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 20:27

针对素13 针对素13 针对素13 针对素13
统计1+9 统计1+10 统计1+11 统计1+12
2766195184353 2766195176680 2766194924210 2766195342170
2535815230258 2535737375215 2535589632802 2535688043815
2535571271879 2535682158776 2535669802182 2535577428430
2535885293829 2535834047981 2535672667668 2535856440666
2535756281376 2535883464020 2535663980631 2535807533630
2535508380892 2535528130272 2535594824186 2535557883061
2535446952862 2535516095360 2535630832979 2535591096371
2535701971395 2535652474218 2535816616745 2535591096371
2535627007282 2535620811188 2535770673407 2535557883061
2535739274234 2535780593754 2535721253111 2535807533630
2535778756415 2535710481438 2535741836378 2535856440666
2535597329798 2535453235052 2535595828954 2535577428430
2535729259543 2535758150162 2535689320863 2535688043815

独木星空谁 · 发表于 2021-10-13 20:33

总能开辟一个新的战场，当觉着那个东东在也没有什么秘密的时候，好奇心的缺失，会对它不再感兴趣，这时需要新的替代品，这不，由于\(P_i+mP_j\)=2N+mod(m-1,2)的出现，以前那些宠物都被抛开了，把全部身心都用在新生儿身上了，要让他苗壮成长，长成参天大树，根深叶茂。

独木星空谁 · 发表于 2021-10-13 20:37

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 2766195120279 8.33% 8.33333% 0.000003% 0.00003%
1 2535669097485 7.64% 7.63886% 0.000032% 0.00042%
2 2535632668482 7.64% 7.63875% 0.000142% 0.00185%
3 2535961275499 7.64% 7.63974% -0.000848% -0.01111%
4 2535805683118 7.64% 7.63927% -0.000380% -0.00497%
5 2535384075056 7.64% 7.63800% 0.000891% 0.01166%
6 2535509960932 7.64% 7.63838% 0.000511% 0.00669%
7 2535672234828 7.64% 7.63887% 0.000022% 0.00029%
8 2535731531650 7.64% 7.63905% -0.000156% -0.00204%
9 2535809320209 7.64% 7.63928% -0.000391% -0.00511%
10 2535751885891 7.64% 7.63911% -0.000218% -0.00285%
11 2535522486659 7.64% 7.63842% 0.000474% 0.00620%
12 2535706854028 7.64% 7.63897% -0.000082% -0.00107%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%
绝对误差5个数量级；相对误差4个数量级。这也仅仅是在1亿范围内，可以说已经相当有精度了。

独木星空谁 · 发表于 2021-10-13 20:39

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 2766194895120 8.33% 8.33333% 0.000003% 0.00004%
1 2535670743717 7.64% 7.63886% 0.000027% 0.00035%
2 2535651172352 7.64% 7.63880% 0.000086% 0.00112%
3 2535846483367 7.64% 7.63939% -0.000503% -0.00658%
4 2535719231182 7.64% 7.63901% -0.000119% -0.00156%
5 2535596772459 7.64% 7.63864% 0.000250% 0.00327%
6 2535735482880 7.64% 7.63906% -0.000168% -0.00220%
7 2535711998944 7.64% 7.63899% -0.000097% -0.00127%
8 2535768691193 7.64% 7.63916% -0.000268% -0.00351%
9 2535665995172 7.64% 7.63885% 0.000041% 0.00054%
10 2535568024117 7.64% 7.63855% 0.000336% 0.00440%
11 2535614486975 7.64% 7.63869% 0.000196% 0.00257%
12 2535608216638 7.64% 7.63867% 0.000215% 0.00282%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%
我们可以追求精益求精，但是世间没有那样完美。

独木星空谁 · 发表于 2021-10-13 20:40

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 2766194895120 8.33% 8.33333% 0.000003% 0.00004%
1 2535670743717 7.64% 7.63886% 0.000027% 0.00035%
2 2535651172352 7.64% 7.63880% 0.000086% 0.00112%
3 2535846483367 7.64% 7.63939% -0.000503% -0.00658%
4 2535719231182 7.64% 7.63901% -0.000119% -0.00156%
5 2535596772459 7.64% 7.63864% 0.000250% 0.00327%
6 2535735482880 7.64% 7.63906% -0.000168% -0.00220%
7 2535711998944 7.64% 7.63899% -0.000097% -0.00127%
8 2535768691193 7.64% 7.63916% -0.000268% -0.00351%
9 2535665995172 7.64% 7.63885% 0.000041% 0.00054%
10 2535568024117 7.64% 7.63855% 0.000336% 0.00440%
11 2535614486975 7.64% 7.63869% 0.000196% 0.00257%
12 2535608216638 7.64% 7.63867% 0.000215% 0.00282%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%
我们可以追求精益求精，但是世间没有那样完美。

