今天2022.09.10教师节，计算一下从20220910开始的连续50个偶数的素对数量

重生888@ · 发表于 2022-9-24 18:38

愚工688 发表于 2022-9-24 17:13
今天是2022-09-20日，以今天日期的10倍开始的连续偶数的素对数量的计算如下：

根据我的计算：
D（202209240）=5/3*（W）=1079580
如果我的正确率是0.988... 1079580/0.988=1092693 真值应不少于1092693.

重生888@ · 发表于 2022-9-25 06:02

1079580/4=269895 一种组合最大下限值是269895.
D（202209242）=269895*1.5=404842
D（202209246）=269895*3=809685
D（202209250）=269895*2=539790
与愚工先生计算值对比，上述3个偶数，正确率在0.95以上、

愚工688 · 发表于 2022-9-25 10:40

重生888@ 发表于 2022-9-24 22:02
1079580/4=269895 一种组合最大下限值是269895.
D（202209242）=269895*1.5=404842
D（ ...

我的计算值的相对误差如下：

   Xi(M)=t2*c1*M/(logM)^2
式中：t2=1.358-(log(M))^(.5)*0.05484;c1:只计算√M内素数的类似拉曼扭杨系数。

  G(202209240) = 1089451  ;Xi(M)≈ 1088444.56 δxi(M)≈? -0.0009234；
  G(202209242) = 415650 ;Xi(M)≈ 415305.8       δxi(M)≈? -0.0008276；
  G(202209244) = 408452 ;Xi(M)≈ 408166.71    δxi(M)≈? -0.0006985；
  G(202209246) = 825528 ;Xi(M)≈ 825716.6       δxi(M)≈?  0.0002289；
  G(202209248) = 437398 ;Xi(M)≈ 437621.29    δxi(M)≈?  0.0005098；
  G(202209250) = 544071 ;Xi(M)≈ 544222.31    δxi(M)≈?  0.0002775；
  G(202209252) = 980095 ;Xi(M)≈ 979600.16    δxi(M)≈? -0.0005051；
  G(202209254) = 475172 ;Xi(M)≈ 475258.07    δxi(M)≈?  0.0001810；
  G(202209256) = 407795 ;Xi(M)≈ 408166.73    δxi(M)≈?  0.0009122；
  G(202209258) = 816637 ;Xi(M)≈ 816333.48    δxi(M)≈? -0.0003723；
  G(202209260) = 608753 ;Xi(M)≈ 609261.49    δxi(M)≈?  0.0008345；
  G(202209262) = 409546 ;Xi(M)≈ 409569.38    δxi(M)≈?  0.0005616；
  G(202209264) = 821214 ;Xi(M)≈ 820418.35    δxi(M)≈? -0.0009693；
  G(202209266) = 498081 ;Xi(M)≈ 498101.79    δxi(M)≈?  0.0000422；
  G(202209268) = 411706 ;Xi(M)≈ 411535.53    δxi(M)≈? -0.0004129；
  G(202209270) = 1103799  ;Xi(M)≈ 1103774.81 δxi(M)≈? -0.0000217；
  G(202209272) = 411888 ;Xi(M)≈ 412289.62    δxi(M)≈?  0.0009750；
  G(202209274) = 408156 ;Xi(M)≈ 408251.13    δxi(M)≈?  0.0002328；
  G(202209276) = 815746 ;Xi(M)≈ 816333.48    δxi(M)≈?  0.0007196；
  G(202209278) = 416733 ;Xi(M)≈ 416640.66    δxi(M)≈? -0.0002208；
  time start =17:10:13, time end =17:10:27

