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 2021-10-14 20:05

素数31 统计1+12 理论占比实际占比占比绝对误差相对误差
0 1106477992335 3.33% 3.33333% 0.000001% 0.00004%
1 1069627214282 3.22% 3.22232% -0.000095% -0.00294%
2 1069643800376 3.22% 3.22237% -0.000145% -0.00449%
3 1069562040366 3.22% 3.22212% 0.000102% 0.00316%
4 1069563441798 3.22% 3.22212% 0.000097% 0.00302%
5 1069568096063 3.22% 3.22214% 0.000083% 0.00259%
6 1069570278073 3.22% 3.22215% 0.000077% 0.00239%
7 1069521289363 3.22% 3.22200% 0.000224% 0.00697%
8 1069534293824 3.22% 3.22204% 0.000185% 0.00575%
9 1069575419634 3.22% 3.22216% 0.000061% 0.00190%
10 1069614410279 3.22% 3.22228% -0.000056% -0.00174%
11 1069588850540 3.22% 3.22220% 0.000021% 0.00065%
12 1069587192674 3.22% 3.22220% 0.000026% 0.00080%
13 1069643052378 3.22% 3.22236% -0.000142% -0.00442%
14 1069638675965 3.22% 3.22235% -0.000129% -0.00401%
15 1069573638219 3.22% 3.22216% 0.000067% 0.00207%
16 1069586592677 3.22% 3.22219% 0.000028% 0.00086%
17 1069584749081 3.22% 3.22219% 0.000033% 0.00103%
18 1069611328237 3.22% 3.22227% -0.000047% -0.00145%
19 1069619062500 3.22% 3.22229% -0.000070% -0.00218%
20 1069594439382 3.22% 3.22222% 0.000004% 0.00013%
21 1069596567552 3.22% 3.22222% -0.000002% -0.00007%
22 1069567342708 3.22% 3.22214% 0.000086% 0.00266%
23 1069624572485 3.22% 3.22231% -0.000087% -0.00269%
24 1069604431333 3.22% 3.22225% -0.000026% -0.00081%
25 1069607036429 3.22% 3.22226% -0.000034% -0.00105%
26 1069673218584 3.22% 3.22246% -0.000233% -0.00724%
27 1069628448187 3.22% 3.22232% -0.000098% -0.00305%
28 1069631968363 3.22% 3.22233% -0.000109% -0.00338%
29 1069545844093 3.22% 3.22207% 0.000150% 0.00467%
30 1069586906336 3.22% 3.22220% 0.000027% 0.00083%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-14 20:06

素数31 统计1+13 理论占比实际占比占比绝对误差相对误差
0 1106477992335 3.33% 3.33333% 0.000001% 0.00004%
1 1069587192674 3.22% 3.22220% 0.000026% 0.00080%
2 1069604431333 3.22% 3.22225% -0.000026% -0.00081%
3 1069568096063 3.22% 3.22214% 0.000083% 0.00259%
4 1069584749081 3.22% 3.22219% 0.000033% 0.00103%
5 1069545844093 3.22% 3.22207% 0.000150% 0.00467%
6 1069614410279 3.22% 3.22228% -0.000056% -0.00174%
7 1069567342708 3.22% 3.22214% 0.000086% 0.00266%
8 1069562040366 3.22% 3.22212% 0.000102% 0.00316%
9 1069573638219 3.22% 3.22216% 0.000067% 0.00207%
10 1069628448187 3.22% 3.22232% -0.000098% -0.00305%
11 1069534293824 3.22% 3.22204% 0.000185% 0.00575%
12 1069594439382 3.22% 3.22222% 0.000004% 0.00013%
13 1069627214282 3.22% 3.22232% -0.000095% -0.00294%
14 1069643052378 3.22% 3.22236% -0.000142% -0.00442%
15 1069607036429 3.22% 3.22226% -0.000034% -0.00105%
16 1069570278073 3.22% 3.22215% 0.000077% 0.00239%
17 1069611328237 3.22% 3.22227% -0.000047% -0.00145%
18 1069586906336 3.22% 3.22220% 0.000027% 0.00083%
19 1069588850540 3.22% 3.22220% 0.000021% 0.00065%
20 1069624572485 3.22% 3.22231% -0.000087% -0.00269%
21 1069563441798 3.22% 3.22212% 0.000097% 0.00302%
22 1069586592677 3.22% 3.22219% 0.000028% 0.00086%
23 1069631968363 3.22% 3.22233% -0.000109% -0.00338%
24 1069575419634 3.22% 3.22216% 0.000061% 0.00190%
25 1069596567552 3.22% 3.22222% -0.000002% -0.00007%
26 1069643800376 3.22% 3.22237% -0.000145% -0.00449%
27 1069638675965 3.22% 3.22235% -0.000129% -0.00401%
28 1069673218584 3.22% 3.22246% -0.000233% -0.00724%
29 1069521289363 3.22% 3.22200% 0.000224% 0.00697%
30 1069619062500 3.22% 3.22229% -0.000070% -0.00218%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-14 20:06

