The Hardy-Littlewood constants k b H_k C_k G_k = C_k*H_k 2 0 2 2 2 0.66016182 1.3203236 3 0 2 6 4.5 9/2 0.63516635 2.8582486 3 0 4 6 4.5 9/2 0.63516635 2.8582486 4 0 2 6 8 13.5 27/2 0.30749488 4.1511809 5 0 2 6 8 12 24.71 15^4 / 2^11 0.40987489 10.131795 5 0 4 6 10 12 24.71 15^4 / 2^11 0.40987489 10.131795 6 0 4 6 10 12 16 92.70 15^5 / 2^13 0.18661430 17.298612 7 0 2 6 8 12 18 20 146.09 35^6 / (3*2^22) 0.36943751 53.971948 7 0 2 8 12 14 18 20 146.09 35^6 / (3*2^22) 0.36943751 53.971948 8 0 2 6 12 14 20 24 26 2045.29 5^6*7^7 / (3*2^21) 0.23241933 475.36521 8 0 2 6 8 12 18 20 26 766.98 5^6*7^7 / 2^24 0.23241933 178.26195 8 0 6 8 14 18 20 24 26 766.98 5^6*7^7 / 2^24 0.23241933 178.26195 9 0 2 6 8 12 18 20 26 30 5243.06 5^9*7^8 / 2^31 0.12017121 630.06436 9 0 4 10 12 18 22 24 28 30 5243.06 5^9*7^8 / 2^31 0.12017121 630.06436 9 0 2 6 12 14 20 24 26 30 10486.11 5^9*7^8 / 2^30 0.12017121 1260.1287 9 0 4 6 10 16 18 24 28 30 10486.11 5^9*7^8 / 2^30 0.12017121 1260.1287 10 0 2 6 8 12 18 20 26 30 32 40779.32 5^10*7^9 / (9*2^30) 0.041804051 1704.7409 10 0 2 6 12 14 20 24 26 30 32 40779.32 5^10*7^9 / (9*2^30) 0.041804051 1704.7409 11 0 2 6 8 12 18 20 26 30 32 36 32392.39 7^11*11^10 / (45*2^45) 0.094530829 3062.0793 11 0 4 6 10 16 18 24 28 30 34 36 32392.39 7^11*11^10 / (45*2^45) 0.094530829 3062.0793 12 0 2 6 8 12 18 20 26 30 32 36 42 280599.07 7^12*11^11 / (25*2^49) 0.035393260 9931.3156 12 0 6 10 12 16 22 24 30 34 36 40 42 280599.07 7^12*11^11 / (25*2^49) 0.035393260 9931.3156 13 0 2 6 8 12 18 20 26 30 32 36 42 48 231039.18 11*1001^12 / (25*2^80*3^13) 0.11170391 25807.980 13 0 6 12 16 18 22 28 30 36 40 42 46 48 231039.18 11*1001^12 / (25*2^80*3^13) 0.11170391 25807.980 13 0 2 8 14 18 20 24 30 32 38 42 44 48 269545.71 77*1001^12 / (25*2^81*3^14) 0.11170391 30109.310 13 0 4 6 10 16 18 24 28 30 34 40 46 48 269545.71 77*1001^12 / (25*2^81*3^14) 0.11170391 30109.310 13 0 2 12 14 18 20 24 30 32 38 42 44 48 224621.43 77*1001^12 / (2^82*3^15*5) 0.11170391 25091.092 13 0 4 6 10 16 18 24 28 30 34 36 46 48 224621.43 77*1001^12 / (2^82*3^15*5) 0.11170391 25091.092 14 0 2 6 8 12 18 20 26 30 32 36 42 48 50 811132.94 1001^13 / (2^83*3^17) 0.062844634 50975.353 14 0 2 8 14 18 20 24 30 32 38 42 44 48 50 811132.94 1001^13 / (2^83*3^17) 0.062844634 50975.353 15 0 2 6 8 12 18 20 26 30 32 36 42 48 50 56 6422604 1001^14 / (2^94*3^13*5) 0.029244162 187823.69 15 0 6 8 14 20 24 26 30 36 38 44 48 50 54 56 6422604 1001^14 / (2^94*3^13*5) 0.029244162 187823.69 15 0 2 6 12 14 20 24 26 30 36 42 44 50 54 56 22835927 1001^14 / (2^89*3^15*5) 0.029244162 667817.55 15 0 2 6 12 14 20 26 30 32 36 42 44 50 54 56 22835927 1001^14 / (2^89*3^15*5) 0.029244162 667817.55 16 0 2 6 12 14 20 26 30 32 36 42 44 50 54 56 60 81405851 77^15*13^14 / (2^91*3^18) 0.0092281012 751221.43 16 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 81405851 77^15*13^14 / (2^91*3^18) 0.0092281012 751221.43 17 0 4 10 12 16 22 24 30 36 40 42 46 52 54 60 64 66 106599740 5*7^16*11^16*13^16*17^16 / (2^172*3^18) 0.030074517 3205936 17 0 2 6 12 14 20 24 26 30 36 42 44 50 54 56 62 66 106599740 5*7^16*11^16*13^16*17^16 / (2^172*3^18) 0.030074517 3205936 17 