一秒钟能产生多少素数对

重生888@

一秒钟能产生多少素数对

一秒=铯原子的电子自旋翻转9192631770次
G（9192631770）=？
D（9192631770）=33275268                  33275268/4=8318817       （一种组合最大下限值）
D1（9192631770）=33275238*（7-1）/（7-2）=39930321              （我的计算值在0.985）
？=399330321/0.985=40538397

不过，电子多翻2次，素数对就丢了一大半：
G（9192631772）=？
D（9192631772）=8318817*1.5=12478225
？=12478225/0.985=12668249

ysr

9192631770的方根=95878，方根内能产生的素数对：
1与95878之间打头的素数有1715组偶数9192631770的哥猜素数和对:（用时78.88672秒）
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/36923/9192594847
/36947/9192594823
/37013/9192594757
/37039/9192594731
/37049/9192594721
/37087/9192594683
/37189/9192594581
/37199/9192594571
/37223/9192594547
/37357/9192594413
/37363/9192594407
/37369/9192594401
/37561/9192594209
/37649/9192594121
/37663/9192594107
/37693/9192594077
/37781/9192593989
/37831/9192593939
/37987/9192593783
/37991/9192593779
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/38167/9192593603
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/39161/9192592609
/39217/9192592553
/39233/9192592537
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/39419/9192592351
/39607/9192592163
/39619/9192592151
/39703/9192592067
/39709/9192592061
/39719/9192592051
/39761/9192592009
/39791/9192591979
/39821/9192591949
/39877/9192591893
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/39929/9192591841
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/40013/9192591757
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/40577/9192591193
/40591/9192591179
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/42179/9192589591
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/43403/9192588367
/43441/9192588329
/43499/9192588271
/43613/9192588157
/43721/9192588049
/43753/9192588017
/43759/9192588011
/43777/9192587993
/43853/9192587917
/43891/9192587879
/43913/9192587857
/43943/9192587827
/43987/9192587783
/44021/9192587749
/44059/9192587711
/44087/9192587683
/44089/9192587681
/44101/9192587669
/44111/9192587659
/44269/9192587501
/44449/9192587321
/44497/9192587273
/44519/9192587251
/44617/9192587153
/44621/9192587149
/44651/9192587119
/44657/9192587113
/44867/9192586903
/44887/9192586883
/44963/9192586807
/45053/9192586717
/45119/9192586651
/45179/9192586591
/45247/9192586523
/45307/9192586463
/45317/9192586453
/45403/9192586367
/45439/9192586331
/45491/9192586279
/45503/9192586267
/45641/9192586129
/45691/9192586079
/45841/9192585929
/45853/9192585917
/45971/9192585799
/46021/9192585749
/46091/9192585679
/46103/9192585667
/46133/9192585637
/46141/9192585629
/46271/9192585499
/46301/9192585469
/46451/9192585319
/46457/9192585313
/46471/9192585299
/46477/9192585293
/46549/9192585221
/46567/9192585203
/46601/9192585169
/46679/9192585091
/46703/9192585067
/46727/9192585043
/46751/9192585019
/46757/9192585013
/46831/9192584939

后面还有，显示不全了，超长了

愚工688

这与使用的软件的功能有关。
我筛选从9192631770起始的连续10个偶数的素对数量，用时5秒不到：

G(9192631770) = 41362721
G(9192631772) = 12732055
G(9192631774) = 12745262
G(9192631776) = 25349063
G(9192631778) = 14051759
G(9192631780) = 16925731
G(9192631782) = 27248444
G(9192631784) = 15180773
G(9192631786) = 13796034
G(9192631788) = 25297898

count = 10, algorithm = 2, working threads = 4, time use 4.468 sec

liugongqin

回答错误0分。人们运用数字来计算时间，而不是用时间来计算数字。

——你犯了一个不学无术不懂数学的错误。

白新岭

2 * 3^2 * 5 * 7^2 * 47 * 44351
2^2 * 223 * 431 * 23911
2 * 137 * 2857 * 11743
2^5 * 3 * 457 * 209533
2 * 11 * 5179 * 80681
2^2 * 5 * 571 * 829 * 971
2 * 3 * 17 * 163 * 307 * 1801
2^3 * 7 * 5857 * 28027
2 * 13 * 8861 * 39901
2^2 * 3^3 * 5237 * 16253
2 * 5 * 1787 * 514417
2^4 * 574539487
2 * 3 * 19^2 * 4244059
2^2 * 37 * 62112377
2 * 7 * 656616557
2^3 * 3 * 5^2 * 11 * 83 * 97 * 173