时空伴随者 · 发表于 2022-9-25 10:43

2022-09-25 10:44:26
2022092500 [2, 2, 5, 5, 5, 5, 808837]
2022092502 [2, 3, 337015417]
2022092504 [2, 2, 2, 397, 631, 1009]
2022092506 [2, 7, 7, 17, 1213741]
2022092508 [2, 2, 3, 173, 974033]
2022092510 [2, 5, 202209251]
2022092512 [2, 2, 2, 2, 2, 11, 29, 113, 1753]
2022092514 [2, 3, 3, 13, 8641421]
2022092516 [2, 2, 271, 1865399]
2022092518 [2, 19, 23, 101, 22907]
2022092520 [2, 2, 2, 3, 5, 7, 2407253]
2022092522 [2, 1011046261]
2022092524 [2, 2, 8783, 57557]
2022092526 [2, 3, 337015421]
2022092528 [2, 2, 2, 2, 5003, 25261]
2022092530 [2, 5, 41, 431, 11443]
2022092532 [2, 2, 3, 3, 3, 79, 347, 683]
2022092534 [2, 7, 11, 1409, 9319]
2022092536 [2, 2, 2, 4201, 60167]
2022092538 [2, 3, 61, 5524843]
2022092540 [2, 2, 5, 13, 17, 17, 17, 1583]
2022092542 [2, 181, 1021, 5471]
2022092544 [2, 2, 2, 2, 2, 2, 2, 2, 3, 43, 61231]
2022092546 [2, 1011046273]
2022092548 [2, 2, 7, 72217591]
2022092550 [2, 3, 3, 5, 5, 37, 121447]
2022092552 [2, 2, 2, 31, 191, 42689]
2022092554 [2, 73, 953, 14533]
2022092556 [2, 2, 3, 11, 19, 806257]
2022092558 [2, 1011046279]
2022092560 [2, 2, 2, 2, 5, 25276157]
2022092562 [2, 3, 7, 47, 67, 15289]
2022092564 [2, 2, 23, 21979267]
2022092566 [2, 13, 77772791]
2022092568 [2, 2, 2, 3, 3, 28084619]
2022092570 [2, 5, 29, 53, 131561]
2022092572 [2, 2, 109, 4637827]
2022092574 [2, 3, 17, 19824437]
2022092576 [2, 2, 2, 2, 2, 7, 9027199]
2022092578 [2, 11, 571, 160969]
2022092580 [2, 2, 3, 5, 33701543]
2022092582 [2, 1011046291]
2022092584 [2, 2, 2, 252761573]
2022092586 [2, 3, 3, 3, 3, 3527, 3539]
2022092588 [2, 2, 163, 3101369]
2022092590 [2, 5, 7, 28887037]
2022092592 [2, 2, 2, 2, 3, 13, 719, 4507]
2022092594 [2, 19, 53212963]
2022092596 [2, 2, 2003, 252383]
2022092598 [2, 3, 461, 731053]
用时 0.0 秒（少于千分之一秒）

重生888@ · 发表于 2022-9-25 15:32

最大下限值的准确度：
G（202209252）=980095
D（202209252）=809685
D1=809685*（7-1）/（7-2）=971622 D1/G=0.991354

愚工688 · 发表于 2022-9-28 14:59

时空伴随者发表于 2022-9-25 02:43
2022-09-25 10:44:26
2022092500 [2, 2, 5, 5, 5, 5, 808837]
2022092502 [2, 3, 337015417]

2022092500:50:2

G(2022092500) = 4280427
G(2022092502) = 6420658
G(2022092504) = 3227954
G(2022092506) = 4108685
G(2022092508) = 6460074
G(2022092510) = 4280390
G(2022092512) = 3735899
G(2022092514) = 7005374
G(2022092516) = 3223991
G(2022092518) = 3597383
G(2022092520) = 10273699
G(2022092522) = 3210112
G(2022092524) = 3211931
G(2022092526) = 6423277
G(2022092528) = 3211080
G(2022092530) = 4403840
G(2022092532) = 6531069
G(2022092534) = 4283640
G(2022092536) = 3211761
G(2022092538) = 6531697
G(2022092540) = 4983857
G(2022092542) = 3231207
G(2022092544) = 6578931
G(2022092546) = 3210700
G(2022092548) = 3852125
G(2022092550) = 8809122
G(2022092552) = 3338776
G(2022092554) = 3258922
G(2022092556) = 7554461
G(2022092558) = 3209483
G(2022092560) = 4284787
G(2022092562) = 8000174
G(2022092564) = 3363707
G(2022092566) = 3503308
G(2022092568) = 6422987
G(2022092570) = 4527799
G(2022092572) = 3241293
G(2022092574) = 6848823
G(2022092576) = 3854947
G(2022092578) = 3574463
G(2022092580) = 8564682
G(2022092582) = 3209755
G(2022092584) = 3211066
G(2022092586) = 6425186
G(2022092588) = 3230477
G(2022092590) = 5137296
G(2022092592) = 7017461
G(2022092594) = 3398471
G(2022092596) = 3211105
G(2022092598) = 6436097

