证明\(P_i+2P_j\)=2N+1(N≥4）在素数集内有解

白新岭 · 发表于 2021-10-13 17:35

针对素13 针对素13 针对素13 针对素13 针对素13
统计1+1 统计1+2 统计1+3 统计1+4 统计1+5
89466113 89467714 89467449 89468007 89467280
81964491 82028677 81957071 81970623 82001108
81912388 81938638 81938438 82000981 82006804
82103101 82068242 82034172 82099959 82052702
82095890 82003220 82036350 82030724 82019192
81963947 81958398 81953666 81984035 81965205
81944465 82022949 81927074 81990699 81947251
82092478 82033609 82048005 82028075 82094613
82036036 82066012 82064081 81973841 82102228
81947463 81976347 82025671 82058349 82019185
81976532 81971859 82071536 81962905 81943143
82005889 82085303 82020577 81973101 81990232
82167496 82055321 82132199 82134990 82067346

白新岭 · 发表于 2021-10-13 17:35

针对素13 针对素13 针对素13 针对素13
统计1+6 统计1+7 统计1+8 统计1+9
89466914 89467714 89467280 89467449
81984955 81938638 81965205 82034172
81930455 82003220 81943143 81927074
82095927 82022949 82006804 82025671
82031275 82066012 82094613 82132199
82033462 81971859 82067346 81938438
81955410 82055321 82019192 81953666
82128929 82028677 82019185 82064081
82006774 82068242 82001108 82020577
81991910 81958398 81947251 81957071
81961074 82033609 81990232 82036350
82049929 81976347 82052702 82048005
82039275 82085303 82102228 82071536

白新岭 · 发表于 2021-10-13 17:36

针对素13 针对素13 针对素13 针对素13
统计1+10 统计1+11 统计1+12 统计1+13
89468007 89466914 89469927 32767
82030724 81955410 82066488 89781580
81973841 82039275 81955765 90109250
82134990 82033462 82038433 88962405
82099959 82049929 82024295 88995172
82028075 82031275 82001856 89781580
81973101 81961074 82016344 89912648
82000981 82095927 82016344 89027939
81990699 81991910 82001856 89355609
81962905 81930455 82024295 89879881
81970623 82006774 82038433 89716046
81984035 81984955 81955765 89552211
82058349 82128929 82066488 88569201

白新岭 · 发表于 2021-10-13 17:37

素数13 统计1+1 理论占比实际占比占比绝对误差相对误差
0 89466113 8.33% 8.33269% 0.000644% 0.00772%
1 81964491 7.64% 7.63400% 0.004885% 0.06395%
2 81912388 7.64% 7.62915% 0.009738% 0.12747%
3 82103101 7.64% 7.64691% -0.008025% -0.10505%
4 82095890 7.64% 7.64624% -0.007353% -0.09626%
5 81963947 7.64% 7.63395% 0.004936% 0.06461%
6 81944465 7.64% 7.63214% 0.006750% 0.08836%
7 82092478 7.64% 7.64592% -0.007036% -0.09210%
8 82036036 7.64% 7.64067% -0.001779% -0.02328%
9 81947463 7.64% 7.63242% 0.006471% 0.08471%
10 81976532 7.64% 7.63513% 0.003763% 0.04927%
11 82005889 7.64% 7.63786% 0.001029% 0.01347%
12 82167496 7.64% 7.65291% -0.014023% -0.18357%
合计 1073676289 100.00% 100.00000% 0.000000% -0.00070%

白新岭 · 发表于 2021-10-13 17:37

素数13 统计1+2 理论占比实际占比占比绝对误差相对误差
0 89467714 8.33% 8.33284% 0.000495% 0.00593%
1 82028677 7.64% 7.63998% -0.001093% -0.01431%
2 81938638 7.64% 7.63160% 0.007293% 0.09547%
3 82068242 7.64% 7.64367% -0.004778% -0.06255%
4 82003220 7.64% 7.63761% 0.001278% 0.01673%
5 81958398 7.64% 7.63344% 0.005452% 0.07138%
6 82022949 7.64% 7.63945% -0.000560% -0.00733%
7 82033609 7.64% 7.64044% -0.001553% -0.02033%
8 82066012 7.64% 7.64346% -0.004571% -0.05983%
9 81976347 7.64% 7.63511% 0.003781% 0.04949%
10 81971859 7.64% 7.63469% 0.004199% 0.05496%
11 82085303 7.64% 7.64526% -0.006367% -0.08335%
12 82055321 7.64% 7.64246% -0.003575% -0.04680%
合计 1073676289 100.00% 100.00000% 0.000000% -0.00054%

白新岭 · 发表于 2021-10-13 17:38

素数13 统计1+3 理论占比实际占比占比绝对误差相对误差
0 89467449 8.33% 8.33281% 0.000519% 0.00623%
1 81957071 7.64% 7.63331% 0.005576% 0.07299%
2 81938438 7.64% 7.63158% 0.007311% 0.09571%
3 82034172 7.64% 7.64049% -0.001605% -0.02101%
4 82036350 7.64% 7.64070% -0.001808% -0.02367%
5 81953666 7.64% 7.63300% 0.005893% 0.07715%
6 81927074 7.64% 7.63052% 0.008370% 0.10957%
7 82048005 7.64% 7.64178% -0.002893% -0.03788%
8 82064081 7.64% 7.64328% -0.004391% -0.05748%
9 82025671 7.64% 7.63970% -0.000813% -0.01065%
10 82071536 7.64% 7.64397% -0.005085% -0.06657%
11 82020577 7.64% 7.63923% -0.000339% -0.00444%
12 82132199 7.64% 7.64962% -0.010735% -0.14053%
合计 1073676289 100.00% 100.00000% 0.000000% -0.00057%

