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 2021-10-20 18:43

素数29 统计6+17 理论占比实际占比占比绝对误差相对误差
0 1185512156492 0.00% 3.57143% -3.571427% 0.00000%
1 1143194236966 3.57% 3.44394% 0.127487% 3.56962%
2 1143177461971 3.57% 3.44389% 0.127537% 3.57104%
3 1143148844614 3.57% 3.44381% 0.127623% 3.57345%
4 1143187691743 3.57% 3.44392% 0.127506% 3.57018%
5 1143237649625 3.57% 3.44407% 0.127356% 3.56596%
6 1143152187302 3.57% 3.44382% 0.127613% 3.57317%
7 1143123590123 3.57% 3.44373% 0.127699% 3.57558%
8 1143148205912 3.57% 3.44380% 0.127625% 3.57351%
9 1143211985229 3.57% 3.44400% 0.127433% 3.56813%
10 1143134207814 3.57% 3.44376% 0.127667% 3.57469%
11 1143135442067 3.57% 3.44376% 0.127664% 3.57458%
12 1143167055359 3.57% 3.44386% 0.127568% 3.57192%
13 1143181919885 3.57% 3.44390% 0.127524% 3.57066%
14 1143172985375 3.57% 3.44388% 0.127551% 3.57142%
15 1143170414295 3.57% 3.44387% 0.127558% 3.57163%
16 1143197761314 3.57% 3.44395% 0.127476% 3.56933%
17 1143146022754 3.57% 3.44380% 0.127632% 3.57369%
18 1143222886382 3.57% 3.44403% 0.127400% 3.56721%
19 1143228096056 3.57% 3.44404% 0.127385% 3.56677%
20 1143187194164 3.57% 3.44392% 0.127508% 3.57022%
21 1143216202098 3.57% 3.44401% 0.127420% 3.56777%
22 1143204113243 3.57% 3.44397% 0.127457% 3.56879%
23 1143124483344 3.57% 3.44373% 0.127697% 3.57551%
24 1143115339942 3.57% 3.44370% 0.127724% 3.57628%
25 1143137105814 3.57% 3.44377% 0.127659% 3.57444%
26 1143182211696 3.57% 3.44391% 0.127523% 3.57064%
27 1143170069021 3.57% 3.44387% 0.127559% 3.57166%
28 1143164673516 3.57% 3.44385% 0.127576% 3.57212%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99996%

独木星空谁 · 发表于 2021-10-20 18:44

素数29 统计6+18 理论占比实际占比占比绝对误差相对误差
0 1185512201297 0.00% 3.57143% -3.571427% 0.00000%
1 1143195556428 3.57% 3.44395% 0.127483% 3.56951%
2 1143175947903 3.57% 3.44389% 0.127542% 3.57117%
3 1143156418294 3.57% 3.44383% 0.127601% 3.57281%
4 1143136839645 3.57% 3.44377% 0.127659% 3.57447%
5 1143236717751 3.57% 3.44407% 0.127359% 3.56604%
6 1143147884658 3.57% 3.44380% 0.127626% 3.57353%
7 1143203800480 3.57% 3.44397% 0.127458% 3.56882%
8 1143168340040 3.57% 3.44386% 0.127565% 3.57181%
9 1143172820723 3.57% 3.44388% 0.127551% 3.57143%
10 1143187955871 3.57% 3.44392% 0.127505% 3.57015%
11 1143086909854 3.57% 3.44362% 0.127810% 3.57868%
12 1143217060497 3.57% 3.44401% 0.127418% 3.56770%
13 1143186564614 3.57% 3.44392% 0.127510% 3.57027%
14 1143132808822 3.57% 3.44376% 0.127672% 3.57481%
15 1143204283189 3.57% 3.44397% 0.127456% 3.56878%
16 1143165341715 3.57% 3.44385% 0.127574% 3.57206%
17 1143135558451 3.57% 3.44377% 0.127663% 3.57457%
18 1143194636389 3.57% 3.44394% 0.127485% 3.56959%
19 1143189265275 3.57% 3.44393% 0.127502% 3.57004%
20 1143180225764 3.57% 3.44390% 0.127529% 3.57081%
21 1143202891676 3.57% 3.44397% 0.127460% 3.56889%
22 1143155542484 3.57% 3.44383% 0.127603% 3.57289%
23 1143137825150 3.57% 3.44377% 0.127657% 3.57438%
24 1143128078732 3.57% 3.44374% 0.127686% 3.57520%
25 1143184081648 3.57% 3.44391% 0.127517% 3.57048%
26 1143181525333 3.57% 3.44390% 0.127525% 3.57070%
27 1143186432964 3.57% 3.44392% 0.127510% 3.57028%
28 1143188678469 3.57% 3.44393% 0.127503% 3.57009%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99997%

