证明\(P_i+2P_j\)=2N+1(N≥4）在素数集内有解

独木星空谁 · 发表于 2021-10-15 19:20

素数31 统计2+15 理论占比实际占比占比绝对误差相对误差
0 1106477950816 3.33% 3.33333% 0.000001% 0.00004%
1 1069540376857 3.22% 3.22206% 0.000167% 0.00518%
2 1069622838353 3.22% 3.22230% -0.000081% -0.00253%
3 1069617841675 3.22% 3.22229% -0.000066% -0.00206%
4 1069602472434 3.22% 3.22224% -0.000020% -0.00062%
5 1069589949295 3.22% 3.22220% 0.000018% 0.00055%
6 1069616773658 3.22% 3.22229% -0.000063% -0.00196%
7 1069643382790 3.22% 3.22237% -0.000143% -0.00445%
8 1069574117269 3.22% 3.22216% 0.000065% 0.00203%
9 1069634545514 3.22% 3.22234% -0.000117% -0.00362%
10 1069540332281 3.22% 3.22206% 0.000167% 0.00519%
11 1069562929484 3.22% 3.22212% 0.000099% 0.00307%
12 1069551129966 3.22% 3.22209% 0.000135% 0.00418%
13 1069591906113 3.22% 3.22221% 0.000012% 0.00036%
14 1069543553164 3.22% 3.22206% 0.000157% 0.00488%
15 1069617309461 3.22% 3.22229% -0.000065% -0.00201%
16 1069564539975 3.22% 3.22213% 0.000094% 0.00292%
17 1069633655414 3.22% 3.22234% -0.000114% -0.00354%
18 1069614847244 3.22% 3.22228% -0.000057% -0.00178%
19 1069608967936 3.22% 3.22226% -0.000040% -0.00123%
20 1069630738389 3.22% 3.22233% -0.000105% -0.00327%
21 1069665888680 3.22% 3.22243% -0.000211% -0.00655%
22 1069556731570 3.22% 3.22210% 0.000118% 0.00365%
23 1069584307933 3.22% 3.22219% 0.000035% 0.00107%
24 1069602934225 3.22% 3.22224% -0.000022% -0.00067%
25 1069601763552 3.22% 3.22224% -0.000018% -0.00056%
26 1069632875103 3.22% 3.22233% -0.000112% -0.00347%
27 1069539960475 3.22% 3.22205% 0.000168% 0.00522%
28 1069624684506 3.22% 3.22231% -0.000087% -0.00270%
29 1069560390498 3.22% 3.22212% 0.000107% 0.00331%
30 1069602499486 3.22% 3.22224% -0.000020% -0.00063%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-15 19:21

素数31 统计2+16 理论占比实际占比占比绝对误差相对误差
0 1106478089176 3.33% 3.33333% 0.000001% 0.00003%
1 1069579051540 3.22% 3.22217% 0.000050% 0.00157%
2 1069589350050 3.22% 3.22220% 0.000019% 0.00060%
3 1069604439917 3.22% 3.22225% -0.000026% -0.00081%
4 1069578605837 3.22% 3.22217% 0.000052% 0.00161%
5 1069621289566 3.22% 3.22230% -0.000077% -0.00238%
6 1069556001907 3.22% 3.22210% 0.000120% 0.00372%
7 1069663587679 3.22% 3.22243% -0.000204% -0.00634%
8 1069550616856 3.22% 3.22209% 0.000136% 0.00422%
9 1069622944134 3.22% 3.22230% -0.000082% -0.00254%
10 1069606558777 3.22% 3.22225% -0.000032% -0.00101%
11 1069599379277 3.22% 3.22223% -0.000011% -0.00034%
12 1069595638710 3.22% 3.22222% 0.000000% 0.00001%
13 1069651281347 3.22% 3.22239% -0.000167% -0.00519%
14 1069589339164 3.22% 3.22220% 0.000019% 0.00060%
15 1069588424965 3.22% 3.22220% 0.000022% 0.00069%
16 1069593323816 3.22% 3.22221% 0.000007% 0.00023%
17 1069588161489 3.22% 3.22220% 0.000023% 0.00071%
18 1069555453593 3.22% 3.22210% 0.000122% 0.00377%
19 1069564483911 3.22% 3.22213% 0.000094% 0.00293%
20 1069594285954 3.22% 3.22222% 0.000005% 0.00014%
21 1069599561996 3.22% 3.22223% -0.000011% -0.00035%
22 1069568368159 3.22% 3.22214% 0.000083% 0.00256%
23 1069607617090 3.22% 3.22226% -0.000036% -0.00111%
24 1069582653476 3.22% 3.22218% 0.000040% 0.00123%
25 1069662358749 3.22% 3.22242% -0.000201% -0.00622%
26 1069601604312 3.22% 3.22224% -0.000018% -0.00054%
27 1069563798720 3.22% 3.22213% 0.000096% 0.00299%
28 1069638012426 3.22% 3.22235% -0.000127% -0.00395%
29 1069594003002 3.22% 3.22222% 0.000005% 0.00017%
30 1069563908521 3.22% 3.22213% 0.000096% 0.00298%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-15 19:21

