998, TF) 372778784413366975*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1998, TF) 486303007533985285*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1998, TF) 611849666377651345*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 938411260881734855*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1998, TF) 1037586628915066690*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1998, TF) 1207197619202405290*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1998, TF) 1316123335855198330*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 1489793339392949050*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1998, TF) 1543723352000179770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1998, TF) 1 December 1998 Prime 15-tuplets 38933863197923369368697 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1998, TF) 10757774226386118058067 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1998, TF) Prime quadruplet 331426625784936325*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1, 1 (1030 digits, 1998, TF) Prime triplets 785984303204820935*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 213524394719507515*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1998, TF) 1250030465956662810*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1998, TF) 1213887481893436770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1031 digits, 1998, TF) 689295685804075565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1031 digits, 1998, TF) 440437067978619010*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 1120135282898792580*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 1130012325289848420*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 1009293226156215420*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 659465355437799370*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 493620574586319395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 470654757841468660*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 411815546473171300*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1998, TF) 347202069200166395*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1998, TF) 332127635116928110*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1998, TF) 146273512644990190*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1998, TF) 552522756371196030*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1031 digits, 1998, TF) 13770801828945600*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1029 digits, 1998, TF) 426077934556624770*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1998, TF) 85747619680072565*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1998, TF) 260561730684495660*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1998, TF) 318271499149744560*(2^3363 - 2^1121) - 6*2^1121 + d, d = -7, -5, -1 (1030 digits, 1998, TF) 14 November 1998 Prime quadruplets 10^150 + 5356704061 + d, d = 0, 2, 6, 8 (151 digits, 1998, Lloyd Miller) 10^150 + 5653963981 + d, d = 0, 2, 6, 8 (151 digits, 1998, Lloyd Miller) Prime triplets 94712594614007790*(2^3363 - 2^1121) - 6*2^1121 + d, d = -5, -1, 1 (1030 digits, 1998, TF) 70300829095767485*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1030 digits, 1998, TF) 13017748499867410*(2^3363 - 2^1121) - 6*2^1121 + d, d = -1, 1, 5 (1029 digits, 1998, TF) 9 November 1998 Prime septuplets Septuplet: 4300308165 * 199# + 5639 + d, d = 0, 2, 8, 12, 14, 18, 20 (92 digits, 1998, Radoslaw Naleczynski) Prime triplets 75931391513007260*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1004 digits, 1998, TF) 37194207705845265*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1004 digits, 1998, TF) 36412801950104810*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1004 digits, 1998, TF) 20138970848036115*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1004 digits, 1998, TF) 19284878311949530*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1004 digits, 1998, TF) 1894528746070295*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1003 digits, 1998, TF) 98471742491252360*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1005 digits, 1998, TF) 34344713643960930*(2^3567 - 2^1189) - 6*2^1189 + d, d = -7, -5, -1 (1091 digits, 1998, TF) 16005022933519730*(2^3567 - 2^1189) - 6*2^1189 + d, d = -5, -1, 1 (1090 digits, 1998, TF) 17 October 1998 Prime 15-tuplets 70975022995751629041227 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1998, TF) 79431505274139320889527 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1998, TF) Prime 13-tuplets 363479343546098086243 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 690677476301066467229 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 1142889048997298239573 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 2296739829483746483773 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 3024092725355107222753 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 9328108048727233598849 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 9655758098677170877333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 10095933595935806746063 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 13953816549366886599343 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 14574956157823465757369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 19033993294733986862309 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 21628519037816242659043 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 24638271992183689963139 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 24884921785446100695253 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 25283281867622799273269 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 26631336212472552778153 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 28731489675204113300519 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 29358167988066531536939 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 31994315304825075519253 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 33858906259371737567039 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 35417967942570282346213 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 36298294138549521805663 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 48299137751635416048419 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 49774202625372243221219 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 52160563048271336091449 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 57188204801013850971343 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 57899604363884918922223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 62770750174017034005793 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 63843229739008133667269 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 