独木星空谁 · 发表于 2021-10-20 18:46

素数29 统计6+19 理论占比实际占比占比绝对误差相对误差
0 1185512224657 0.00% 3.57143% -3.571428% 0.00000%
1 1143119030269 3.57% 3.44372% 0.127713% 3.57597%
2 1143157243182 3.57% 3.44383% 0.127598% 3.57274%
3 1143174227038 3.57% 3.44388% 0.127547% 3.57131%
4 1143183714770 3.57% 3.44391% 0.127518% 3.57051%
5 1143220965505 3.57% 3.44402% 0.127406% 3.56737%
6 1143158851383 3.57% 3.44384% 0.127593% 3.57261%
7 1143194313589 3.57% 3.44394% 0.127486% 3.56962%
8 1143189657158 3.57% 3.44393% 0.127500% 3.57001%
9 1143215552900 3.57% 3.44401% 0.127422% 3.56783%
10 1143163371574 3.57% 3.44385% 0.127580% 3.57223%
11 1143157249939 3.57% 3.44383% 0.127598% 3.57274%
12 1143198863052 3.57% 3.44396% 0.127473% 3.56923%
13 1143162457279 3.57% 3.44385% 0.127582% 3.57230%
14 1143210697544 3.57% 3.44399% 0.127437% 3.56824%
15 1143163330760 3.57% 3.44385% 0.127580% 3.57223%
16 1143178053273 3.57% 3.44389% 0.127535% 3.57099%
17 1143169155182 3.57% 3.44387% 0.127562% 3.57174%
18 1143163907408 3.57% 3.44385% 0.127578% 3.57218%
19 1143159168198 3.57% 3.44384% 0.127592% 3.57258%
20 1143174196490 3.57% 3.44388% 0.127547% 3.57131%
21 1143197327651 3.57% 3.44395% 0.127477% 3.56936%
22 1143174236636 3.57% 3.44388% 0.127547% 3.57131%
23 1143166224821 3.57% 3.44386% 0.127571% 3.57199%
24 1143095005326 3.57% 3.44364% 0.127786% 3.57799%
25 1143152913392 3.57% 3.44382% 0.127611% 3.57311%
26 1143141461159 3.57% 3.44378% 0.127646% 3.57408%
27 1143174615431 3.57% 3.44388% 0.127546% 3.57128%
28 1143224178550 3.57% 3.44403% 0.127396% 3.56710%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99997%
以上各楼又出现了低级错误，没有把余数的理论占比给改写正确。请见谅！