白新岭 · 发表于 2021-10-13 17:39

素数13 统计1+4 理论占比实际占比占比绝对误差相对误差
0 89468007 8.33% 8.33287% 0.000467% 0.00561%
1 81970623 7.64% 7.63458% 0.004314% 0.05647%
2 82000981 7.64% 7.63740% 0.001486% 0.01946%
3 82099959 7.64% 7.64662% -0.007732% -0.10122%
4 82030724 7.64% 7.64017% -0.001284% -0.01681%
5 81984035 7.64% 7.63582% 0.003065% 0.04012%
6 81990699 7.64% 7.63644% 0.002444% 0.03199%
7 82028075 7.64% 7.63993% -0.001037% -0.01358%
8 81973841 7.64% 7.63487% 0.004014% 0.05255%
9 82058349 7.64% 7.64275% -0.003857% -0.05049%
10 81962905 7.64% 7.63386% 0.005033% 0.06588%
11 81973101 7.64% 7.63481% 0.004083% 0.05345%
12 82134990 7.64% 7.64988% -0.010995% -0.14394%
合计 1073676289 100.00% 100.00000% 0.000000% -0.00051%

白新岭 · 发表于 2021-10-13 17:39

素数13 统计1+5 理论占比实际占比占比绝对误差相对误差
0 89467280 8.33% 8.33280% 0.000535% 0.00642%
1 82001108 7.64% 7.63741% 0.001474% 0.01930%
2 82006804 7.64% 7.63794% 0.000944% 0.01236%
3 82052702 7.64% 7.64222% -0.003331% -0.04360%
4 82019192 7.64% 7.63910% -0.000210% -0.00275%
5 81965205 7.64% 7.63407% 0.004818% 0.06308%
6 81947251 7.64% 7.63240% 0.006491% 0.08497%
7 82094613 7.64% 7.64612% -0.007234% -0.09471%
8 82102228 7.64% 7.64683% -0.007944% -0.10399%
9 82019185 7.64% 7.63910% -0.000209% -0.00274%
10 81943143 7.64% 7.63202% 0.006873% 0.08998%
11 81990232 7.64% 7.63640% 0.002487% 0.03256%
12 82067346 7.64% 7.64358% -0.004695% -0.06146%
合计 1073676289 100.00% 100.00000% 0.000000% -0.00058%

白新岭 · 发表于 2021-10-13 17:40

素数13 统计1+6 理论占比实际占比占比绝对误差相对误差
0 89466914 8.33% 8.33276% 0.000569% 0.00683%
1 81984955 7.64% 7.63591% 0.002979% 0.03900%
2 81930455 7.64% 7.63083% 0.008055% 0.10545%
3 82095927 7.64% 7.64625% -0.007357% -0.09631%
4 82031275 7.64% 7.64022% -0.001335% -0.01748%
5 82033462 7.64% 7.64043% -0.001539% -0.02015%
6 81955410 7.64% 7.63316% 0.005731% 0.07502%
7 82128929 7.64% 7.64932% -0.010431% -0.13655%
8 82006774 7.64% 7.63794% 0.000947% 0.01239%
9 81991910 7.64% 7.63656% 0.002331% 0.03052%
10 81961074 7.64% 7.63369% 0.005203% 0.06811%
11 82049929 7.64% 7.64196% -0.003073% -0.04022%
12 82039275 7.64% 7.64097% -0.002080% -0.02723%
合计 1073676289 100.00% 100.00000% 0.000000% -0.00062%

白新岭 · 发表于 2021-10-13 17:40

素数13 统计1+7 理论占比实际占比占比绝对误差相对误差
0 89467714 8.33% 8.33284% 0.000495% 0.00593%
1 81938638 7.64% 7.63160% 0.007293% 0.09547%
2 82003220 7.64% 7.63761% 0.001278% 0.01673%
3 82022949 7.64% 7.63945% -0.000560% -0.00733%
4 82066012 7.64% 7.64346% -0.004571% -0.05983%
5 81971859 7.64% 7.63469% 0.004199% 0.05496%
6 82055321 7.64% 7.64246% -0.003575% -0.04680%
7 82028677 7.64% 7.63998% -0.001093% -0.01431%
8 82068242 7.64% 7.64367% -0.004778% -0.06255%
9 81958398 7.64% 7.63344% 0.005452% 0.07138%
10 82033609 7.64% 7.64044% -0.001553% -0.02033%
11 81976347 7.64% 7.63511% 0.003781% 0.04949%
12 82085303 7.64% 7.64526% -0.006367% -0.08335%
合计 1073676289 100.00% 100.00000% 0.000000% -0.00054%

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