素数31 统计1+14 理论占比实际占比占比绝对误差相对误差
0 1106477897881 3.33% 3.33333% 0.000002% 0.00005%
1 1069639729470 3.22% 3.22235% -0.000132% -0.00411%
2 1069573888562 3.22% 3.22216% 0.000066% 0.00205%
3 1069547981768 3.22% 3.22208% 0.000144% 0.00447%
4 1069572501185 3.22% 3.22215% 0.000070% 0.00218%
5 1069541474456 3.22% 3.22206% 0.000164% 0.00508%
6 1069599372911 3.22% 3.22223% -0.000011% -0.00033%
7 1069536127741 3.22% 3.22204% 0.000180% 0.00558%
8 1069559960840 3.22% 3.22211% 0.000108% 0.00335%
9 1069578579816 3.22% 3.22217% 0.000052% 0.00161%
10 1069653870142 3.22% 3.22240% -0.000175% -0.00543%
11 1069542620609 3.22% 3.22206% 0.000160% 0.00497%
12 1069572010787 3.22% 3.22215% 0.000072% 0.00222%
13 1069581941090 3.22% 3.22218% 0.000042% 0.00130%
14 1069648241697 3.22% 3.22238% -0.000158% -0.00490%
15 1069591710737 3.22% 3.22221% 0.000012% 0.00038%
16 1069599433599 3.22% 3.22223% -0.000011% -0.00034%
17 1069599242129 3.22% 3.22223% -0.000010% -0.00032%
18 1069631128591 3.22% 3.22233% -0.000106% -0.00330%
19 1069608604598 3.22% 3.22226% -0.000039% -0.00120%
20 1069654427113 3.22% 3.22240% -0.000177% -0.00548%
21 1069602199083 3.22% 3.22224% -0.000019% -0.00060%
22 1069601435251 3.22% 3.22224% -0.000017% -0.00053%
23 1069643403986 3.22% 3.22237% -0.000143% -0.00445%
24 1069604092772 3.22% 3.22225% -0.000025% -0.00078%
25 1069578903296 3.22% 3.22217% 0.000051% 0.00158%
26 1069645278987 3.22% 3.22237% -0.000149% -0.00463%
27 1069617501968 3.22% 3.22229% -0.000065% -0.00203%
28 1069632272896 3.22% 3.22233% -0.000110% -0.00341%
29 1069571750947 3.22% 3.22215% 0.000072% 0.00225%
30 1069544609208 3.22% 3.22207% 0.000154% 0.00479%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-14 20:07

