孪生素数的计算

独木星空

最密4生素数群的组数公式=2.38128115124*{2C2∫dt/[LN(t)]^2}^2/n,积分范围是[2,n], C2=0.66016181....即孪生素数常数

独木星空

10^n ││ 5生素数数量 ││ 6生素数数量 ││ 7生素数数量 8 ││ 681 ││ 70 ││ 13 9 ││ 3585 ││ 319 ││ 52 10 ││ 20372 ││ 1611 ││ 234 11 ││ 122828 ││ 8753 ││ 1145 12 ││ 776669 ││ 50400 ││ 5995 13 ││ 5107218 ││ 304356 ││ 33222 14 ││ 34706119 ││ 1912615 ││ 192970 15 ││ 242545119 ││ 12433000 ││ 1166417 16 ││ 1736514735 ││ 83213875 ││ 7296237 17 ││ 12697644704 ││ 571290926 ││ 47021237 18 ││ 94586697962 ││ 4010801182 ││ 311077956 19 ││ 7.16292E+11 ││ 28722154081 ││ 2106339586 20 ││ 5.50479E+12 ││ 2.0936E+11 ││ 14560885311 21 ││ 4.28683E+13 ││ 1.55053E+12 ││ 1.02549E+11 22 ││ 3.37851E+14 ││ 1.16497E+13 ││ 7.34476E+11 23 ││ 2.69172E+15 ││ 8.86781E+13 ││ 5.34138E+12 24 ││ 2.16591E+16 ││ 6.83113E+14 ││ 3.93891E+13 25 ││ 1.7587E+17 ││ 5.31996E+15 ││ 2.94196E+14 26 ││ 1.44003E+18 ││ 4.18486E+16 ││ 2.22325E+15 27 ││ 1.18821E+19 ││ 3.32256E+17 ││ 1.69838E+16 28 ││ 9.87449E+19 ││ 2.66064E+18 ││ 1.31047E+17 29 ││ 8.26057E+20 ││ 2.14759E+19 ││ 1.02059E+18 30 ││ 6.95314E+21 ││ 1.74635E+20 ││ 8.01737E+18 31 ││ 5.88639E+22 ││ 1.42992E+21 ││ 6.34912E+19 32 ││ 5.01017E+23 ││ 1.1784E+22 ││ 5.06605E+20 33 ││ 4.28592E+24 ││ 9.77027E+22 ││ 4.07094E+21 34 ││ 3.68377E+25 ││ 8.14681E+23 ││ 3.29309E+22 35 ││ 3.18036E+26 ││ 6.82956E+24 ││ 2.68055E+23 36 ││ 2.7573E+27 ││ 5.75423E+25 ││ 2.19483E+24 37 ││ 2.40001E+28 ││ 4.87137E+26 ││ 1.80715E+25 38 ││ 2.09688E+29 ││ 4.14258E+27 ││ 1.49579E+26 39 ││ 1.83855E+30 ││ 3.53788E+28 ││ 1.24425E+27 40 ││ 1.61749E+31 ││ 3.03371E+29 ││ 1.03992E+28 41 ││ 1.42758E+32 ││ 2.6114E+30 ││ 8.73049E+28 42 ││ 1.26381E+33 ││ 2.25612E+31 ││ 7.36092E+29 43 ││ 1.12208E+34 ││ 1.95598E+32 ││ 6.23148E+30 44 ││ 9.98998E+34 ││ 1.70141E+33 ││ 5.29582E+31 45 ││ 8.91771E+35 ││ 1.48466E+34 ││ 4.51733E+32 46 ││ 7.98064E+36 ││ 1.29946E+35 ││ 3.86693E+33 47 ││ 7.1593E+37 ││ 1.14066E+36 ││ 3.32138E+34 48 ││ 6.43734E+38 ││ 1.00405E+37 ││ 2.86204E+35 49 ││ 5.80101E+39 ││ 8.86148E+37 ││ 2.47389E+36 50 ││ 5.2387E+40 ││ 7.84089E+38 ││ 2.14475E+37 51 ││ 4.74055E+41 ││ 6.95484E+39 ││ 1.86472E+38 52 ││ 4.29818E+42 ││ 6.18344E+40 ││ 1.62571E+39 53 ││ 3.90444E+43 ││ 5.51004E+41 ││ 1.42107E+40 54 ││ 3.5532E+44 ││ 4.92067E+42 ││ 1.24535E+41 55 ││ 3.2392E+45 ││ 4.40355E+43 ││ 1.09403E+42 56 ││ 2.95793E+46 ││ 3.94874E+44 ││ 9.63366E+42 57 ││ 2.70546E+47 ││ 3.5478E+45 ││ 8.50235E+43 58 ││ 2.47841E+48 ││ 3.19357E+46 ││ 7.52035E+44 59 ││ 2.27385E+49 ││ 2.87992E+47 ││ 6.66585E+45 60 ││ 2.08923E+50 ││ 2.60163E+48 ││ 5.92054E+46 61 ││ 1.9223E+51 ││ 2.35421E+49 ││ 5.26897E+47 62 ││ 1.77113E+52 ││ 2.13381E+50 ││ 4.69807E+48 63 ││ 1.634E+53 ││ 1.93712E+51 ││ 4.19678E+49 64 ││ 1.50941E+54 ││ 1.76126E+52 ││ 3.7557E+50 65 ││ 1.39606E+55 ││ 1.60374E+53 ││ 3.36682E+51 66 ││ 1.29277E+56 ││ 1.46242E+54 ││ 3.02328E+52

18081195193

运算时间太长了，要是1百小时就好了

nyy

计算孪生素数干什么？得到通项公式？