素数31 统计2+17 理论占比实际占比占比绝对误差相对误差
0 1106477908110 3.33% 3.33333% 0.000002% 0.00005%
1 1069534949427 3.22% 3.22204% 0.000183% 0.00569%
2 1069625127894 3.22% 3.22231% -0.000088% -0.00274%
3 1069613379375 3.22% 3.22228% -0.000053% -0.00164%
4 1069612289030 3.22% 3.22227% -0.000050% -0.00154%
5 1069602662593 3.22% 3.22224% -0.000021% -0.00064%
6 1069558058961 3.22% 3.22211% 0.000114% 0.00353%
7 1069632742042 3.22% 3.22233% -0.000111% -0.00345%
8 1069615291024 3.22% 3.22228% -0.000059% -0.00182%
9 1069616189980 3.22% 3.22228% -0.000061% -0.00191%
10 1069594829311 3.22% 3.22222% 0.000003% 0.00009%
11 1069621471551 3.22% 3.22230% -0.000077% -0.00240%
12 1069569653221 3.22% 3.22214% 0.000079% 0.00244%
13 1069640503965 3.22% 3.22236% -0.000135% -0.00418%
14 1069545833459 3.22% 3.22207% 0.000151% 0.00467%
15 1069622938257 3.22% 3.22230% -0.000082% -0.00254%
16 1069567505470 3.22% 3.22214% 0.000085% 0.00264%
17 1069619245523 3.22% 3.22229% -0.000071% -0.00219%
18 1069543265688 3.22% 3.22206% 0.000158% 0.00491%
19 1069607164511 3.22% 3.22226% -0.000034% -0.00106%
20 1069606999292 3.22% 3.22226% -0.000034% -0.00105%
21 1069674194046 3.22% 3.22246% -0.000236% -0.00733%
22 1069563312934 3.22% 3.22212% 0.000098% 0.00304%
23 1069589562644 3.22% 3.22220% 0.000019% 0.00058%
24 1069548648332 3.22% 3.22208% 0.000142% 0.00441%
25 1069637414113 3.22% 3.22235% -0.000125% -0.00389%
26 1069569380232 3.22% 3.22214% 0.000080% 0.00247%
27 1069562273521 3.22% 3.22212% 0.000101% 0.00313%
28 1069594962114 3.22% 3.22222% 0.000003% 0.00008%
29 1069559788589 3.22% 3.22211% 0.000108% 0.00337%
30 1069624648907 3.22% 3.22231% -0.000087% -0.00270%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-15 19:21