素数31 统计1+15 理论占比实际占比占比绝对误差相对误差
0 1106478005014 3.33% 3.33333% 0.000001% 0.00004%
1 1069579123691 3.22% 3.22217% 0.000050% 0.00156%
2 1069607988207 3.22% 3.22226% -0.000037% -0.00114%
3 1069591295816 3.22% 3.22221% 0.000014% 0.00042%
4 1069574083814 3.22% 3.22216% 0.000065% 0.00203%
5 1069573520781 3.22% 3.22216% 0.000067% 0.00208%
6 1069624206594 3.22% 3.22231% -0.000086% -0.00266%
7 1069570214400 3.22% 3.22215% 0.000077% 0.00239%
8 1069578155420 3.22% 3.22217% 0.000053% 0.00165%
9 1069583543300 3.22% 3.22219% 0.000037% 0.00115%
10 1069579161502 3.22% 3.22217% 0.000050% 0.00155%
11 1069529597427 3.22% 3.22202% 0.000199% 0.00619%
12 1069529445706 3.22% 3.22202% 0.000200% 0.00620%
13 1069594062697 3.22% 3.22222% 0.000005% 0.00016%
14 1069617120146 3.22% 3.22229% -0.000064% -0.00199%
15 1069617280613 3.22% 3.22229% -0.000065% -0.00201%
16 1069565073459 3.22% 3.22213% 0.000093% 0.00287%
17 1069642693586 3.22% 3.22236% -0.000141% -0.00438%
18 1069641860505 3.22% 3.22236% -0.000139% -0.00431%
19 1069634691406 3.22% 3.22234% -0.000117% -0.00364%
20 1069632418341 3.22% 3.22233% -0.000110% -0.00342%
21 1069614133904 3.22% 3.22228% -0.000055% -0.00171%
22 1069608389268 3.22% 3.22226% -0.000038% -0.00118%
23 1069578743357 3.22% 3.22217% 0.000051% 0.00159%
24 1069634806966 3.22% 3.22234% -0.000118% -0.00365%
25 1069576912882 3.22% 3.22217% 0.000057% 0.00177%
26 1069664067702 3.22% 3.22243% -0.000206% -0.00638%
27 1069583632558 3.22% 3.22219% 0.000037% 0.00114%
28 1069623417001 3.22% 3.22231% -0.000083% -0.00258%
29 1069535724127 3.22% 3.22204% 0.000181% 0.00562%
30 1069588823926 3.22% 3.22220% 0.000021% 0.00065%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-14 20:07

素数31 统计1+16 理论占比实际占比占比绝对误差相对误差
0 1106478054858 3.33% 3.33333% 0.000001% 0.00003%
1 1069617666792 3.22% 3.22229% -0.000066% -0.00205%
2 1069574568884 3.22% 3.22216% 0.000064% 0.00198%
3 1069577624320 3.22% 3.22217% 0.000055% 0.00170%
4 1069550128982 3.22% 3.22208% 0.000138% 0.00427%
5 1069604755156 3.22% 3.22225% -0.000027% -0.00084%
6 1069563586871 3.22% 3.22213% 0.000097% 0.00301%
7 1069590445406 3.22% 3.22221% 0.000016% 0.00050%
8 1069554749369 3.22% 3.22210% 0.000124% 0.00384%
9 1069571924210 3.22% 3.22215% 0.000072% 0.00223%
10 1069645373510 3.22% 3.22237% -0.000149% -0.00464%
11 1069566317564 3.22% 3.22213% 0.000089% 0.00276%
12 1069573785791 3.22% 3.22216% 0.000066% 0.00206%
13 1069653431187 3.22% 3.22240% -0.000174% -0.00539%
14 1069662705638 3.22% 3.22242% -0.000202% -0.00626%
15 1069588505745 3.22% 3.22220% 0.000022% 0.00068%
16 1069593704163 3.22% 3.22222% 0.000006% 0.00020%
17 1069596939054 3.22% 3.22223% -0.000003% -0.00011%
18 1069582418958 3.22% 3.22218% 0.000040% 0.00125%
19 1069590022666 3.22% 3.22220% 0.000017% 0.00054%
20 1069595970048 3.22% 3.22222% -0.000001% -0.00002%
21 1069547650823 3.22% 3.22208% 0.000145% 0.00450%
22 1069619918904 3.22% 3.22229% -0.000073% -0.00226%
23 1069602071775 3.22% 3.22224% -0.000019% -0.00059%
24 1069614881001 3.22% 3.22228% -0.000058% -0.00178%
25 1069637593658 3.22% 3.22235% -0.000126% -0.00391%
26 1069632928478 3.22% 3.22233% -0.000112% -0.00347%
27 1069607748208 3.22% 3.22226% -0.000036% -0.00112%
28 1069636936221 3.22% 3.22235% -0.000124% -0.00385%
29 1069569488059 3.22% 3.22214% 0.000079% 0.00246%
30 1069550297817 3.22% 3.22209% 0.000137% 0.00425%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-14 20:08