独木星空谁 · 发表于 2021-10-20 18:47

素数29 统计6+20 理论占比实际占比占比绝对误差相对误差
0 1185512172310 3.57% 3.57143% 0.000001% 0.00003%
1 1143224420943 3.44% 3.44403% -0.000155% -0.00451%
2 1143195822706 3.44% 3.44395% -0.000069% -0.00201%
3 1143118585537 3.44% 3.44371% 0.000163% 0.00475%
4 1143230243155 3.44% 3.44405% -0.000173% -0.00502%
5 1143245483813 3.44% 3.44410% -0.000219% -0.00635%
6 1143135998598 3.44% 3.44377% 0.000111% 0.00322%
7 1143250651077 3.44% 3.44411% -0.000234% -0.00681%
8 1143176061998 3.44% 3.44389% -0.000010% -0.00028%
9 1143192384325 3.44% 3.44394% -0.000059% -0.00171%
10 1143144026865 3.44% 3.44379% 0.000087% 0.00252%
11 1143110336390 3.44% 3.44369% 0.000188% 0.00547%
12 1143189871558 3.44% 3.44393% -0.000051% -0.00149%
13 1143200297011 3.44% 3.44396% -0.000083% -0.00240%
14 1143182011627 3.44% 3.44391% -0.000028% -0.00080%
15 1143147808477 3.44% 3.44380% 0.000075% 0.00219%
16 1143206051654 3.44% 3.44398% -0.000100% -0.00290%
17 1143158641857 3.44% 3.44383% 0.000043% 0.00124%
18 1143194232847 3.44% 3.44394% -0.000064% -0.00187%
19 1143164633951 3.44% 3.44385% 0.000025% 0.00072%
20 1143174689199 3.44% 3.44388% -0.000006% -0.00016%
21 1143156579261 3.44% 3.44383% 0.000049% 0.00142%
22 1143125241202 3.44% 3.44373% 0.000143% 0.00416%
23 1143193547513 3.44% 3.44394% -0.000062% -0.00181%
24 1143138744976 3.44% 3.44377% 0.000103% 0.00298%
25 1143145407387 3.44% 3.44379% 0.000083% 0.00240%
26 1143153189554 3.44% 3.44382% 0.000059% 0.00172%
27 1143081089666 3.44% 3.44360% 0.000276% 0.00803%
28 1143203968659 3.44% 3.44397% -0.000094% -0.00272%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-20 18:47

素数29 统计6+21 理论占比实际占比占比绝对误差相对误差
0 1185511975239 3.57% 3.57143% 0.000002% 0.00005%
1 1143198379334 3.44% 3.44395% -0.000077% -0.00223%
2 1143170828801 3.44% 3.44387% 0.000006% 0.00018%
3 1143194811867 3.44% 3.44394% -0.000066% -0.00192%
4 1143200495427 3.44% 3.44396% -0.000083% -0.00242%
5 1143263617598 3.44% 3.44415% -0.000273% -0.00794%
6 1143164960412 3.44% 3.44385% 0.000024% 0.00069%
7 1143183104368 3.44% 3.44391% -0.000031% -0.00090%
8 1143157545600 3.44% 3.44383% 0.000046% 0.00134%
9 1143182322520 3.44% 3.44391% -0.000029% -0.00083%
10 1143200218506 3.44% 3.44396% -0.000082% -0.00239%
11 1143117788669 3.44% 3.44371% 0.000166% 0.00482%
12 1143196625503 3.44% 3.44395% -0.000072% -0.00208%
13 1143191497854 3.44% 3.44393% -0.000056% -0.00163%
14 1143211910006 3.44% 3.44400% -0.000118% -0.00342%
15 1143124568587 3.44% 3.44373% 0.000145% 0.00422%
16 1143176164442 3.44% 3.44389% -0.000010% -0.00029%
17 1143193315399 3.44% 3.44394% -0.000062% -0.00179%
18 1143225495712 3.44% 3.44404% -0.000159% -0.00461%
19 1143168826148 3.44% 3.44387% 0.000012% 0.00035%
20 1143191685695 3.44% 3.44393% -0.000057% -0.00165%
21 1143167905732 3.44% 3.44386% 0.000015% 0.00043%
22 1143148926314 3.44% 3.44381% 0.000072% 0.00209%
23 1143157750453 3.44% 3.44383% 0.000045% 0.00132%
24 1143057529231 3.44% 3.44353% 0.000347% 0.01009%
25 1143114977673 3.44% 3.44370% 0.000174% 0.00506%
26 1143121307306 3.44% 3.44372% 0.000155% 0.00451%
27 1143169408058 3.44% 3.44387% 0.000010% 0.00030%
28 1143188251662 3.44% 3.44392% -0.000046% -0.00135%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-20 18:48

