孪生素数对总个数及其分布规律

ysr · 发表于 2020-1-24 01:03

lusishun 发表于 2020-1-23 09:40
没有根据保证6n-1，与6n+1同是素数。

这已经是简述版证明，连乘积公式就是筛选掉了半对子，方根内的素数因子全部筛选掉了，当然也有合数对子，都筛选掉了，剩下的就是素数对，对应项差为2，都是孪生素数对，这个也有疑问？

lusishun · 发表于 2020-1-24 05:18

ysr 发表于 2020-1-23 17:03
这已经是简述版证明，连乘积公式就是筛选掉了半对子，方根内的素数因子全部筛选掉了，当然也有合数对子， ...

如何把筛干净了合数，如何保证剩下的都是素数对，这是关键部位，您如果感到这两点，没有问题，那就完美无缺了，祝贺

ysr · 发表于 2020-1-24 13:24

lusishun 发表于 2020-1-23 21:18
如何把筛干净了合数，如何保证剩下的都是素数对，这是关键部位，您如果感到这两点，没有问题，那就完美无 ...

就是这个简单的道理，是严密的逻辑，没有问题，数值比实际小一点而已。

ysr · 发表于 2020-1-24 13:25

lusishun 发表于 2020-1-23 21:18
如何把筛干净了合数，如何保证剩下的都是素数对，这是关键部位，您如果感到这两点，没有问题，那就完美无 ...

就是这个简单的道理，是严密的逻辑，没有问题，数值比实际小一点而已。

ysr · 发表于 2020-1-24 13:25

lusishun 发表于 2020-1-23 21:18
如何把筛干净了合数，如何保证剩下的都是素数对，这是关键部位，您如果感到这两点，没有问题，那就完美无 ...