素数31 统计1+17 理论占比实际占比占比绝对误差相对误差
0 1106478119475 3.33% 3.33333% 0.000001% 0.00003%
1 1069573519094 3.22% 3.22216% 0.000067% 0.00208%
2 1069610396836 3.22% 3.22227% -0.000044% -0.00137%
3 1069586623994 3.22% 3.22219% 0.000028% 0.00086%
4 1069584257371 3.22% 3.22219% 0.000035% 0.00108%
5 1069586120458 3.22% 3.22219% 0.000029% 0.00090%
6 1069565636746 3.22% 3.22213% 0.000091% 0.00282%
7 1069559437868 3.22% 3.22211% 0.000110% 0.00340%
8 1069619494352 3.22% 3.22229% -0.000071% -0.00222%
9 1069565087358 3.22% 3.22213% 0.000093% 0.00287%
10 1069633707876 3.22% 3.22234% -0.000114% -0.00354%
11 1069587953683 3.22% 3.22220% 0.000024% 0.00073%
12 1069547971077 3.22% 3.22208% 0.000144% 0.00447%
13 1069642633678 3.22% 3.22236% -0.000141% -0.00438%
14 1069619370145 3.22% 3.22229% -0.000071% -0.00220%
15 1069622651725 3.22% 3.22230% -0.000081% -0.00251%
16 1069568125764 3.22% 3.22214% 0.000083% 0.00259%
17 1069627988875 3.22% 3.22232% -0.000097% -0.00301%
18 1069570455615 3.22% 3.22215% 0.000076% 0.00237%
19 1069632523811 3.22% 3.22233% -0.000111% -0.00343%
20 1069608458862 3.22% 3.22226% -0.000038% -0.00118%
21 1069622431707 3.22% 3.22230% -0.000080% -0.00249%
22 1069614997997 3.22% 3.22228% -0.000058% -0.00180%
23 1069584016802 3.22% 3.22219% 0.000035% 0.00110%
24 1069580556453 3.22% 3.22218% 0.000046% 0.00142%
25 1069612695496 3.22% 3.22227% -0.000051% -0.00158%
26 1069600724679 3.22% 3.22224% -0.000015% -0.00046%
27 1069606247831 3.22% 3.22225% -0.000031% -0.00098%
28 1069593650180 3.22% 3.22222% 0.000006% 0.00020%
29 1069535244691 3.22% 3.22204% 0.000182% 0.00566%
30 1069611093617 3.22% 3.22227% -0.000046% -0.00143%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-14 20:08

素数31 统计1+18 理论占比实际占比占比绝对误差相对误差
0 1106478083143 3.33% 3.33333% 0.000001% 0.00003%
1 1069647778162 3.22% 3.22238% -0.000157% -0.00486%
2 1069559836996 3.22% 3.22211% 0.000108% 0.00336%
3 1069627451097 3.22% 3.22232% -0.000095% -0.00296%
4 1069605019400 3.22% 3.22225% -0.000028% -0.00086%
5 1069584456991 3.22% 3.22219% 0.000034% 0.00106%
6 1069583123076 3.22% 3.22218% 0.000038% 0.00118%
7 1069530837637 3.22% 3.22203% 0.000196% 0.00607%
8 1069607849788 3.22% 3.22226% -0.000036% -0.00113%
9 1069550003844 3.22% 3.22208% 0.000138% 0.00428%
10 1069594841334 3.22% 3.22222% 0.000003% 0.00009%
11 1069558371719 3.22% 3.22211% 0.000113% 0.00350%
12 1069528055749 3.22% 3.22202% 0.000204% 0.00633%
13 1069598552563 3.22% 3.22223% -0.000008% -0.00026%
14 1069631560000 3.22% 3.22233% -0.000108% -0.00334%
15 1069593612559 3.22% 3.22222% 0.000007% 0.00020%
16 1069583688733 3.22% 3.22219% 0.000036% 0.00113%
17 1069622858813 3.22% 3.22230% -0.000082% -0.00253%
18 1069615916024 3.22% 3.22228% -0.000061% -0.00188%
19 1069655116687 3.22% 3.22240% -0.000179% -0.00555%
20 1069600627584 3.22% 3.22224% -0.000015% -0.00045%
21 1069597140999 3.22% 3.22223% -0.000004% -0.00013%
22 1069610019002 3.22% 3.22227% -0.000043% -0.00133%
23 1069586181799 3.22% 3.22219% 0.000029% 0.00090%
24 1069611924450 3.22% 3.22227% -0.000049% -0.00151%
25 1069627788103 3.22% 3.22232% -0.000096% -0.00299%
26 1069605129930 3.22% 3.22225% -0.000028% -0.00087%
27 1069618434015 3.22% 3.22229% -0.000068% -0.00212%
28 1069613829128 3.22% 3.22228% -0.000054% -0.00169%
29 1069565827971 3.22% 3.22213% 0.000090% 0.00280%
30 1069558276820 3.22% 3.22211% 0.000113% 0.00351%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-14 20:09

