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 2021-10-17 19:59

素数29 统计2+4 理论占比实际占比占比绝对误差相对误差
0 1185512075528 0.00% 3.57143% -3.571427% 0.00000%
1 1143155870127 3.57% 3.44383% 0.127602% 3.57286%
2 1143125662735 3.57% 3.44374% 0.127693% 3.57541%
3 1143206234129 3.57% 3.44398% 0.127450% 3.56861%
4 1143168711493 3.57% 3.44387% 0.127563% 3.57178%
5 1143144900368 3.57% 3.44379% 0.127635% 3.57379%
6 1143241877432 3.57% 3.44409% 0.127343% 3.56561%
7 1143156975831 3.57% 3.44383% 0.127599% 3.57277%
8 1143137665623 3.57% 3.44377% 0.127657% 3.57440%
9 1143168745781 3.57% 3.44387% 0.127563% 3.57177%
10 1143166002069 3.57% 3.44386% 0.127572% 3.57201%
11 1143196265912 3.57% 3.44395% 0.127480% 3.56945%
12 1143230076226 3.57% 3.44405% 0.127379% 3.56660%
13 1143233733024 3.57% 3.44406% 0.127368% 3.56629%
14 1143190731649 3.57% 3.44393% 0.127497% 3.56992%
15 1143189061149 3.57% 3.44393% 0.127502% 3.57006%
16 1143128318916 3.57% 3.44374% 0.127685% 3.57518%
17 1143097787493 3.57% 3.44365% 0.127777% 3.57776%
18 1143128727316 3.57% 3.44374% 0.127684% 3.57515%
19 1143193187883 3.57% 3.44394% 0.127490% 3.56971%
20 1143178439998 3.57% 3.44389% 0.127534% 3.57096%
21 1143215008462 3.57% 3.44400% 0.127424% 3.56787%
22 1143207259021 3.57% 3.44398% 0.127447% 3.56853%
23 1143116284539 3.57% 3.44371% 0.127721% 3.57620%
24 1143198860187 3.57% 3.44396% 0.127473% 3.56923%
25 1143144929808 3.57% 3.44379% 0.127635% 3.57378%
26 1143192950017 3.57% 3.44394% 0.127490% 3.56973%
27 1143150754274 3.57% 3.44381% 0.127618% 3.57329%
28 1143175097126 3.57% 3.44388% 0.127544% 3.57124%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99996%

独木星空谁 · 发表于 2021-10-17 20:00

素数29 统计2+5 理论占比实际占比占比绝对误差相对误差
0 1185512136125 0.00% 3.57143% -3.571427% 0.00000%
1 1143160963199 3.57% 3.44384% 0.127587% 3.57243%
2 1143163573931 3.57% 3.44385% 0.127579% 3.57221%
3 1143214844625 3.57% 3.44400% 0.127424% 3.56789%
4 1143197974467 3.57% 3.44395% 0.127475% 3.56931%
5 1143135328414 3.57% 3.44376% 0.127664% 3.57459%
6 1143217740172 3.57% 3.44401% 0.127416% 3.56764%
7 1143195793538 3.57% 3.44395% 0.127482% 3.56949%
8 1143108627490 3.57% 3.44368% 0.127744% 3.57685%
9 1143208191832 3.57% 3.44398% 0.127445% 3.56845%
10 1143199314647 3.57% 3.44396% 0.127471% 3.56920%
11 1143207427196 3.57% 3.44398% 0.127447% 3.56851%
12 1143187339682 3.57% 3.44392% 0.127507% 3.57021%
13 1143213341196 3.57% 3.44400% 0.127429% 3.56801%
14 1143111436356 3.57% 3.44369% 0.127736% 3.57661%
15 1143224932524 3.57% 3.44403% 0.127394% 3.56703%
16 1143148455553 3.57% 3.44380% 0.127624% 3.57349%
17 1143135188008 3.57% 3.44376% 0.127664% 3.57460%
18 1143154237241 3.57% 3.44382% 0.127607% 3.57300%
19 1143175628475 3.57% 3.44389% 0.127543% 3.57119%
20 1143116919456 3.57% 3.44371% 0.127719% 3.57615%
21 1143216841546 3.57% 3.44401% 0.127418% 3.56772%
22 1143206181160 3.57% 3.44398% 0.127451% 3.56862%
23 1143118337354 3.57% 3.44371% 0.127715% 3.57603%
24 1143162169541 3.57% 3.44385% 0.127583% 3.57233%
25 1143176934334 3.57% 3.44389% 0.127539% 3.57108%
26 1143186875203 3.57% 3.44392% 0.127509% 3.57024%
27 1143133727431 3.57% 3.44376% 0.127669% 3.57473%
28 1143161733420 3.57% 3.44384% 0.127584% 3.57237%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99996%

