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2yi
本帖最后由 愚工688 于 2024-7-8 01:10 编辑
偶数素数对计算式 Xi(M)=t2*c1*M/(logM)^2
式中:动态修正系数 t2=1.358-log(M)^(0.5)*.05484; (范围:t2>1)
log(M)——自然对数;
C1--类似拉曼扭杨系数C(N),略作改进;(只计算√M内的素数)
G(2024070000) = 9394989 ;Xi(M)≈ 9392503.08 jd(m)≈ ? 0.99974;
G(2024070002) = 3221597 ;Xi(M)≈ 3222108.22 jd(m)≈ ? 1.00016;
G(2024070004) = 3579783 ;Xi(M)≈ 3578681.31 jd(m)≈ ? 0.99969;
G(2024070006) = 7712421 ;Xi(M)≈ 7711458.81 jd(m)≈ ? 0.99988;
G(2024070008) = 3212356 ;Xi(M)≈ 3213107.79 jd(m)≈ ? 1.00023;
G(2024070010) = 4286037 ;Xi(M)≈ 4284143.83 jd(m)≈ ? 0.99956;
G(2024070012) = 6794812 ;Xi(M)≈ 6793818.68 jd(m)≈ ? 0.99985;
G(2024070014) = 3428757 ;Xi(M)≈ 3428209.4 jd(m)≈ ? 0.99984;
G(2024070016) = 3228254 ;Xi(M)≈ 3227388.4 jd(m)≈ ? 0.99973;
G(2024070018) = 6427687 ;Xi(M)≈ 6426215.62 jd(m)≈ ? 0.99977;
time start =08:45:22, time end =08:45:52
2亿的偶数系列:
Xi(M)=t2*c1*M/(logM)^2
G(202407000) = 1194315 ;Xi(M)≈ 1193997.47 jd(m)≈ ? 0.99973;
G(202407002) = 489711 ;Xi(M)≈ 490149.55 jd(m)≈ ? 1.00090;
G(202407004) = 422709 ;Xi(M)≈ 422368.96 jd(m)≈ ? 0.99920;
G(202407006) = 833115 ;Xi(M)≈ 832866.35 jd(m)≈ ? 0.99970;
G(202407008) = 423664 ;Xi(M)≈ 423586.03 jd(m)≈ ? 0.99982;
G( 202407010 ) = ? ;Xi(M)≈ 594120.6899999999 jd(m)≈ ?
G( 202407012 ) = ? ;Xi(M)≈ 823618.78 jd(m)≈ ?
G( 202407014 ) = ? ;Xi(M)≈ 408540.44 jd(m)≈ ?
G( 202407016 ) = ? ;Xi(M)≈ 490149.59 jd(m)≈ ?
G( 202407018 ) = ? ;Xi(M)≈ 907684.4300000001 jd(m)≈ ?
time start =08:59:12, time end =08:59:19
素对真值:
G(202407000) = 1194315
G(202407002) = 489711
G(202407004) = 422709
G(202407006) = 833115
G(202407008) = 423664
G(202407010) = 594347
G(202407012) = 823771
G(202407014) = 408757
G(202407016) = 490896
G(202407018) = 906871
G(202407020) = 573801
G(202407022) = 408841
G(202407024) = 817752
G(202407026) = 408955
G(202407028) = 415753
G(202407030) = 1322463
G(202407032) = 437204
G(202407034) = 408902
G(202407036) = 894918
G(202407038) = 452355
G(202407040) = 605712
G(202407042) = 817536
G(202407044) = 494154
G(202407046) = 408972
G(202407048) = 817411
G(202407050) = 545910
G(202407052) = 419185
G(202407054) = 817724
G(202407056) = 408927
G(202407058) = 490787
G(202407060) = 1126165
G(202407062) = 495217
G(202407064) = 408240
G(202407066) = 904840
G(202407068) = 408558
G(202407070) = 545320
G(202407072) = 984240
G(202407074) = 413463
G(202407076) = 432648
G(202407078) = 837842
G(202407080) = 544523
G(202407082) = 409737
G(202407084) = 968132
G(202407086) = 490738
G(202407088) = 449968
G(202407090) = 1088925
G(202407092) = 408373
G(202407094) = 419855
G(202407096) = 819595
G(202407098) = 417271
G(202407100) = 710450
G(202407102) = 819071
G(202407104) = 408201
G(202407106) = 475262
G(202407108) = 817374
G(202407110) = 546229
G(202407112) = 408653
G(202407114) = 1150263
G(202407116) = 409642
G(202407118) = 409276
G(202407120) = 1103823
G(202407122) = 422499
G(202407124) = 424701
G(202407126) = 817551
G(202407128) = 546446
G(202407130) = 570797
G(202407132) = 818348
G(202407134) = 442781
G(202407136) = 408406
G(202407138) = 816477
G(202407140) = 595555
G(202407142) = 490064
G(202407144) = 818043
G(202407146) = 410015
G(202407148) = 409027
G(202407150) = 1231195
G(202407152) = 432324
G(202407154) = 413014
G(202407156) = 983712
G(202407158) = 408631
G(202407160) = 558921
G(202407162) = 818887
G(202407164) = 414062
G(202407166) = 445875
G(202407168) = 898397
G(202407170) = 665455
G(202407172) = 453560
G(202407174) = 816621
G(202407176) = 428293
G(202407178) = 408721
G(202407180) = 1090088
G(202407182) = 433324
G(202407184) = 513628
G(202407186) = 818092
G(202407188) = 409938
G(202407190) = 579861
G(202407192) = 943117
G(202407194) = 453830
G(202407196) = 408193
G(202407198) = 983488
count = 100, algorithm = 2, working threads = 2, time use 0.080 sec
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