就是这个简单的道理，是严密的逻辑，没有问题，数值比实际小一点而已。

lusishun · 发表于 2020-1-24 14:25

ysr 发表于 2020-1-24 05:25
就是这个简单的道理，是严密的逻辑，没有问题，数值比实际小一点而已。

那就好，努力吧，争取吧！

万和永 · 发表于 2020-1-24 21:30

看一看这个计算结果如何？

区间值密度值计算值双素对大双素值误差率
N             md    N*md             P+2 %
15000 1.806087 270.9 272          14869 -0.400
60000 1.341154 804.7 811          59671 -0.778
135000 1.144279 1544.8 1562 134923 -1.103
240000 1.029030 2469.7 2503 239851 -1.331
375000 0.950956 3566.1 3607 374989 -1.134
540000 0.893531 4825.1 4876 539899 -1.045
735000 0.849007 6240.2 6303 734959 -0.996
960000 0.812873 7803.6 7890 959869 -1.095
1215000 0.783058 9514.2 9682 1214959 -1.734
1500000 0.757732 11366.0 11596 1499683 -1.984
1815000 0.735729 13353.5 13688 1814929 -2.444
2160000 0.716648 15479.6 15882 2159959 -2.534
2535000 0.699720 17737.9 18138 2534953 -2.206
2940000 0.684631 20128.2 20556 2939749 -2.081
3375000 0.670967 22645.1 23172 3374911 -2.274
3840000 0.658599 25290.2 25938 3839713 -2.498
4335000 0.647217 28056.8 28778 4334581 -2.506
4860000 0.636824 30949.6 31689 4859863 -2.333
5415000 0.627256 33965.9 34698 5414881 -2.110
6000000 0.618374 37102.5 37916 5999923 -2.146
6615000 0.610064 40355.7 41232 6614893 -2.125
7260000 0.602299 43726.9 44630 7259899 -2.023
7935000 0.595017 47214.6 48267 7934959 -2.180
8640000 0.588170 50817.9 51998 8639923 -2.269
9375000 0.581733 54537.5 55786 9374863 -2.238
10140000 0.575650 58370.9 59714 10139281 -2.249
10935000 0.569895 62318.1 63742 10934509 -2.234
11760000 0.564429 66376.9 67823 11759809 -2.132
12615000 0.559245 70548.7 72026 12614209 -2.051
13500000 0.554292 74829.4 76353 13499881 -1.995
14415000 0.549556 79218.5 80856 14414839 -2.025
15360000 0.545038 83717.9 85421 15359629 -1.994
16335000 0.540709 88324.9 90085 16334959 -1.954
17340000 0.536554 93038.5 94938 17339899 -2.001
18375000 0.532576 97860.8 99831 18374833 -1.974
19440000 0.528745 102788.1 104875 19439803 -1.990
20535000 0.525061 107821.4 109925 20534869 -1.914
21660000 0.521530 112963.3 115152 21659779 -1.901
22815000 0.518115 118207.8 120443 22814923 -1.856
24000000 0.514817 123556.1 125919 23999749 -1.877
25215000 0.511640 129009.9 131460 25214089 -1.864
26460000 0.508568 134567.0 137105 26459971 -1.851
27735000 0.505601 140228.5 142737 27734923 -1.757
29040000 0.502722 145990.3 148629 29039863 -1.775
30375000 0.499928 151853.1 154591 30374503 -1.771
31740000 0.497220 157817.6 160642 31739989 -1.758
33135000 0.494587 163881.4 166733 33134839 -1.710
34560000 0.492029 170045.2 173007 34559971 -1.712
36015000 0.489540 176307.8 179329 36014983 -1.685
37500000 0.487123 182671.3 185923 37499899 -1.749
39015000 0.484770 189133.1 192465 39014851 -1.731
40560000 0.482482 195694.9 199138 40559713 -1.729
42135000 0.480256 202355.8 205829 42134821 -1.687
43740000 0.478089 209116.3 212669 43739779 -1.671
45375000 0.475978 215975.2 219571 45374713 -1.638
47040000 0.473922 222933.1 226648 47039851 -1.639
48735000 0.471920 229990.3 233758 48734893 -1.612
50460000 0.469962 237142.9 240953 50459881 -1.581
52215000 0.468050 244392.2 248219 52214959 -1.542
54000000 0.466179 251736.8 255705 53999821 -1.552
55815000 0.464347 259175.4 263245 55814701 -1.546
57660000 0.462556 266709.8 270942 57659941 -1.562
59535000 0.460802 274338.7 278660 59534263 -1.551
61440000 0.459088 282063.5 286468 61439929 -1.538
63375000 0.457411 289884.3 294330 63374953 -1.510
65340000 0.455767 297798.2 302349 65339761 -1.505
67335000 0.454159 305808.3 310475 67334749 -1.503
69360000 0.452588 313915.1 318810 69359821 -1.535
71415000 0.451046 322114.7 327104 71414971 -1.525
73500000 0.449531 330405.5 335436 73499761 -1.500
75615000 0.448047 338790.7 343969 75614971 -1.505
77760000 0.446588 347266.9 352582 77759911 -1.507
79935000 0.445155 355835.0 361189 79933573 -1.482
