孪生素数的计算

独木星空 · 发表于 2010-8-29 23:12:27

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 · 发表于 2010-9-16 17:22:35

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

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[讨论] 孪生素数的计算