素数31 统计2+18 理论占比实际占比占比绝对误差相对误差
0 1106478075328 3.33% 3.33333% 0.000001% 0.00003%
1 1069609171886 3.22% 3.22226% -0.000040% -0.00125%
2 1069574524081 3.22% 3.22216% 0.000064% 0.00199%
3 1069654331218 3.22% 3.22240% -0.000176% -0.00547%
4 1069633216623 3.22% 3.22233% -0.000113% -0.00350%
5 1069601072316 3.22% 3.22224% -0.000016% -0.00049%
6 1069575590414 3.22% 3.22216% 0.000061% 0.00189%
7 1069604066461 3.22% 3.22225% -0.000025% -0.00077%
8 1069603924144 3.22% 3.22225% -0.000024% -0.00076%
9 1069601058626 3.22% 3.22224% -0.000016% -0.00049%
10 1069556055353 3.22% 3.22210% 0.000120% 0.00372%
11 1069591611246 3.22% 3.22221% 0.000013% 0.00039%
12 1069549811687 3.22% 3.22208% 0.000139% 0.00430%
13 1069596479586 3.22% 3.22222% -0.000002% -0.00006%
14 1069557891208 3.22% 3.22211% 0.000114% 0.00354%
15 1069593639801 3.22% 3.22222% 0.000006% 0.00020%
16 1069583094245 3.22% 3.22218% 0.000038% 0.00119%
17 1069613999032 3.22% 3.22228% -0.000055% -0.00170%
18 1069588633507 3.22% 3.22220% 0.000022% 0.00067%
19 1069629545043 3.22% 3.22232% -0.000102% -0.00316%
20 1069598807379 3.22% 3.22223% -0.000009% -0.00028%
21 1069649053493 3.22% 3.22238% -0.000160% -0.00498%
22 1069558326278 3.22% 3.22211% 0.000113% 0.00350%
23 1069591711810 3.22% 3.22221% 0.000012% 0.00038%
24 1069580008406 3.22% 3.22217% 0.000048% 0.00148%
25 1069652562333 3.22% 3.22239% -0.000171% -0.00531%
26 1069573990603 3.22% 3.22216% 0.000066% 0.00204%
27 1069574575910 3.22% 3.22216% 0.000064% 0.00198%
28 1069615005117 3.22% 3.22228% -0.000058% -0.00180%
29 1069590542213 3.22% 3.22221% 0.000016% 0.00049%
30 1069571818769 3.22% 3.22215% 0.000072% 0.00224%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-15 19:22

素数31 统计2+19 理论占比实际占比占比绝对误差相对误差
0 1106478042285 3.33% 3.33333% 0.000001% 0.00003%
1 1069577070410 3.22% 3.22217% 0.000056% 0.00175%
2 1069599314554 3.22% 3.22223% -0.000011% -0.00033%
3 1069612832974 3.22% 3.22227% -0.000051% -0.00159%
4 1069623163579 3.22% 3.22230% -0.000082% -0.00256%
5 1069630409149 3.22% 3.22233% -0.000104% -0.00324%
6 1069586059886 3.22% 3.22219% 0.000029% 0.00091%
7 1069633235736 3.22% 3.22234% -0.000113% -0.00350%
8 1069596606800 3.22% 3.22222% -0.000002% -0.00008%
9 1069581951546 3.22% 3.22218% 0.000042% 0.00129%
10 1069589166169 3.22% 3.22220% 0.000020% 0.00062%
11 1069561339290 3.22% 3.22212% 0.000104% 0.00322%
12 1069580079192 3.22% 3.22217% 0.000047% 0.00147%
13 1069620629657 3.22% 3.22230% -0.000075% -0.00232%
14 1069531417992 3.22% 3.22203% 0.000194% 0.00602%
15 1069610038900 3.22% 3.22227% -0.000043% -0.00133%
16 1069549402019 3.22% 3.22208% 0.000140% 0.00434%
17 1069609687200 3.22% 3.22226% -0.000042% -0.00130%
18 1069604297952 3.22% 3.22225% -0.000026% -0.00080%
19 1069622350961 3.22% 3.22230% -0.000080% -0.00248%
20 1069653353829 3.22% 3.22240% -0.000173% -0.00538%
21 1069634916058 3.22% 3.22234% -0.000118% -0.00366%
22 1069560224948 3.22% 3.22212% 0.000107% 0.00333%
23 1069563890936 3.22% 3.22213% 0.000096% 0.00298%
24 1069533854904 3.22% 3.22204% 0.000187% 0.00579%
25 1069608493642 3.22% 3.22226% -0.000038% -0.00119%
26 1069596191112 3.22% 3.22222% -0.000001% -0.00004%
27 1069553345863 3.22% 3.22209% 0.000128% 0.00397%
28 1069609010574 3.22% 3.22226% -0.000040% -0.00124%
29 1069629809059 3.22% 3.22232% -0.000102% -0.00318%
30 1069612006940 3.22% 3.22227% -0.000049% -0.00152%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-15 19:22