独木星空谁 · 发表于 2021-10-13 20:41

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 2766195184353 8.33% 8.33333% 0.000003% 0.00003%
1 2535739274234 7.64% 7.63907% -0.000180% -0.00235%
2 2535508380892 7.64% 7.63837% 0.000516% 0.00676%
3 2535815230258 7.64% 7.63930% -0.000408% -0.00535%
4 2535778756415 7.64% 7.63919% -0.000298% -0.00391%
5 2535446952862 7.64% 7.63819% 0.000701% 0.00918%
6 2535571271879 7.64% 7.63856% 0.000327% 0.00428%
7 2535597329798 7.64% 7.63864% 0.000248% 0.00325%
8 2535701971395 7.64% 7.63896% -0.000067% -0.00088%
9 2535885293829 7.64% 7.63951% -0.000619% -0.00811%
10 2535729259543 7.64% 7.63904% -0.000149% -0.00196%
11 2535627007282 7.64% 7.63873% 0.000159% 0.00208%
12 2535756281376 7.64% 7.63912% -0.000231% -0.00302%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-13 20:41

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 2766195176680 8.33% 8.33333% 0.000003% 0.00003%
1 2535710481438 7.64% 7.63898% -0.000093% -0.00121%
2 2535652474218 7.64% 7.63881% 0.000082% 0.00107%
3 2535883464020 7.64% 7.63950% -0.000614% -0.00804%
4 2535737375215 7.64% 7.63906% -0.000174% -0.00228%
5 2535453235052 7.64% 7.63821% 0.000682% 0.00893%
6 2535620811188 7.64% 7.63871% 0.000177% 0.00232%
7 2535528130272 7.64% 7.63843% 0.000457% 0.00598%
8 2535682158776 7.64% 7.63890% -0.000007% -0.00010%
9 2535758150162 7.64% 7.63913% -0.000236% -0.00309%
10 2535780593754 7.64% 7.63919% -0.000304% -0.00398%
11 2535516095360 7.64% 7.63840% 0.000493% 0.00645%
12 2535834047981 7.64% 7.63935% -0.000465% -0.00609%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-13 20:42

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 2766194924023 8.33% 8.33333% 0.000003% 0.00004%
1 2535700541433 7.64% 7.63895% -0.000063% -0.00082%
2 2535796974996 7.64% 7.63924% -0.000353% -0.00463%
3 2535741742605 7.64% 7.63908% -0.000187% -0.00245%
4 2535657831990 7.64% 7.63882% 0.000066% 0.00086%
5 2535526820747 7.64% 7.63843% 0.000461% 0.00603%
6 2535659657363 7.64% 7.63883% 0.000060% 0.00079%
7 2535738714116 7.64% 7.63907% -0.000178% -0.00233%
8 2535719146985 7.64% 7.63901% -0.000119% -0.00156%
9 2535740895506 7.64% 7.63907% -0.000184% -0.00241%
10 2535692491192 7.64% 7.63893% -0.000039% -0.00051%
11 2535637125059 7.64% 7.63876% 0.000128% 0.00168%
12 2535545328101 7.64% 7.63848% 0.000405% 0.00530%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-13 20:42

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 2766194924210 8.33% 8.33333% 0.000003% 0.00004%
1 2535595828954 7.64% 7.63864% 0.000253% 0.00331%
2 2535721253111 7.64% 7.63901% -0.000125% -0.00164%
3 2535816616745 7.64% 7.63930% -0.000413% -0.00540%
4 2535594824186 7.64% 7.63863% 0.000256% 0.00335%
5 2535672667668 7.64% 7.63887% 0.000021% 0.00028%
6 2535589632802 7.64% 7.63862% 0.000271% 0.00355%
7 2535689320863 7.64% 7.63892% -0.000029% -0.00038%
8 2535741836378 7.64% 7.63908% -0.000187% -0.00245%
9 2535770673407 7.64% 7.63916% -0.000274% -0.00359%
10 2535630832979 7.64% 7.63874% 0.000147% 0.00193%
11 2535663980631 7.64% 7.63884% 0.000047% 0.00062%
12 2535669802182 7.64% 7.63886% 0.000030% 0.00039%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-13 20:43

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 2766194895120 8.33% 8.33333% 0.000003% 0.00004%
1 2535651172352 7.64% 7.63880% 0.000086% 0.00112%
2 2535719231182 7.64% 7.63901% -0.000119% -0.00156%
3 2535735482880 7.64% 7.63906% -0.000168% -0.00220%
4 2535768691193 7.64% 7.63916% -0.000268% -0.00351%
5 2535568024117 7.64% 7.63855% 0.000336% 0.00440%
6 2535608216638 7.64% 7.63867% 0.000215% 0.00282%
7 2535670743717 7.64% 7.63886% 0.000027% 0.00035%
8 2535846483367 7.64% 7.63939% -0.000503% -0.00658%
9 2535596772459 7.64% 7.63864% 0.000250% 0.00327%
10 2535711998944 7.64% 7.63899% -0.000097% -0.00127%
11 2535665995172 7.64% 7.63885% 0.000041% 0.00054%
12 2535614486975 7.64% 7.63869% 0.000196% 0.00257%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

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