67782124816714464673453 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 73534724046872244329189 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 73596667112768701068103 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 74045947558425779193193 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 82784801493099796046893 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 84945440517762146585279 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 85546364276844503425409 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 16 September 1998 Prime quadruplet 76912895956636885*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1, 1 (1004 digits, 1998, Tony Forbes) Prime triplets 98060682277448225*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1005 digits, 1998, TF) 103145591660041180*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1005 digits, 1998, TF) 98044777763652795*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1005 digits, 1998, TF) 12 September 1998 Prime triplets 50564688788654320*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1004 digits, 1998, TF) 27495488353823635*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1004 digits, 1998, TF) 29112852541713085*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1004 digits, 1998, TF) 10339641519687815*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1004 digits, 1998, TF) 12490747813894600*(2^3279 - 2^1093) - 6*2^1093 + d, d = -7, -5, -1 (1004 digits, 1998, TF) 1574316633880135*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1003 digits, 1998, TF) 3593040957586225*(2^3279 - 2^1093) - 6*2^1093 + d, d = -5, -1, 1 (1003 digits, 1998, TF) 12059446830181065*(2^3567 - 2^1189) - 6*2^1189 + d, d = -5, -1, 1 (1090 digits, 1998, TF) 20834081158360750*(2^3567 - 2^1189) - 6*2^1189 + d, d = -5, -1, 1 (1091 digits, 1998, TF) 2328276389289095*(2^3567 - 2^1189) - 6*2^1189 + d, d = -5, -1, 1 (1090 digits, 1998, TF) 23873826365759390*(2^3567 - 2^1189) - 6*2^1189 + d, d = -5, -1, 1 (1091 digits, 1998, TF) Prime twins 835335 * 2^39014 +/-1 (11751 digits, September 1998, Ray Ballinger & Yves Gallot) 27 August 1998 Prime 17-tuplets 53947453971035573715707 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (1998, TF) Prime 15-tuplets 53947453971035573715707 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1998, TF) Prime 13-tuplets 50779562481612242415073 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 33495570911651587105303 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 26024711977073677564633 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 23779588980539128713913 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 52901338129561494279643 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 21813885920919004265369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 67868311596670971923473 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 34747051670144206409953 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 2906994300130497623983 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 86989134828273445724893 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 65195198061419562229109 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 8097044039930453594923 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 10155388471707780724439 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 14603124338529297918283 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 17542611223126654701973 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 52698727646116080321809 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 31014377470987554807179 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 76028025322802045349793 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 45422772613833451373473 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 68860527298328762103043 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 26779953699739526639369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 67380640366842805745759 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 12687739576286360669099 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 100374505374044813818843 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 51262277371701079296629 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 40749111765780045194503 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 12443755514270472268813 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 10076512256654439158579 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 97188043313790153167459 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 43207022671472352686009 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 37187230324578519258089 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 5 June 1998 Prime 13-tuplets 74281246050128758347643 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 30413455320155199955679 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 59329977925595068474799 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 41819088306757075847549 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 60621893700139750825783 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 58825480651085194149119 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 54122297254743917372189 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 10556174722666232176453 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 8054305510244531050529 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 2878249595369942720863 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) Prime twins 8182815*2^17838 +/- 1 (5377 digits, 1998, Smith and Gallot) 18 May 1998 Prime 15-tuplet 9520009711966000440197 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1998, TF) Prime 13-tuplets 100223806523905045648603 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 87557122160105200906319 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 87276851893506179351383 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 47605381219954283452663 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 31881202385379672027719 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 6 May 1998 Prime 13-tuplets 42337209857575706906849 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 16523377780037804759099 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 11585136744201054441343 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 291197784180235785869 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 29347826099039487436333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 9904989236516059632883 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 62113497472857912464399 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 66253177560340304500903 