素数31 统计1+19 理论占比实际占比占比绝对误差相对误差
0 1106478083143 3.33% 3.33333% 0.000001% 0.00003%
1 1069615916024 3.22% 3.22228% -0.000061% -0.00188%
2 1069584456991 3.22% 3.22219% 0.000034% 0.00106%
3 1069586181799 3.22% 3.22219% 0.000029% 0.00090%
4 1069594841334 3.22% 3.22222% 0.000003% 0.00009%
5 1069613829128 3.22% 3.22228% -0.000054% -0.00169%
6 1069593612559 3.22% 3.22222% 0.000007% 0.00020%
7 1069559836996 3.22% 3.22211% 0.000108% 0.00336%
8 1069600627584 3.22% 3.22224% -0.000015% -0.00045%
9 1069530837637 3.22% 3.22203% 0.000196% 0.00607%
10 1069627788103 3.22% 3.22232% -0.000096% -0.00299%
11 1069528055749 3.22% 3.22202% 0.000204% 0.00633%
12 1069558276820 3.22% 3.22211% 0.000113% 0.00351%
13 1069622858813 3.22% 3.22230% -0.000082% -0.00253%
14 1069605019400 3.22% 3.22225% -0.000028% -0.00086%
15 1069610019002 3.22% 3.22227% -0.000043% -0.00133%
16 1069550003844 3.22% 3.22208% 0.000138% 0.00428%
17 1069618434015 3.22% 3.22229% -0.000068% -0.00212%
18 1069631560000 3.22% 3.22233% -0.000108% -0.00334%
19 1069647778162 3.22% 3.22238% -0.000157% -0.00486%
20 1069655116687 3.22% 3.22240% -0.000179% -0.00555%
21 1069583123076 3.22% 3.22218% 0.000038% 0.00118%
22 1069611924450 3.22% 3.22227% -0.000049% -0.00151%
23 1069558371719 3.22% 3.22211% 0.000113% 0.00350%
24 1069565827971 3.22% 3.22213% 0.000090% 0.00280%
25 1069583688733 3.22% 3.22219% 0.000036% 0.00113%
26 1069627451097 3.22% 3.22232% -0.000095% -0.00296%
27 1069597140999 3.22% 3.22223% -0.000004% -0.00013%
28 1069607849788 3.22% 3.22226% -0.000036% -0.00113%
29 1069605129930 3.22% 3.22225% -0.000028% -0.00087%
30 1069598552563 3.22% 3.22223% -0.000008% -0.00026%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-14 21:23

针对素31 针对素31 针对素31 针对素31 针对素31
统计2+1 统计2+2 统计2+3 统计2+4 统计2+5
1106478054858 1106477810737 1106478119475 1106478054858 1106478083143
1069593704163 1069555436535 1069568125764 1069554749369 1069583688733
1069617666792 1069632425326 1069573519094 1069593704163 1069647778162
1069596939054 1069623583140 1069627988875 1069614881001 1069622858813
1069574568884 1069602865215 1069610396836 1069617666792 1069559836996
1069582418958 1069599015341 1069570455615 1069571924210 1069615916024
1069577624320 1069570228940 1069586623994 1069596939054 1069627451097
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独木星空谁 · 发表于 2021-10-14 21:24

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