yangchuanju

三位大师，各显其能！比武刚刚开始，更精彩的节目还在后头！

yangchuanju

白新岭 发表于 2022-10-24 09:04
2 * 3^2 * 5 * 7^2 * 47 * 44351
2^2 * 223 * 431 * 23911
2 * 137 * 2857 * 11743

9192631770=2 * 3^2 * 5 * 7^2 * 47 * 44351
9192631772=2^2 * 223 * 431 * 23911
9192631774=2 * 137 * 2857 * 11743
9192631776=2^5 * 3 * 457 * 209533
9192631778=2 * 11 * 5179 * 80681
9192631780=2^2 * 5 * 571 * 829 * 971
9192631782=2 * 3 * 17 * 163 * 307 * 1801
9192631784=2^3 * 7 * 5857 * 28027
9192631786=2 * 13 * 8861 * 39901
9192631788=2^2 * 3^3 * 5237 * 16253
9192631790=2 * 5 * 1787 * 514417
9192631792=2^4 * 574539487
9192631794=2 * 3 * 19^2 * 4244059
9192631796=2^2 * 37 * 62112377
9192631798=2 * 7 * 656616557
9192631800=2^3 * 3 * 5^2 * 11 * 83 * 97 * 173

yangchuanju

39930321/41362721
12478225/12732055
G(9192631770) = 41362721
9192631770=2 * 3^2 * 5 * 7^2 * 47 * 44351
D（9192631770）=33275268    33275268/4=8318817  （一种组合最大下限值）
D1（9192631770）=33275238*（7-1）/（7-2）=39930321  （我的计算值在0.985）
39930321/41362721只等于0.965369783095266
不考虑素因子47的影响是不行的！

G(9192631772) = 12732055
9192631772=2^2 * 223 * 431 * 23911
D（9192631772）=8318817*1.5=12478225
12478225/12732055也不过等于0.98006370534843
素因子223和431虽较大，其影响仍然不小！

愚工688

我的素对计算值与相对误差：

Xi(M)=t2*c1*M/(logM)^2   
  相对误差动态修正系数 t2=1.358-log(M)^(0.5)*.05484;
  C1--类似拉曼扭杨系数，略作改进；（只计算√M内的素数）


  G(9192631770) = 41362721     ;Xi(M)≈ 41320889.05  δxi(M)≈?-0.001011;
  G(9192631772) = 12732055     ;Xi(M)≈ 12719046.97  δxi(M)≈?-0.001022;
  G(9192631774) = 12745262     ;Xi(M)≈ 12730889.81  δxi(M)≈?-0.001128;
  G(9192631776) = 25349063     ;Xi(M)≈ 25319083.94  δxi(M)≈?-0.001183;
  G(9192631778) = 14051759     ;Xi(M)≈ 14038196.89  δxi(M)≈?-0.000956;
  G(9192631780) = 16925731     ;Xi(M)≈ 16909807.66  δxi(M)≈?-0.000941;
  G(9192631782) = 27248444     ;Xi(M)≈ 27219200.05  δxi(M)≈?-0.001073;
  G(9192631784) = 15180773     ;Xi(M)≈ 15161265.97  δxi(M)≈?-0.001285;
  G(9192631786) = 13796034     ;Xi(M)≈ 13782024.85  δxi(M)≈?-0.001015;
  G(9192631788) = 25297898     ;Xi(M)≈ 25269940.31  δxi(M)≈?-0.001105;
  time start =15:36:08, time end =15:38:12

重生888@

yangchuanju 发表于 2022-10-24 15:45
39930321/41362721
12478225/12732055
G(9192631770) = 41362721

我把12478225自动除以0.985（计算底气）=12668249，     12668249/12732055=0.994988
可见我的计算还是可以的。
先生计算如何？