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) Prime triplets: 10^699 + 483909841321 + d, d = 0, 2, 6 (700 digits, 1998, Warut Roonguthai & Preda Mihailescu) 10^699 + 457911901711 + d, d = 0, 2, 6 (700 digits, 1998, Warut Roonguthai & Preda Mihailescu) 10^699 + 299071452691 + d, d = 0, 2, 6 (700 digits, 1998, Warut Roonguthai & Preda Mihailescu) 10^699 + 134907294511 + d, d = 0, 2, 6 (700 digits, 1998, Warut Roonguthai & Preda Mihailescu) 10^699 + 122788875781 + d, d = 0, 2, 6 (700 digits, 1998, Warut Roonguthai & Preda Mihailescu) 10^699 + 109441155631 + d, d = 0, 2, 6 (700 digits, 1998, Warut Roonguthai & Preda Mihailescu) 10^699 + 77235191731 + d, d = 0, 2, 6 (700 digits, 1998, Warut Roonguthai & Preda Mihailescu) 10^699 + 76067269261 + d, d = 0, 2, 6 (700 digits, 1998, Warut Roonguthai & Preda Mihailescu) 26 April 1998 Prime 13-tuplets 29929740121540137571709 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 21534845232671498791079 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 61571742270035554159619 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 98012372430282028982279 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) Prime quadruplet 10^699 + 547634621251 + d, d = 0, 2, 6, 8 (700 digits, 1998, Warut Roonguthai) 2 April 1998 Prime 15-tuplet 41835525126794003998397 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1998, TF) Prime 13-tuplets 81792737403564165051089 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 76888703357016614976929 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 63247871833843834400279 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 24485933217100334922959 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 20 March 1998 Prime 13-tuplets 2650392617726493012389 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 20847376750440776929409 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 79073419855880107370729 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 2117053185750403163279 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1998, TF) 11 March 1998 Prime 13-tuplet 8280333150933660083203 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1998, TF) 16 January 1998 Prime triplet 2^3456 + 5661177712051 + d, d = 0, 2, 6 (1995-1998, 1041 digits, discovered 1995 by Tony Forbes, verified 1998 by Francois Morain) 25 November 1997 Prime twins 843753*2^22222+/-1 (6696 digits, 1997, Carlos Bernardo Rivera Fernández) 19 November 1997 Prime twins 594501*2^9999+/-1 (3016 digits, 1997, Carlos Bernardo Rivera Fernández) 11 October 1997 Prime 13-tuplet 14574956157823465757369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) Prime 11-tuplet 28961984187 * 53# + 495611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (30 digits, 1997, Warut Roonguthai) Prime decuplet 20151159755 * 53# + 495611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (30 digits, 1997, Warut Roonguthai) 6 October 1997 Prime 9-tuplet 74840399185 * 101# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 (50 digits, 1997, Warut Roonguthai) Prime octuplets 1519315291 * 103# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (50 digits, 1997, Warut Roonguthai) 71767051716 * 101# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (50 digits, 1997, Warut Roonguthai) 71597735749 * 101# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (50 digits, 1997, Warut Roonguthai) 61774359512 * 101# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (50 digits, 1997, Warut Roonguthai) 48411530929 * 101# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (50 digits, 1997, Warut Roonguthai) Prime septuplet 61502812817 * 173# + 5639 + d, d = 0, 2, 8, 12, 14, 18, 20 (80 digits, 1997, Warut Roonguthai) 22 September 1997 New section for prime 17-tuplets Prime 17-tuplet 3259125690557440336631 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (1997, TF) Prime 13-tuplets 4182216053497761362099 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) 2430365905660236440833 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 2918946209689300737883 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) Prime octuplet 234259608 * 131# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (60 digits, 1997, Warut Roonguthai) Prime sextuplets 45312642 * 233# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (102 digits, 1997, Warut Roonguthai) 44591421 * 233# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (102 digits, 1997, Warut Roonguthai) 70829491 * 229# + 43777 + d, d = 0, 4, 6, 10, 12, 16 (100 digits, 1997, Warut Roonguthai) 67331034 * 229# + 19417 + d, d = 0, 4, 6, 10, 12, 16 (100 digits, 1997, Warut Roonguthai) 15 September 1997 Prime quadruplet 10^599 + 1394283756151 + d, d = 0, 2, 6, 8 (1997, Warut Roonguthai) 5 September 1997 Prime 15-tuplets 3514383375461541232577 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1997, TF) 3493864509985912609487 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1997, TF) 3594585413466972694697 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1997, TF) 3083397564458058717887 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1997, TF) 25 August 1997 Prime 15-tuplet 2173238017577619099047 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1997, TF) Prime 13-tuplets 2555595428408182036813 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 1922799119741366399549 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) 3429700094607153504073 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 3903957410321938996963 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 2979425570961388822289 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) 1227699478426699675333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 3680657954161644102583 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 8 August 1997 Prime 15-tuplet 2958380122665046736597 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1997, TF) Prime 13-tuplets 238844284092825584189 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) 2153399923239798049753 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 14 July 1997 Prime 15-tuplet 944716030613719714367 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1997, TF) Prime 13-tuplet 766810765677389486069 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) 30 June 1997 Prime 16-tuplet 1522014304823128379267 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (1997, TF) Prime 13-tuplet 77898320136180410803 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) Prime 6-tuplet 77591797*199# + 179# + 167# + 89# + 97 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 26 June 1997 New URLs for NMBRTHRY archive Prime 15-tuplets 154241105508041368753 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58 1337707385720650557617 