82140000 0.443748 364494.4 369997 82139671 -1.487
84375000 0.442365 373245.8 378898 84374869 -1.492
86640000 0.441009 382090.6 387838 86639593 -1.482
88935000 0.439679 391028.4 396912 88934143 -1.482
91260000 0.438373 400059.0 406089 91259173 -1.485
93615000 0.437089 409181.1 415359 93614683 -1.487
96000000 0.435828 418395.1 424656 95999923 -1.474
98415000 0.434587 427698.7 434067 98414959 -1.467
100860000 0.433367 437093.9 443651 100859881 -1.478
103335000 0.432166 446579.1 453165 103334953 -1.453
105840000 0.430984 456153.0 463003 105839683 -1.479
108375000 0.429819 465816.0 472847 108374971 -1.487
110940000 0.428675 475572.2 482790 110939989 -1.495
113535000 0.427553 485422.0 492683 113534341 -1.474
116160000 0.426448 495362.4 502793 116159809 -1.478
118815000 0.425358 505389.7 512901 118814779 -1.464
121500000 0.424286 515507.4 523013 121499923 -1.435
124215000 0.423229 525713.3 533371 124214773 -1.436
126960000 0.422186 536007.0 543758 126959719 -1.425
129735000 0.421158 546389.6 554387 129734851 -1.443
132540000 0.420147 556862.6 564991 132539989 -1.439
135375000 0.419150 567423.7 575672 135374959 -1.433
138240000 0.418166 578072.6 586514 138239791 -1.439
141135000 0.417196 588809.3 597348 141134701 -1.429
144060000 0.416238 599632.5 608353 144059809 -1.433
147015000 0.415293 610543.2 619378 147014911 -1.426
150000000 0.414360 621540.1 630392 149999881 -1.404
153015000 0.413440 632625.6 641461 153014971 -1.377
156060000 0.412532 643797.9 652885 156059929 -1.392
159135000 0.411636 655057.2 664349 159134641 -1.399
162240000 0.410751 666402.2 675571 162239743 -1.357
165375000 0.409878 677836.0 687061 165374983 -1.343
168540000 0.409016 689355.2 698758 168539983 -1.346
171735000 0.408163 700959.4 710417 171734989 -1.331
174960000 0.407320 712647.8 722181 174959401 -1.320
178215000 0.406489 724424.7 734160 178214539 -1.326
181500000 0.405670 736290.4 746097 181499821 -1.314
184815000 0.404861 748243.1 758109 184814899 -1.301
188160000 0.404061 760281.6 770420 188159899 -1.316
191535000 0.403272 772406.3 782519 191534491 -1.292
194940000 0.402491 784616.2 794933 194939911 -1.298
198375000 0.401720 796911.4 807339 198374929 -1.292
201840000 0.400957 809291.4 819976 201839779 -1.303
205335000 0.400203 821757.1 832528 205334581 -1.294
208860000 0.399457 834306.5 845175 208859689 -1.286
212415000 0.398720 846940.1 858014 212414341 -1.291
216000000 0.397991 859660.7 870889 215999689 -1.289
219615000 0.397272 872468.1 883611 219614641 -1.261
223260000 0.396559 885358.1 896667 223259851 -1.261
226935000 0.395854 898332.3 909738 226934761 -1.254
230640000 0.395158 911392.7 922808 230639329 -1.237
234375000 0.394468 924535.3 935942 234374893 -1.219
238140000 0.393785 937760.1 949615 238139983 -1.248
241935000 0.393110 951069.8 963134 241934689 -1.253
245760000 0.392441 964462.7 976599 245759653 -1.243
249615000 0.391779 977940.2 990127 249614551 -1.231
253500000 0.391126 991503.7 1003802 253499683 -1.225
257415000 0.390479 1005150.7 1017595 257414539 -1.223
261360000 0.389839 1018881.9 1031468 261359773 -1.220
265335000 0.389205 1032697.4 1045533 265334749 -1.228
269340000 0.388578 1046595.6 1059434 269339881 -1.212
273375000 0.387956 1060575.6 1073498 273374743 -1.204
277440000 0.387341 1074638.7 1087643 277439821 -1.196
281535000 0.386732 1088785.8 1102137 281534509 -1.211
285660000 0.386130 1103017.6 1116529 285659371 -1.210
289815000 0.385532 1117330.8 1131175 289814803 -1.224
294000000 0.384940 1131724.3 1145768 293998891 -1.226
298215000 0.384354 1146200.1 1160361 298214641 -1.220
302460000 0.383772 1160757.6 1174999 302459623 -1.212
306735000 0.383196 1175397.2 1189811 306734641 -1.211
311040000 0.382625 1190118.1 1204792 311039791 -1.218
315375000 0.382059 1204919.0 1219692 315374833 -1.211