素数31 统计2+20 理论占比实际占比占比绝对误差相对误差
0 1106477984614 3.33% 3.33333% 0.000001% 0.00004%
1 1069609611332 3.22% 3.22226% -0.000042% -0.00129%
2 1069647130485 3.22% 3.22238% -0.000155% -0.00480%
3 1069569137004 3.22% 3.22214% 0.000080% 0.00249%
4 1069607531469 3.22% 3.22226% -0.000035% -0.00110%
5 1069576524530 3.22% 3.22216% 0.000058% 0.00180%
6 1069594095134 3.22% 3.22222% 0.000005% 0.00016%
7 1069614503340 3.22% 3.22228% -0.000056% -0.00175%
8 1069604668063 3.22% 3.22225% -0.000027% -0.00083%
9 1069625037800 3.22% 3.22231% -0.000088% -0.00273%
10 1069560619484 3.22% 3.22212% 0.000106% 0.00329%
11 1069577894642 3.22% 3.22217% 0.000054% 0.00167%
12 1069603579040 3.22% 3.22225% -0.000023% -0.00073%
13 1069615529589 3.22% 3.22228% -0.000059% -0.00185%
14 1069580301284 3.22% 3.22218% 0.000047% 0.00145%
15 1069603962411 3.22% 3.22225% -0.000025% -0.00076%
16 1069535457099 3.22% 3.22204% 0.000182% 0.00564%
17 1069593483127 3.22% 3.22222% 0.000007% 0.00022%
18 1069545522307 3.22% 3.22207% 0.000151% 0.00470%
19 1069605546249 3.22% 3.22225% -0.000029% -0.00091%
20 1069637931246 3.22% 3.22235% -0.000127% -0.00394%
21 1069643544396 3.22% 3.22237% -0.000144% -0.00446%
22 1069520121252 3.22% 3.22199% 0.000228% 0.00707%
23 1069577538949 3.22% 3.22217% 0.000055% 0.00171%
24 1069613164798 3.22% 3.22227% -0.000052% -0.00162%
25 1069603261427 3.22% 3.22224% -0.000022% -0.00070%
26 1069612055114 3.22% 3.22227% -0.000049% -0.00152%
27 1069555581413 3.22% 3.22210% 0.000121% 0.00376%
28 1069655427270 3.22% 3.22240% -0.000180% -0.00558%
29 1069572575482 3.22% 3.22215% 0.000070% 0.00217%
30 1069612873766 3.22% 3.22227% -0.000051% -0.00160%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-15 19:23

素数31 统计2+21 理论占比实际占比占比绝对误差相对误差
0 1106477987456 3.33% 3.33333% 0.000001% 0.00004%
1 1069562766500 3.22% 3.22212% 0.000099% 0.00309%
2 1069608717578 3.22% 3.22226% -0.000039% -0.00121%
3 1069584343837 3.22% 3.22219% 0.000034% 0.00107%
4 1069572226812 3.22% 3.22215% 0.000071% 0.00220%
5 1069600739078 3.22% 3.22224% -0.000015% -0.00046%
6 1069584643857 3.22% 3.22219% 0.000034% 0.00104%
7 1069622099982 3.22% 3.22230% -0.000079% -0.00246%
8 1069575944866 3.22% 3.22216% 0.000060% 0.00186%
9 1069630224489 3.22% 3.22233% -0.000104% -0.00322%
10 1069570332313 3.22% 3.22215% 0.000077% 0.00238%
11 1069591935630 3.22% 3.22221% 0.000012% 0.00036%
12 1069575518812 3.22% 3.22216% 0.000061% 0.00190%
13 1069586011306 3.22% 3.22219% 0.000029% 0.00091%
14 1069515744311 3.22% 3.22198% 0.000241% 0.00748%
15 1069632997221 3.22% 3.22233% -0.000112% -0.00348%
16 1069588899751 3.22% 3.22220% 0.000021% 0.00064%
17 1069626442512 3.22% 3.22231% -0.000092% -0.00287%
18 1069573589040 3.22% 3.22216% 0.000067% 0.00208%
19 1069648484992 3.22% 3.22238% -0.000159% -0.00493%
20 1069584593886 3.22% 3.22219% 0.000034% 0.00105%
21 1069658590776 3.22% 3.22241% -0.000189% -0.00587%
22 1069530363836 3.22% 3.22203% 0.000197% 0.00612%
23 1069564940099 3.22% 3.22213% 0.000093% 0.00288%
24 1069592804705 3.22% 3.22221% 0.000009% 0.00028%
25 1069641807454 3.22% 3.22236% -0.000139% -0.00430%
26 1069588733350 3.22% 3.22220% 0.000021% 0.00066%
27 1069594399620 3.22% 3.22222% 0.000004% 0.00013%
28 1069641021608 3.22% 3.22236% -0.000136% -0.00423%
29 1069593362916 3.22% 3.22221% 0.000007% 0.00023%
30 1069631925523 3.22% 3.22233% -0.000109% -0.00338%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-15 19:46