独木星空谁 · 发表于 2021-10-17 20:00

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

独木星空谁 · 发表于 2021-10-17 20:01

素数29 统计2+7 理论占比实际占比占比绝对误差相对误差
0 1185511975239 0.00% 3.57143% -3.571427% 0.00000%
1 1143194811867 3.57% 3.44394% 0.127485% 3.56958%
2 1143164960412 3.57% 3.44385% 0.127575% 3.57209%
3 1143182322520 3.57% 3.44391% 0.127522% 3.57063%
4 1143196625503 3.57% 3.44395% 0.127479% 3.56942%
5 1143124568587 3.57% 3.44373% 0.127696% 3.57550%
6 1143225495712 3.57% 3.44404% 0.127392% 3.56699%
7 1143167905732 3.57% 3.44386% 0.127566% 3.57185%
8 1143057529231 3.57% 3.44353% 0.127898% 3.58116%
9 1143169408058 3.57% 3.44387% 0.127561% 3.57172%
10 1143198379334 3.57% 3.44395% 0.127474% 3.56927%
11 1143200495427 3.57% 3.44396% 0.127468% 3.56910%
12 1143183104368 3.57% 3.44391% 0.127520% 3.57056%
13 1143200218506 3.57% 3.44396% 0.127469% 3.56912%
14 1143191497854 3.57% 3.44393% 0.127495% 3.56986%
15 1143176164442 3.57% 3.44389% 0.127541% 3.57115%
16 1143168826148 3.57% 3.44387% 0.127563% 3.57177%
17 1143148926314 3.57% 3.44381% 0.127623% 3.57345%
18 1143114977673 3.57% 3.44370% 0.127725% 3.57631%
19 1143188251662 3.57% 3.44392% 0.127505% 3.57013%
20 1143170828801 3.57% 3.44387% 0.127557% 3.57160%
21 1143263617598 3.57% 3.44415% 0.127278% 3.56377%
22 1143157545600 3.57% 3.44383% 0.127597% 3.57272%
23 1143117788669 3.57% 3.44371% 0.127717% 3.57607%
24 1143211910006 3.57% 3.44400% 0.127433% 3.56813%
25 1143193315399 3.57% 3.44394% 0.127489% 3.56970%
26 1143191685695 3.57% 3.44393% 0.127494% 3.56984%
27 1143157750453 3.57% 3.44383% 0.127596% 3.57270%
28 1143121307306 3.57% 3.44372% 0.127706% 3.57578%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99995%

独木星空谁 · 发表于 2021-10-17 20:01

素数29 统计2+8 理论占比实际占比占比绝对误差相对误差
0 1185512191410 0.00% 3.57143% -3.571427% 0.00000%
1 1143138315674 3.57% 3.44377% 0.127655% 3.57434%
2 1143176634594 3.57% 3.44389% 0.127540% 3.57111%
3 1143162867972 3.57% 3.44385% 0.127581% 3.57227%
4 1143147891069 3.57% 3.44380% 0.127626% 3.57353%
5 1143077033981 3.57% 3.44359% 0.127840% 3.57951%
6 1143207216605 3.57% 3.44398% 0.127447% 3.56853%
7 1143160634777 3.57% 3.44384% 0.127588% 3.57246%
8 1143115801436 3.57% 3.44371% 0.127723% 3.57624%
9 1143156496791 3.57% 3.44383% 0.127600% 3.57281%
10 1143186711936 3.57% 3.44392% 0.127509% 3.57026%
11 1143225572516 3.57% 3.44404% 0.127392% 3.56698%
12 1143228928332 3.57% 3.44405% 0.127382% 3.56670%
13 1143164464469 3.57% 3.44385% 0.127576% 3.57214%
14 1143158962143 3.57% 3.44384% 0.127593% 3.57260%
15 1143224966108 3.57% 3.44403% 0.127394% 3.56703%
16 1143181159009 3.57% 3.44390% 0.127526% 3.57073%
17 1143183894226 3.57% 3.44391% 0.127518% 3.57050%
18 1143165329654 3.57% 3.44385% 0.127574% 3.57206%
19 1143211172106 3.57% 3.44399% 0.127436% 3.56820%
20 1143136287128 3.57% 3.44377% 0.127661% 3.57451%
21 1143214169257 3.57% 3.44400% 0.127427% 3.56794%
22 1143160223728 3.57% 3.44384% 0.127589% 3.57249%
23 1143106756314 3.57% 3.44368% 0.127750% 3.57700%
24 1143211691201 3.57% 3.44399% 0.127434% 3.56815%
25 1143151655121 3.57% 3.44381% 0.127615% 3.57322%
26 1143243485584 3.57% 3.44409% 0.127338% 3.56547%
27 1143168229663 3.57% 3.44386% 0.127565% 3.57182%
28 1143173451312 3.57% 3.44388% 0.127549% 3.57138%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99997%