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1997, TF) 2296739829483746483773 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58 2088253704394088213987 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1997, TF) Prime 13-tuplets 154241105508041368753 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 330029437594659155369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) 2296739829483746483773 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 1508927062993749976513 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) Prime 6-tuplet 29964012*151# + 89# + 97 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) Prime quadruplet 10^250 + 4451442*541# + 271# + 199# + 103# + 9699751 + d, d = 0, 2, 6, 8 (1997, Chad Davis) 10 June 1997 Prime 15-tuplet 107862607835977274207 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1997, TF) Prime 13-tuplets 931358464275011279443 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) 2219484042857986311343 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (1997, TF) Prime dodecuplet 495064300630708278713578451 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (1997, A.O.L. Atkin) 30 May 1997 Prime 15-tuplets 176870147136208418909 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) Prime 6-tuplets 10^45 + 22172544387 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^30 + 5773122297 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 4560084057 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 4445040387 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 4348508007 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 3924538587 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 3584984757 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 2488334097 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 2111152677 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 1709888667 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 10^20 + 1523730387 + d, d = 0, 4, 6, 10, 12, 16 (1997, Chad Davis) 21 May 1997 New section for prime 16-tuplets Prime 16-tuplet 47710850533373130107 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (TF) Prime 15-tuplets 47710850533373130107 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (TF) 36351118555624575707 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (TF) Prime 13-tuplets 964013473328959309238999 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (1997, TF) 97345097498613421393 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 177500959430909981803 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 47710850533373130119 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 19472663925881531488139 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 12174201381397393691369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 130698981608282180646569 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 139282224732364554393569 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 9764423782840753469459 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 39349381006898645699 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 218986328257316623019 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 174440108603056794234673 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 71115968070730545699673 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 907828612711185922693 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 151812406391442290240683 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 10256055280228885063 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 139612956604436006678923 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 93232681653214764918193 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 3230812206903622694369 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 222013414519908504509 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 200091272968984964503 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 101204904439872215999 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 35388287597471495623 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 17642663596370075279 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) Prime dodecuplet 40293597000693392110871 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (A.O.L. Atkin) 5 May 1997 New layout Prime 15-tuplet 8985208997951457604337 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (TF) Prime 13-tuplets 237600689963370454477693 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 229719405891782686276333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 103461034013219729509679 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 156129421262349982433923 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 134739210741663401880943 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 131759162327508995726383 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 52421379232888613134123 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 17539313580973400859659 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 172515139575657135193 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 226918527762847675808069 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 189557904773852804095843 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 184022391393192867197699 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 137534418043810850755709 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 134063187116810801316403 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 217566915393744485481929 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 216630440009481892196819 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 107143925771665294054559 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 214211269787751089540623 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 22529698657210580598779 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 228447597916849643124809 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 5597385417267747119 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 60876102333325204902913 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 160159313479732482482503 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 215480372703622118679523 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 87680919986755859436689 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 68077497136127436570629 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 97345097498613421393 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 197735821672658107125223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (TF) 179928874459973153157659 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) 102372055732883681677949 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (TF) END