count = 50, algorithm = 2, working threads = 2, time use 0.753 sec

这些偶数的素对筛选用时0.753秒。

愚工688 · 发表于 2022-9-28 15:33

计算素对数量就比较慢了，20个偶数用了1分17秒。

   素对计算式： Xi(M)=t2*c1*M/(logM)^2
         式中：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(2022092500) = 4280427  ;Xi(M)≈ 4281088.87 infS(m)= 3210816.65       jd(M) ≈? 1.00015;
  G(2022092502) = 6420658  ;Xi(M)≈ 6421633.17 infS(m)= 3210816.58       jd(M) ≈? 1.00015;
  G(2022092504) = 3227954  ;Xi(M)≈ 3227264.41 infS(m)= 3210816.55       jd(M) ≈? 1.00028;
  G(2022092506) = 4108685  ;Xi(M)≈ 4109845.37 infS(m)= 3210816.7       jd(M) ≈? 1.00028;
  G(2022092508) = 6460074  ;Xi(M)≈ 6459186.87 infS(m)= 3210816.73       jd(M) ≈? 0.99986;
  G(2022092510) = 4280390  ;Xi(M)≈ 4281088.89 infS(m)= 3210816.67       jd(M) ≈? 1.00016;
  G(2022092512) = 3735899  ;Xi(M)≈ 3735168.91 infS(m)= 3210816.52       jd(M) ≈? 0.99980;
  G(2022092514) = 7005374  ;Xi(M)≈ 7005417.93 infS(m)= 3210816.55       jd(M) ≈? 1.000006;
  G(2022092516) = 3223991  ;Xi(M)≈ 3222752.78 infS(m)= 3210816.66       jd(M) ≈? 0.99962;
  G(2022092518) = 3597383  ;Xi(M)≈ 3597710.74 infS(m)= 3210816.66       jd(M) ≈? 1.00009;
  G(2022092520) = 10273699 ;Xi(M)≈ 10274612.92  infS(m)= 3210816.54       jd(M) ≈? 1.00009;
  G(2022092522) = 3210112  ;Xi(M)≈ 3210816.61 infS(m)= 3210816.61       jd(M) ≈? 1.00022;
  G(2022092524) = 3211931  ;Xi(M)≈ 3211182.18 infS(m)= 3210816.53       jd(M) ≈? 0.99977;
  G(2022092526) = 6423277  ;Xi(M)≈ 6421633.24 infS(m)= 3210816.62       jd(M) ≈? 0.99974;
  G(2022092528) = 3211080  ;Xi(M)≈ 3211585.72 infS(m)= 3210816.54       jd(M) ≈? 1.00016;
  G(2022092530) = 4403840  ;Xi(M)≈ 4401480.07 infS(m)= 3210816.58       jd(M) ≈? 0.99946;
  G(2022092532) = 6531069  ;Xi(M)≈ 6533466.38 infS(m)= 3210816.76       jd(M) ≈? 1.00037;
  G(2022092534) = 4283640  ;Xi(M)≈ 4284591.46 infS(m)= 3210816.7       jd(M) ≈? 1.00022;
  G(2022092536) = 3211761  ;Xi(M)≈ 3211581.38 infS(m)= 3210816.72       jd(M) ≈? 0.99994;
  G(2022092538) = 6531697  ;Xi(M)≈ 6530474.68 infS(m)= 3210816.72       jd(M) ≈? 0.99981;
  time start =15:05:15, time end =15:06:32

重生888@ · 发表于 2022-9-28 18:16

愚工688 发表于 2022-9-28 15:33
计算素对数量就比较慢了，20个偶数用了1分17秒。

素对计算式： Xi(M)=t2*c1*M/(logM)^2

一眼看出偶数2022092520的小素数多！我还能判断他有7的因子：4280427/2=2140213
2140213*4*1.2=10273024 这正好与2022092520素数对吻合！