独木星空谁 · 发表于 2021-10-17 20:01

素数29 统计2+9 理论占比实际占比占比绝对误差相对误差
0 1185512039071 0.00% 3.57143% -3.571427% 0.00000%
1 1143153792071 3.57% 3.44382% 0.127608% 3.57304%
2 1143088415121 3.57% 3.44362% 0.127805% 3.57855%
3 1143195021093 3.57% 3.44394% 0.127484% 3.56956%
4 1143178106086 3.57% 3.44389% 0.127535% 3.57098%
5 1143158359358 3.57% 3.44383% 0.127595% 3.57265%
6 1143243063736 3.57% 3.44409% 0.127339% 3.56551%
7 1143136903976 3.57% 3.44377% 0.127659% 3.57446%
8 1143104452910 3.57% 3.44367% 0.127757% 3.57720%
9 1143139442063 3.57% 3.44378% 0.127652% 3.57425%
10 1143182898745 3.57% 3.44391% 0.127521% 3.57058%
11 1143194496107 3.57% 3.44394% 0.127486% 3.56960%
12 1143194168651 3.57% 3.44394% 0.127487% 3.56963%
13 1143194297812 3.57% 3.44394% 0.127486% 3.56962%
14 1143182160159 3.57% 3.44391% 0.127523% 3.57064%
15 1143194926962 3.57% 3.44394% 0.127484% 3.56957%
16 1143189748202 3.57% 3.44393% 0.127500% 3.57000%
17 1143177315379 3.57% 3.44389% 0.127538% 3.57105%
18 1143157811280 3.57% 3.44383% 0.127596% 3.57270%
19 1143155256996 3.57% 3.44382% 0.127604% 3.57291%
20 1143146503191 3.57% 3.44380% 0.127630% 3.57365%
21 1143232504838 3.57% 3.44406% 0.127371% 3.56640%
22 1143227804502 3.57% 3.44404% 0.127385% 3.56679%
23 1143077456426 3.57% 3.44359% 0.127838% 3.57947%
24 1143193682015 3.57% 3.44394% 0.127488% 3.56967%
25 1143181534960 3.57% 3.44390% 0.127525% 3.57070%
26 1143167311379 3.57% 3.44386% 0.127568% 3.57190%
27 1143193428120 3.57% 3.44394% 0.127489% 3.56969%
28 1143199292907 3.57% 3.44396% 0.127471% 3.56920%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99995%