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 86612289 5*7^16*11^16*13^17*17^16 / (2^176*3^18) 0.030074517 2604823 17 0 6 8 12 18 20 26 32 36 38 42 48 50 56 60 62 66 86612289 5*7^16*11^16*13^17*17^16 / (2^176*3^18) 0.030074517 2604823 18 0 4 10 12 16 22 24 30 36 40 42 46 52 54 60 64 66 70 621583086 7^19*11^16*13^16*17^17 / (2^175*3^18*5^2) 0.010816984 6723654 18 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 70 621583086 7^19*11^16*13^16*17^17 / (2^175*3^18*5^2) 0.010816984 6723654 19 0 6 10 16 18 22 28 30 36 42 46 48 52 58 60 66 70 72 76 350105007 7^19*11^18*13^19*17^18*19^18 / (2^211*3^58*5^2) 0.049410463 17298851 19 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 70 76 350105007 7^19*11^18*13^19*17^18*19^18 / (2^211*3^58*5^2) 0.049410463 17298851 19 0 4 6 10 16 22 24 30 34 36 42 46 52 60 64 66 70 72 76 1184970792 7^19*11^19*13^18*17^18*19^18 / (2^209*3^58*5^2) 0.049410463 58549956 19 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 1184970792 7^19*11^19*13^18*17^18*19^18 / (2^209*3^58*5^2) 0.049410463 58549956 20 0 2 6 8 12 20 26 30 36 38 42 48 50 56 62 66 68 72 78 80 5504833930 7^19*11^19*13^20*17^18*19^19 / (2^216*3^61*5) 0.028555501 157193291 20 0 2 8 12 14 18 24 30 32 38 42 44 50 54 60 68 72 74 78 80 5504833930 7^19*11^19*13^20*17^18*19^19 / (2^216*3^61*5) 0.028555501 157193291 21 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 52827910614 7^21*11^20*13^20*17^21*19^20 / (2^236*3^61*5^2) 0.014145746 747290230 21 0 2 8 12 14 18 24 30 32 38 42 44 50 54 60 68 72 74 78 80 84 52827910614 7^21*11^20*13^20*17^21*19^20 / (2^236*3^61*5^2) 0.014145746 747290230 22 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90 302097869890 7^19*11^23*13^21*17^22*19^20 / (2^238*3^69) 0.0050363393 1521467385 22 0 6 8 14 18 20 24 30 36 38 44 48 50 56 60 66 74 78 80 84 86 90 302097869890 7^19*11^23*13^21*17^22*19^20 / (2^238*3^69) 0.0050363393 1521467385 22 0 4 10 12 18 22 24 28 34 40 42 48 52 54 60 64 70 78 82 84 88 90 181258721934 7^19*11^23*13^21*17^22*19^20 / (2^238*3^68*5) 0.0050363393 912880431 22 0 2 6 8 12 20 26 30 36 38 42 48 50 56 62 66 68 72 78 80 86 90 181258721934 7^19*11^23*13^21*17^22*19^20 / (2^238*3^68*5) 0.0050363393 912880431 23 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90 94 150979052373 5^2*7^22*13^22*17^22*19^22*23^22 / (2^276*3^72*11) 0.028189528 4256028249 23 0 4 10 12 18 22 24 28 34 40 42 48 52 54 60 64 70 78 82 84 88 90 94 150979052373 5^2*7^22*13^22*17^22*19^22*23^22 / (2^276*3^72*11) 0.028189528 4256028249 24 0 4 6 10 12 16 24 30 34 40 42 46 52 60 66 70 72 76 82 84 90 94 96 100 941260029638 5^2*7^23*13^22*17^22*19^23*23^22 / (2^282*3^71*11) 0.017114509 16109203327 24 0 4 6 10 16 18 24 28 30 34 40 48 54 58 60 66 70 76 84 88 90 94 96 100 941260029638 5^2*7^23*13^22*17^22*19^23*23^22 / (2^282*3^71*11) 0.017114509 16109203327 24 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 70 76 84 88 94 96 100 1411890044457 5^2*7^23*13^22*17^22*19^23*23^22 / (2^283*3^70*11) 0.017114509 24163804990 24 0 4 6 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90 94 96 100 1411890044457 5^2*7^23*13^22*17^22*19^23*23^22 / (2^283*3^70*11) 0.017114509 24163804990