素数29 统计6+22 理论占比实际占比占比绝对误差相对误差
0 1185512126411 3.57% 3.57143% 0.000001% 0.00004%
1 1143146245858 3.44% 3.44380% 0.000080% 0.00233%
2 1143160175095 3.44% 3.44384% 0.000038% 0.00111%
3 1143143058312 3.44% 3.44379% 0.000090% 0.00261%
4 1143242136025 3.44% 3.44409% -0.000209% -0.00606%
5 1143263828525 3.44% 3.44415% -0.000274% -0.00796%
6 1143176011841 3.44% 3.44389% -0.000010% -0.00028%
7 1143180398132 3.44% 3.44390% -0.000023% -0.00066%
8 1143207156225 3.44% 3.44398% -0.000103% -0.00300%
9 1143216879943 3.44% 3.44401% -0.000133% -0.00385%
10 1143177133783 3.44% 3.44389% -0.000013% -0.00038%
11 1143067516597 3.44% 3.44356% 0.000317% 0.00921%
12 1143161526285 3.44% 3.44384% 0.000034% 0.00099%
13 1143179139018 3.44% 3.44390% -0.000019% -0.00055%
14 1143163286150 3.44% 3.44385% 0.000029% 0.00084%
15 1143157262368 3.44% 3.44383% 0.000047% 0.00136%
16 1143211791828 3.44% 3.44399% -0.000117% -0.00341%
17 1143147491991 3.44% 3.44380% 0.000076% 0.00222%
18 1143200316137 3.44% 3.44396% -0.000083% -0.00240%
19 1143180269353 3.44% 3.44390% -0.000022% -0.00065%
20 1143204612964 3.44% 3.44397% -0.000096% -0.00278%
21 1143109548781 3.44% 3.44369% 0.000191% 0.00554%
22 1143156079152 3.44% 3.44383% 0.000051% 0.00147%
23 1143175771368 3.44% 3.44389% -0.000009% -0.00026%
24 1143105155917 3.44% 3.44367% 0.000204% 0.00592%
25 1143163886743 3.44% 3.44385% 0.000027% 0.00078%
26 1143140751682 3.44% 3.44378% 0.000097% 0.00281%
27 1143157706465 3.44% 3.44383% 0.000046% 0.00132%
28 1143244931167 3.44% 3.44409% -0.000217% -0.00631%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-20 18:48

素数29 统计6+23 理论占比实际占比占比绝对误差相对误差
0 1185512618542 3.57% 3.57143% 0.000000% 0.00000%
1 1143206672214 3.44% 3.44398% -0.000102% -0.00296%
2 1143140582864 3.44% 3.44378% 0.000097% 0.00282%
3 1143131358172 3.44% 3.44375% 0.000125% 0.00363%
4 1143184277436 3.44% 3.44391% -0.000034% -0.00100%
5 1143184680699 3.44% 3.44391% -0.000036% -0.00104%
6 1143145015541 3.44% 3.44379% 0.000084% 0.00243%
7 1143191113458 3.44% 3.44393% -0.000055% -0.00160%
8 1143180229396 3.44% 3.44390% -0.000022% -0.00065%
9 1143221686363 3.44% 3.44402% -0.000147% -0.00427%
10 1143177340382 3.44% 3.44389% -0.000014% -0.00039%
11 1143136481764 3.44% 3.44377% 0.000110% 0.00318%
12 1143168190329 3.44% 3.44386% 0.000014% 0.00041%
13 1143199790034 3.44% 3.44396% -0.000081% -0.00236%
14 1143152369135 3.44% 3.44382% 0.000062% 0.00179%
15 1143152369135 3.44% 3.44382% 0.000062% 0.00179%
16 1143199790034 3.44% 3.44396% -0.000081% -0.00236%
17 1143168190329 3.44% 3.44386% 0.000014% 0.00041%
18 1143136481764 3.44% 3.44377% 0.000110% 0.00318%
19 1143177340382 3.44% 3.44389% -0.000014% -0.00039%
20 1143221686363 3.44% 3.44402% -0.000147% -0.00427%
21 1143180229396 3.44% 3.44390% -0.000022% -0.00065%
22 1143191113458 3.44% 3.44393% -0.000055% -0.00160%
23 1143145015541 3.44% 3.44379% 0.000084% 0.00243%
24 1143184680699 3.44% 3.44391% -0.000036% -0.00104%
25 1143184277436 3.44% 3.44391% -0.000034% -0.00100%
26 1143131358172 3.44% 3.44375% 0.000125% 0.00363%
27 1143140582864 3.44% 3.44378% 0.000097% 0.00282%
28 1143206672214 3.44% 3.44398% -0.000102% -0.00296%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-20 18:48