319740000 0.381498 1219802.6 1234778 319739671 -1.213
324135000 0.380943 1234768.6 1249972 324134611 -1.216
328560000 0.380392 1249815.5 1265171 328559719 -1.214
333015000 0.379846 1264943.2 1280512 333014641 -1.216
337500000 0.379305 1280153.6 1295935 337499779 -1.218
342015000 0.378769 1295445.9 1311309 342014473 -1.210
346560000 0.378238 1310820.1 1326837 346558339 -1.207
351135000 0.377711 1326277.1 1342407 351134143 -1.202
355740000 0.377190 1341814.9 1357958 355739959 -1.189
360375000 0.376673 1357434.5 1373608 360374983 -1.177
365040000 0.376160 1373134.1 1389579 365039749 -1.183
369735000 0.375651 1388912.8 1405386 369734779 -1.172
374460000 0.375146 1404772.7 1421432 374459653 -1.172
379215000 0.374646 1420713.3 1437530 379214821 -1.170
384000000 0.374149 1436733.2 1453884 383999851 -1.180
388815000 0.373657 1452835.8 1470126 388814773 -1.176
393660000 0.373170 1469019.6 1486367 393659899 -1.167
398535000 0.372686 1485285.7 1502833 398534599 -1.168
403440000 0.372207 1501630.9 1519347 403439653 -1.166
408375000 0.371731 1518056.4 1535858 408373129 -1.159
413340000 0.371259 1534560.7 1552475 413339869 -1.154
418335000 0.370790 1551145.9 1569245 418334689 -1.153
423360000 0.370326 1567810.7 1586237 423359971 -1.162
428415000 0.369865 1584555.3 1603040 428414689 -1.153
433500000 0.369408 1601381.7 1619924 433499329 -1.145
438615000 0.368954 1618289.0 1637284 438614989 -1.160
443760000 0.368505 1635275.7 1654428 443759779 -1.158
448935000 0.368058 1652340.9 1671650 448933609 -1.155
454140000 0.367615 1669485.8 1688901 454139839 -1.150
459375000 0.367175 1686709.1 1706360 459374779 -1.152
464640000 0.366738 1704010.7 1723665 464639941 -1.140
469935000 0.366304 1721390.7 1741200 469934371 -1.138
475260000 0.365873 1738847.8 1758758 475258603 -1.132
480615000 0.365445 1756383.1 1776556 480614581 -1.136
486000000 0.365020 1773996.4 1794116 485999533 -1.121
491415000 0.364598 1791690.6 1811977 491414743 -1.120
496860000 0.364180 1809465.6 1829844 496859851 -1.114
502335000 0.363765 1827320.2 1847738 502334953 -1.105
507840000 0.363353 1845252.5 1865818 507839713 -1.102
513375000 0.362944 1863263.7 1883999 513374923 -1.101
518940000 0.362538 1881353.5 1902273 518939791 -1.100
524535000 0.362134 1899521.2 1920551 524534743 -1.095
530160000 0.361734 1917768.7 1939085 530159803 -1.099
535815000 0.361336 1936094.8 1957584 535814311 -1.098
541500000 0.360942 1954500.0 1976135 541499953 -1.095
547215000 0.360550 1972984.7 1994892 547214671 -1.098
552960000 0.360161 1991548.0 2013695 552959923 -1.100
558735000 0.359775 2010189.3 2032441 558734833 -1.095
564540000 0.359391 2028908.2 2051324 564539683 -1.093
570375000 0.359011 2047707.2 2070330 570374743 -1.093
576240000 0.358632 2066583.8 2089259 576239959 -1.085
582135000 0.358257 2085537.4 2108394 582134479 -1.084
588060000 0.357883 2104568.2 2127656 588059533 -1.085
594015000 0.357513 2123678.1 2146987 594014791 -1.086
600000000 0.357144 2142865.8 2166303 599999431 -1.082
606015000 0.356778 2162130.5 2185810 606014641 -1.083
612060000 0.356415 2181472.5 2205266 612059431 -1.079
618135000 0.356053 2200891.2 2224968 618134851 -1.082
624240000 0.355694 2220386.7 2244584 624238873 -1.078
630375000 0.355338 2239959.4 2264432 630374623 -1.081
636540000 0.354983 2259608.4 2284100 636539713 -1.072
642735000 0.354630 2279334.2 2303991 642734713 -1.070
648960000 0.354280 2299138.2 2323819 648959671 -1.062
655215000 0.353933 2319020.7 2343864 655214899 -1.060
661500000 0.353587 2338981.0 2364032 661499623 -1.060
667815000 0.353244 2359017.0 2384241 667814839 -1.058
674160000 0.352903 2379128.4 2404558 674159611 -1.058
680535000 0.352563 2399316.2 2424874 680534671 -1.054
686940000 0.352226 2419581.1 2445343 686939833 -1.054
693375000 0.351891 2439924.1 2465862 693374743 -1.052
