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 2021-10-13 12:12

素数11 统计1+2 理论占比实际占比占比绝对误差相对误差
0 3319434268742 10.00% 10.00000% 0.000003% 100.00003%
1 2987567632041 9.00% 9.00023% -0.000229% -0.00254%
2 2987408974554 9.00% 8.99975% 0.000249% 0.00277%
3 2987452348130 9.00% 8.99988% 0.000119% 0.00132%
4 2987573360553 9.00% 9.00025% -0.000246% -0.00273%
5 2987368996480 9.00% 8.99963% 0.000370% 0.00411%
6 2987700754830 9.00% 9.00063% -0.000630% -0.00700%
7 2987420461071 9.00% 8.99979% 0.000215% 0.00238%
8 2987664932358 9.00% 9.00052% -0.000522% -0.00580%
9 2987496833270 9.00% 9.00002% -0.000015% -0.00017%
10 2987263632087 9.00% 8.99931% 0.000687% 0.00763%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:12

素数11 统计1+3 理论占比实际占比占比绝对误差相对误差
0 3319434016200 10.00% 10.00000% 0.000004% 100.00004%
1 2987704737114 9.00% 9.00064% -0.000642% -0.00713%
2 2987369504683 9.00% 8.99963% 0.000368% 0.00409%
3 2987673461592 9.00% 9.00055% -0.000548% -0.00608%
4 2987572985942 9.00% 9.00024% -0.000245% -0.00272%
5 2987510043069 9.00% 9.00006% -0.000055% -0.00061%
6 2987436302966 9.00% 8.99983% 0.000167% 0.00185%
7 2987346455276 9.00% 8.99956% 0.000438% 0.00486%
8 2987355394979 9.00% 8.99959% 0.000411% 0.00456%
9 2987775151155 9.00% 9.00085% -0.000854% -0.00949%
10 2987174141140 9.00% 8.99904% 0.000957% 0.01063%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:13

素数11 统计1+4 理论占比实际占比占比绝对误差相对误差
0 3319434016200 10.00% 10.00000% 0.000004% 100.00004%
1 2987673461592 9.00% 9.00055% -0.000548% -0.00608%
2 2987436302966 9.00% 8.99983% 0.000167% 0.00185%
3 2987775151155 9.00% 9.00085% -0.000854% -0.00949%
4 2987704737114 9.00% 9.00064% -0.000642% -0.00713%
5 2987572985942 9.00% 9.00024% -0.000245% -0.00272%
6 2987346455276 9.00% 8.99956% 0.000438% 0.00486%
7 2987174141140 9.00% 8.99904% 0.000957% 0.01063%
8 2987369504683 9.00% 8.99963% 0.000368% 0.00409%
9 2987510043069 9.00% 9.00006% -0.000055% -0.00061%
10 2987355394979 9.00% 8.99959% 0.000411% 0.00456%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:13

素数11 统计1+5 理论占比实际占比占比绝对误差相对误差
0 3319433848310 10.00% 10.00000% 0.000004% 100.00004%
1 2987642104473 9.00% 9.00045% -0.000453% -0.00503%
2 2987188170084 9.00% 8.99909% 0.000914% 0.01016%
3 2987541504537 9.00% 9.00015% -0.000150% -0.00167%
4 2987837939633 9.00% 9.00104% -0.001043% -0.01159%
5 2987408549096 9.00% 8.99975% 0.000250% 0.00278%
6 2987422272151 9.00% 8.99979% 0.000209% 0.00232%
7 2987279698971 9.00% 8.99936% 0.000639% 0.00710%
8 2987527838733 9.00% 9.00011% -0.000109% -0.00121%
9 2987806204473 9.00% 9.00095% -0.000947% -0.01053%
10 2987264063655 9.00% 8.99931% 0.000686% 0.00762%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:14

素数11 统计1+6 理论占比实际占比占比绝对误差相对误差
0 3319434268742 10.00% 10.00000% 0.000003% 100.00003%
1 2987408974554 9.00% 8.99975% 0.000249% 0.00277%
2 2987573360553 9.00% 9.00025% -0.000246% -0.00273%
3 2987700754830 9.00% 9.00063% -0.000630% -0.00700%
4 2987664932358 9.00% 9.00052% -0.000522% -0.00580%
5 2987263632087 9.00% 8.99931% 0.000687% 0.00763%
6 2987567632041 9.00% 9.00023% -0.000229% -0.00254%
7 2987452348130 9.00% 8.99988% 0.000119% 0.00132%
8 2987368996480 9.00% 8.99963% 0.000370% 0.00411%
9 2987420461071 9.00% 8.99979% 0.000215% 0.00238%
10 2987496833270 9.00% 9.00002% -0.000015% -0.00017%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:14