素数29 统计6+24 理论占比实际占比占比绝对误差相对误差
0 1185512191410 3.57% 3.57143% 0.000001% 0.00003%
1 1143186711936 3.44% 3.44392% -0.000042% -0.00121%
2 1143136287128 3.44% 3.44377% 0.000110% 0.00320%
3 1143138315674 3.44% 3.44377% 0.000104% 0.00302%
4 1143225572516 3.44% 3.44404% -0.000159% -0.00461%
5 1143214169257 3.44% 3.44400% -0.000124% -0.00362%
6 1143176634594 3.44% 3.44389% -0.000011% -0.00033%
7 1143228928332 3.44% 3.44405% -0.000169% -0.00491%
8 1143160223728 3.44% 3.44384% 0.000038% 0.00110%
9 1143162867972 3.44% 3.44385% 0.000030% 0.00087%
10 1143164464469 3.44% 3.44385% 0.000025% 0.00073%
11 1143106756314 3.44% 3.44368% 0.000199% 0.00578%
12 1143147891069 3.44% 3.44380% 0.000075% 0.00218%
13 1143158962143 3.44% 3.44384% 0.000042% 0.00121%
14 1143211691201 3.44% 3.44399% -0.000117% -0.00340%
15 1143077033981 3.44% 3.44359% 0.000289% 0.00838%
16 1143224966108 3.44% 3.44403% -0.000157% -0.00456%
17 1143151655121 3.44% 3.44381% 0.000064% 0.00185%
18 1143207216605 3.44% 3.44398% -0.000104% -0.00301%
19 1143181159009 3.44% 3.44390% -0.000025% -0.00073%
20 1143243485584 3.44% 3.44409% -0.000213% -0.00618%
21 1143160634777 3.44% 3.44384% 0.000037% 0.00107%
22 1143183894226 3.44% 3.44391% -0.000033% -0.00097%
23 1143168229663 3.44% 3.44386% 0.000014% 0.00040%
24 1143115801436 3.44% 3.44371% 0.000172% 0.00499%
25 1143165329654 3.44% 3.44385% 0.000023% 0.00066%
26 1143173451312 3.44% 3.44388% -0.000002% -0.00005%
27 1143156496791 3.44% 3.44383% 0.000049% 0.00143%
28 1143211172106 3.44% 3.44399% -0.000115% -0.00335%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-20 18:49