699840000 0.351558 2460343.8 2486368 699839893 -1.047
706335000 0.351227 2480839.6 2506983 706334689 -1.043
712860000 0.350898 2501411.5 2528009 712859713 -1.052
719415000 0.350571 2522060.7 2548893 719414149 -1.053
726000000 0.350246 2542785.8 2569788 725999851 -1.051
732615000 0.349923 2563588.3 2590650 732614923 -1.045
739260000 0.349602 2584466.8 2611720 739259791 -1.043
745935000 0.349282 2605420.1 2632929 745934479 -1.045
752640000 0.348965 2626450.7 2654021 752638561 -1.039
759375000 0.348650 2647558.0 2675281 759374953 -1.036
766140000 0.348336 2668742.6 2696275 766139743 -1.021
772935000 0.348024 2690001.7 2717721 772934893 -1.020
779760000 0.347714 2711336.0 2739346 779759371 -1.023
786615000 0.347406 2732746.9 2760886 786614749 -1.019
793500000 0.347099 2754232.2 2782443 793499851 -1.014
800415000 0.346794 2775792.2 2804068 800414983 -1.008
807360000 0.346491 2797426.5 2825873 807359911 -1.007
814335000 0.346189 2819135.5 2847714 814334881 -1.004
821340000 0.345889 2840921.4 2869581 821339881 -0.999
828375000 0.345590 2862781.7 2891653 828374851 -0.998
835440000 0.345293 2884717.0 2913702 835439599 -0.995
842535000 0.344998 2906727.3 2936015 842534971 -0.998
849660000 0.344704 2928814.0 2958143 849659809 -0.991
856815000 0.344412 2950976.4 2980557 856814869 -0.992
864000000 0.344122 2973212.5 3003054 863999659 -0.994
871215000 0.343833 2995522.8 3025549 871214821 -0.992
878460000 0.343545 3017907.9 3048098 878459761 -0.990
885735000 0.343260 3040369.7 3070711 885734893 -0.988
893040000 0.342975 3062907.2 3093565 893039473 -0.991
900375000 0.342693 3085520.7 3116392 900374779 -0.991
907740000 0.342412 3108208.7 3139335 907739773 -0.991
915135000 0.342132 3130973.8 3162458 915134821 -0.996
922560000 0.341855 3153813.8 3185412 922559779 -0.992
930015000 0.341578 3176728.0 3208303 930014809 -0.984
937500000 0.341303 3199717.2 3231688 937499581 -0.989
945015000 0.341030 3222781.9 3255068 945014971 -0.992
952560000 0.340758 3245921.9 3278362 952559719 -0.990
960135000 0.340487 3269137.4 3301774 960134629 -0.988
967740000 0.340218 3292428.7 3325247 967739629 -0.987
975375000 0.339951 3315793.0 3348756 975374971 -0.984
983040000 0.339684 3339229.5 3372308 983038963 -0.981
990735000 0.339419 3362740.7 3395969 990734911 -0.978
998460000 0.339155 3386328.1 3419704 998459719 -0.976
1006215000 0.338893 3409991.7 3443637 1006214611 -0.977
1014000000 0.338632 3433730.6 3467554 1013999953 -0.975
1021815000 0.338373 3457542.9 3491645 1021814503 -0.977
1029660000 0.338114 3481429.4 3515447 1029659863 -0.968
1037535000 0.337857 3505388.3 3539506 1037534893 -0.964
1045440000 0.337602 3529421.1 3563868 1045439911 -0.967
1053375000 0.337347 3553529.9 3588060 1053374473 -0.962
1061340000 0.337094 3577713.2 3612346 1061339689 -0.959
1069335000 0.336842 3601970.6 3637079 1069334713 -0.965
1077360000 0.336591 3626301.2 3661547 1077359809 -0.963
1085415000 0.336342 3650705.1 3686122 1085414791 -0.961
1093500000 0.336093 3675181.8 3710757 1093499599 -0.959
1101615000 0.335846 3699731.4 3735415 1101614953 -0.955
1109760000 0.335600 3724355.9 3760065 1109759941 -0.950
1117935000 0.335355 3749055.9 3784876 1117934791 -0.946
1126140000 0.335112 3773829.4 3809938 1126139173 -0.948
1134375000 0.334870 3798677.3 3834866 1134374071 -0.944
1142640000 0.334628 3823599.0 3860139 1142639779 -0.947
1150935000 0.334389 3848596.8 3885266 1150934959 -0.944
1159260000 0.334150 3873668.5 3910467 1159259401 -0.941
1167615000 0.333912 3898812.2 3935899 1167614629 -0.942
1176000000 0.333676 3924029.1 3961208 1175997931 -0.939
1184415000 0.333441 3949320.1 3986855 1184414593 -0.941

ysr · 发表于 2020-1-25 10:55

没有说明，数值是啥？看不懂。

lusishun · 发表于 2020-1-25 11:29

浪费空间，数字太多，意义不大

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