素数11 统计1+7 理论占比实际占比占比绝对误差相对误差
0 3319434085440 10.00% 10.00000% 0.000003% 100.00003%
1 2987500987955 9.00% 9.00003% -0.000028% -0.00031%
2 2987277212823 9.00% 8.99935% 0.000646% 0.00718%
3 2987542318462 9.00% 9.00015% -0.000152% -0.00169%
4 2987559611118 9.00% 9.00020% -0.000205% -0.00227%
5 2987187272564 9.00% 8.99908% 0.000917% 0.01019%
6 2987731695042 9.00% 9.00072% -0.000723% -0.00803%
7 2987319273196 9.00% 8.99948% 0.000519% 0.00577%
8 2987602048992 9.00% 9.00033% -0.000332% -0.00369%
9 2987669043443 9.00% 9.00053% -0.000534% -0.00594%
10 2987528645081 9.00% 9.00011% -0.000111% -0.00124%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:15

素数11 统计1+8 理论占比实际占比占比绝对误差相对误差
0 3319434085440 10.00% 10.00000% 0.000003% 100.00003%
1 2987319273196 9.00% 8.99948% 0.000519% 0.00577%
2 2987542318462 9.00% 9.00015% -0.000152% -0.00169%
3 2987528645081 9.00% 9.00011% -0.000111% -0.00124%
4 2987731695042 9.00% 9.00072% -0.000723% -0.00803%
5 2987277212823 9.00% 8.99935% 0.000646% 0.00718%
6 2987669043443 9.00% 9.00053% -0.000534% -0.00594%
7 2987187272564 9.00% 8.99908% 0.000917% 0.01019%
8 2987500987955 9.00% 9.00003% -0.000028% -0.00031%
9 2987602048992 9.00% 9.00033% -0.000332% -0.00369%
10 2987559611118 9.00% 9.00020% -0.000205% -0.00227%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:15

素数11 统计1+9 理论占比实际占比占比绝对误差相对误差
0 3319433848310 10.00% 10.00000% 0.000004% 100.00004%
1 2987408549096 9.00% 8.99975% 0.000250% 0.00278%
2 2987264063655 9.00% 8.99931% 0.000686% 0.00762%
3 2987837939633 9.00% 9.00104% -0.001043% -0.01159%
4 2987806204473 9.00% 9.00095% -0.000947% -0.01053%
5 2987541504537 9.00% 9.00015% -0.000150% -0.00167%
6 2987527838733 9.00% 9.00011% -0.000109% -0.00121%
7 2987188170084 9.00% 8.99909% 0.000914% 0.01016%
8 2987279698971 9.00% 8.99936% 0.000639% 0.00710%
9 2987642104473 9.00% 9.00045% -0.000453% -0.00503%
10 2987422272151 9.00% 8.99979% 0.000209% 0.00232%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:15

素数11 统计1+10 理论占比实际占比占比绝对误差相对误差
0 3319434537146 10.00% 10.00000% 0.000002% 100.00002%
1 2987395246212 9.00% 8.99971% 0.000291% 0.00323%
2 2987510507534 9.00% 9.00006% -0.000057% -0.00063%
3 2987633995275 9.00% 9.00043% -0.000429% -0.00476%
4 2987483231154 9.00% 8.99997% 0.000026% 0.00028%
5 2987435848310 9.00% 8.99983% 0.000168% 0.00187%
6 2987435848310 9.00% 8.99983% 0.000168% 0.00187%
7 2987483231154 9.00% 8.99997% 0.000026% 0.00028%
8 2987633995275 9.00% 9.00043% -0.000429% -0.00476%
9 2987510507534 9.00% 9.00006% -0.000057% -0.00063%
10 2987395246212 9.00% 8.99971% 0.000291% 0.00323%
合计 33194352194116 100.00% 100.00000% 0.000000% 100.00000%

独木星空谁 · 发表于 2021-10-13 12:17

当相对误差之和也可以达到100%时，说明理论值与实际值基本吻合。

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