针对素31 针对素31 针对素31 针对素31 针对素31
统计3+1 统计3+2 统计3+3 统计3+4 统计3+5
1106478018862 1106478119475 1106477810737 1106477908110 1106477992335
1069606790252 1069568125764 1069580971001 1069567505470 1069596567552
1069558715404 1069573519094 1069514667909 1069534949427 1069588850540
1069601315957 1069627988875 1069632425326 1069619245523 1069627214282
1069581947894 1069610396836 1069617802658 1069625127894 1069567342708
1069554063398 1069570455615 1069541824688 1069543265688 1069587192674
1069594007874 1069586623994 1069602865215 1069613379375 1069643800376
1069559398652 1069632523811 1069602191033 1069607164511 1069624572485
1069588175689 1069584257371 1069622074849 1069612289030 1069643052378
1069557575629 1069608458862 1069570228940 1069606999292 1069562040366
1069624743597 1069586120458 1069605856951 1069602662593 1069604431333
1069589279921 1069622431707 1069664184296 1069674194046 1069638675965
1069543919165 1069565636746 1069545861788 1069558058961 1069563441798
1069617182451 1069614997997 1069611987887 1069563312934 1069607036429
1069633001912 1069559437868 1069602325952 1069632742042 1069573638219
1069583984042 1069584016802 1069566065266 1069589562644 1069568096063
1069619912497 1069619494352 1069684449568 1069615291024 1069673218584
1069589556676 1069580556453 1069555436535 1069548648332 1069586592677
1069592108703 1069565087358 1069585162201 1069616189980 1069570278073
1069638181819 1069612695496 1069613289405 1069637414113 1069628448187
1069635252370 1069633707876 1069623583140 1069594829311 1069584749081
1069548953545 1069600724679 1069516907423 1069569380232 1069521289363
1069639649035 1069587953683 1069661646531 1069621471551 1069631968363
1069600632555 1069606247831 1069599015341 1069562273521 1069611328237
1069580021154 1069547971077 1069554075028 1069569653221 1069534293824
1069568917534 1069593650180 1069525633859 1069594962114 1069545844093
1069673995642 1069642633678 1069663277024 1069640503965 1069619062500
1069578996581 1069535244691 1069544990275 1069559788589 1069575419634
1069618221313 1069619370145 1069574664686 1069545833459 1069586906336
1069586368241 1069611093617 1069647180838 1069624648907 1069594439382
1069609305752 1069622651725 1069643737766 1069622938257 1069614410279

独木星空谁 · 发表于 2021-10-15 19:46

针对素31 针对素31 针对素31 针对素31 针对素31
统计3+6 统计3+7 统计3+8 统计3+9 统计3+10
1106478054858 1106477950816 1106477992335 1106478018862 1106477908110
1069632928478 1069562929484 1069563441798 1069548953545 1069621471551
1069547650823 1069556731570 1069534293824 1069589279921 1069563312934
1069593704163 1069622838353 1069587192674 1069606790252 1069625127894
1069566317564 1069591906113 1069586592677 1069639649035 1069640503965
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独木星空谁 · 发表于 2021-10-15 19:46

针对素31 针对素31 针对素31 针对素31 针对素31
统计3+11 统计3+12 统计3+13 统计3+14 统计3+15
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