时空伴随者 · 发表于 2022-9-29 09:52

2022-09-29 09:53:31
20220929202209292022092900 [2, 2, 3, 5, 5, 7, 13, 37, 229, 9901, 88301, 99990001]
20220929202209292022092902 [2, 11, 29, 47, 521, 1294329497220858667]
20220929202209292022092904 [2, 2, 2, 173, 2029, 235337, 354791, 86242267]
20220929202209292022092906 [2, 3, 337, 341321, 15531839, 1886401217]
20220929202209292022092908 [2, 2, 2917, 205357, 8439081419723483]
20220929202209292022092910 [2, 5, 26117869, 77421818764039639]
20220929202209292022092912 [2, 2, 2, 2, 3, 3, 5443, 25439, 39563, 113453, 225941]
20220929202209292022092914 [2, 7, 17, 17, 41, 43, 431, 1277, 5150563554839]
20220929202209292022092916 [2, 2, 677357, 7463172744287462897]
20220929202209292022092918 [2, 3, 67, 10163, 4949406564101976593]
20220929202209292022092920 [2, 2, 2, 5, 505523230055232300552323]
20220929202209292022092922 [2, 191, 338231, 156503601501019541]
20220929202209292022092924 [2, 2, 3, 11, 79, 157, 2925731, 4221492678199]
20220929202209292022092926 [2, 13, 8993191, 24413681, 3542261981]
20220929202209292022092928 [2, 2, 2, 2, 2, 2, 2, 7, 316729307, 71253277934749]
20220929202209292022092930 [2, 3, 3, 3, 5, 45242934859, 1655337581701]
20220929202209292022092932 [2, 2, 19, 71, 8467, 442587972732258751]
20220929202209292022092934 [2, 457, 829, 26687038511255410439]
20220929202209292022092936 [2, 2, 2, 3, 257, 34069051171, 96226946537]
20220929202209292022092938 [2, 1321, 7653644663970208940989]
20220929202209292022092940 [2, 2, 5, 23, 43958541743933243526289]
20220929202209292022092942 [2, 3, 7, 7, 31, 109552843, 20252023934921]
20220929202209292022092944 [2, 2, 2, 2, 5101, 6229, 24001, 756739, 2189939]
20220929202209292022092946 [2, 11, 34583, 2734393, 9719744066597]
20220929202209292022092948 [2, 2, 3, 3, 17, 33040733990538058859629]
20220929202209292022092950 [2, 5, 5, 210359, 966776123, 1988584687]
20220929202209292022092952 [2, 2, 2, 13, 13, 13, 607, 1895362892094252761]
20220929202209292022092954 [2, 3, 59, 42548957537, 1342483394173]
20220929202209292022092956 [2, 2, 7, 17046922481, 42364012844017]
20220929202209292022092958 [2, 139, 181, 401862737036632855481]
20220929202209292022092960 [2, 2, 2, 2, 2, 3, 5, 29, 14558491, 99780462132293]
20220929202209292022092962 [2, 157793, 919421, 69689758700677]
20220929202209292022092964 [2, 2, 251, 1301, 25041739, 618195179869]
20220929202209292022092966 [2, 3, 3, 101, 193, 2205989, 26124415244531]
20220929202209292022092968 [2, 2, 2, 11, 90731, 1387109, 1825795571609]
20220929202209292022092970 [2, 5, 7, 19, 15203706167074655655709]
20220929202209292022092972 [2, 2, 3, 3257, 517371026563537304833]
20220929202209292022092974 [2, 37, 10007, 20352613, 1341668781161]
20220929202209292022092976 [2, 2, 2, 2, 2309, 92893, 3840911, 1534051573]
20220929202209292022092978 [2, 3, 13, 2261093, 114653701585740307]
20220929202209292022092980 [2, 2, 5, 491, 2059157759899113240539]
20220929202209292022092982 [2, 17, 109, 2699, 5297, 381647864072149]
20220929202209292022092984 [2, 2, 2, 3, 3, 3, 3, 3, 7, 113, 7451, 18558973, 95095477]
20220929202209292022092986 [2, 23, 439585417439332435262891]
20220929202209292022092988 [2, 2, 123457, 155893, 630493, 416599279]
20220929202209292022092990 [2, 3, 5, 11, 7883, 530843, 592589, 24710183]
20220929202209292022092992 [2, 2, 2, 2, 2, 2, 315952018784520187845203]
20220929202209292022092994 [2, 22853, 442413013657053603949]
20220929202209292022092996 [2, 2, 3, 41, 47, 874456374425241827629]
20220929202209292022092998 [2, 7, 103, 14022835785165944536819]
用时 0.9360017776489258 秒

liugongqin · 发表于 2022-9-29 09:53

回答错误0分。你不是搞数学研究，你是搞数字游戏。毫无意义。下课！

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今天2022.09.10教师节，计算一下从20220910开始的连续50个偶数的素对数量

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