素数29 统计6+25 理论占比实际占比占比绝对误差相对误差
0 1185512172310 3.57% 3.57143% 0.000001% 0.00003%
1 1143200297011 3.44% 3.44396% -0.000083% -0.00240%
2 1143153189554 3.44% 3.44382% 0.000059% 0.00172%
3 1143144026865 3.44% 3.44379% 0.000087% 0.00252%
4 1143193547513 3.44% 3.44394% -0.000062% -0.00181%
5 1143250651077 3.44% 3.44411% -0.000234% -0.00681%
6 1143174689199 3.44% 3.44388% -0.000006% -0.00016%
7 1143230243155 3.44% 3.44405% -0.000173% -0.00502%
8 1143158641857 3.44% 3.44383% 0.000043% 0.00124%
9 1143224420943 3.44% 3.44403% -0.000155% -0.00451%
10 1143182011627 3.44% 3.44391% -0.000028% -0.00080%
11 1143081089666 3.44% 3.44360% 0.000276% 0.00803%
12 1143110336390 3.44% 3.44369% 0.000188% 0.00547%
13 1143138744976 3.44% 3.44377% 0.000103% 0.00298%
14 1143176061998 3.44% 3.44389% -0.000010% -0.00028%
15 1143156579261 3.44% 3.44383% 0.000049% 0.00142%
16 1143245483813 3.44% 3.44410% -0.000219% -0.00635%
17 1143194232847 3.44% 3.44394% -0.000064% -0.00187%
18 1143195822706 3.44% 3.44395% -0.000069% -0.00201%
19 1143147808477 3.44% 3.44380% 0.000075% 0.00219%
20 1143203968659 3.44% 3.44397% -0.000094% -0.00272%
21 1143189871558 3.44% 3.44393% -0.000051% -0.00149%
22 1143145407387 3.44% 3.44379% 0.000083% 0.00240%
23 1143192384325 3.44% 3.44394% -0.000059% -0.00171%
24 1143125241202 3.44% 3.44373% 0.000143% 0.00416%
25 1143135998598 3.44% 3.44377% 0.000111% 0.00322%
26 1143164633951 3.44% 3.44385% 0.000025% 0.00072%
27 1143118585537 3.44% 3.44371% 0.000163% 0.00475%
28 1143206051654 3.44% 3.44398% -0.000100% -0.00290%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-20 18:49

素数29 统计6+26 理论占比实际占比占比绝对误差相对误差
0 1185512156492 3.57% 3.57143% 0.000001% 0.00004%
1 1143170069021 3.44% 3.44387% 0.000008% 0.00024%
2 1143137105814 3.44% 3.44377% 0.000108% 0.00313%
3 1143124483344 3.44% 3.44373% 0.000146% 0.00423%
4 1143216202098 3.44% 3.44401% -0.000131% -0.00379%
5 1143228096056 3.44% 3.44404% -0.000166% -0.00483%
6 1143146022754 3.44% 3.44380% 0.000081% 0.00235%
7 1143170414295 3.44% 3.44387% 0.000007% 0.00021%
8 1143181919885 3.44% 3.44390% -0.000027% -0.00079%
9 1143135442067 3.44% 3.44376% 0.000113% 0.00327%
10 1143211985229 3.44% 3.44400% -0.000118% -0.00342%
11 1143123590123 3.44% 3.44373% 0.000148% 0.00431%
12 1143237649625 3.44% 3.44407% -0.000195% -0.00567%
13 1143148844614 3.44% 3.44381% 0.000072% 0.00210%
14 1143194236966 3.44% 3.44394% -0.000064% -0.00187%
15 1143164673516 3.44% 3.44385% 0.000025% 0.00071%
16 1143182211696 3.44% 3.44391% -0.000028% -0.00082%
17 1143115339942 3.44% 3.44370% 0.000173% 0.00503%
18 1143204113243 3.44% 3.44397% -0.000094% -0.00274%
19 1143187194164 3.44% 3.44392% -0.000043% -0.00126%
20 1143222886382 3.44% 3.44403% -0.000151% -0.00438%
21 1143197761314 3.44% 3.44395% -0.000075% -0.00218%
22 1143172985375 3.44% 3.44388% 0.000000% -0.00001%
23 1143167055359 3.44% 3.44386% 0.000017% 0.00051%
24 1143134207814 3.44% 3.44376% 0.000116% 0.00338%
25 1143148205912 3.44% 3.44380% 0.000074% 0.00216%
26 1143152187302 3.44% 3.44382% 0.000062% 0.00181%
27 1143187691743 3.44% 3.44392% -0.000045% -0.00130%
28 1143177461971 3.44% 3.44389% -0.000014% -0.00040%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

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