独木星空谁 · 发表于 2021-10-17 20:02

素数29 统计2+10 理论占比实际占比占比绝对误差相对误差
0 1185512293976 0.00% 3.57143% -3.571428% 0.00000%
1 1143173990766 3.57% 3.44388% 0.127548% 3.57133%
2 1143181627737 3.57% 3.44390% 0.127525% 3.57069%
3 1143183002800 3.57% 3.44391% 0.127520% 3.57057%
4 1143185857726 3.57% 3.44392% 0.127512% 3.57033%
5 1143114515322 3.57% 3.44370% 0.127727% 3.57635%
6 1143215852172 3.57% 3.44401% 0.127421% 3.56780%
7 1143186250673 3.57% 3.44392% 0.127511% 3.57030%
8 1143145165587 3.57% 3.44379% 0.127634% 3.57376%
9 1143138855282 3.57% 3.44378% 0.127653% 3.57430%
10 1143177281088 3.57% 3.44389% 0.127538% 3.57105%
11 1143164020933 3.57% 3.44385% 0.127578% 3.57217%
12 1143204835604 3.57% 3.44397% 0.127455% 3.56873%
13 1143166203540 3.57% 3.44386% 0.127571% 3.57199%
14 1143197570720 3.57% 3.44395% 0.127477% 3.56934%
15 1143223690585 3.57% 3.44403% 0.127398% 3.56714%
16 1143151881340 3.57% 3.44381% 0.127614% 3.57320%
17 1143186062392 3.57% 3.44392% 0.127511% 3.57031%
18 1143204913412 3.57% 3.44397% 0.127454% 3.56872%
19 1143174585562 3.57% 3.44388% 0.127546% 3.57128%
20 1143169677432 3.57% 3.44387% 0.127561% 3.57170%
21 1143246278780 3.57% 3.44410% 0.127330% 3.56523%
22 1143171543758 3.57% 3.44387% 0.127555% 3.57154%
23 1143100696302 3.57% 3.44366% 0.127768% 3.57751%
24 1143169198298 3.57% 3.44387% 0.127562% 3.57174%
25 1143134816254 3.57% 3.44376% 0.127666% 3.57464%
26 1143222896343 3.57% 3.44403% 0.127400% 3.56721%
27 1143154641830 3.57% 3.44382% 0.127606% 3.57296%
28 1143093987902 3.57% 3.44364% 0.127789% 3.57808%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99998%

独木星空谁 · 发表于 2021-10-17 20:02

素数29 统计2+11 理论占比实际占比占比绝对误差相对误差
0 1185512252119 0.00% 3.57143% -3.571428% 0.00000%
1 1143138405814 3.57% 3.44377% 0.127655% 3.57433%
2 1143193624894 3.57% 3.44394% 0.127488% 3.56968%
3 1143223054895 3.57% 3.44403% 0.127400% 3.56719%
4 1143216798596 3.57% 3.44401% 0.127419% 3.56772%
5 1143147606067 3.57% 3.44380% 0.127627% 3.57356%
6 1143187580920 3.57% 3.44392% 0.127507% 3.57019%
7 1143167351644 3.57% 3.44386% 0.127568% 3.57189%
8 1143150830156 3.57% 3.44381% 0.127617% 3.57329%
9 1143145083805 3.57% 3.44379% 0.127635% 3.57377%
10 1143207215794 3.57% 3.44398% 0.127447% 3.56853%
11 1143194921230 3.57% 3.44394% 0.127485% 3.56957%
12 1143171017744 3.57% 3.44387% 0.127557% 3.57158%
13 1143153590211 3.57% 3.44382% 0.127609% 3.57305%
14 1143238818264 3.57% 3.44408% 0.127352% 3.56586%
15 1143145690038 3.57% 3.44380% 0.127633% 3.57372%
16 1143176266313 3.57% 3.44389% 0.127541% 3.57114%
17 1143204379004 3.57% 3.44397% 0.127456% 3.56877%
18 1143134393226 3.57% 3.44376% 0.127667% 3.57467%
19 1143199176721 3.57% 3.44396% 0.127472% 3.56921%
20 1143127115035 3.57% 3.44374% 0.127689% 3.57529%
21 1143225020595 3.57% 3.44403% 0.127394% 3.56703%
22 1143180827910 3.57% 3.44390% 0.127527% 3.57076%
23 1143089676207 3.57% 3.44363% 0.127802% 3.57844%
24 1143184892613 3.57% 3.44391% 0.127515% 3.57041%
25 1143087937215 3.57% 3.44362% 0.127807% 3.57859%
26 1143205196456 3.57% 3.44398% 0.127454% 3.56870%
27 1143173037031 3.57% 3.44388% 0.127550% 3.57141%
28 1143170433599 3.57% 3.44387% 0.127558% 3.57163%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99997%

独木星空谁 · 发表于 2021-10-17 20:03

素数29 统计2+12 理论占比实际占比占比绝对误差相对误差
0 1185512293976 0.00% 3.57143% -3.571428% 0.00000%
1 1143114515322 3.57% 3.44370% 0.127727% 3.57635%
2 1143177281088 3.57% 3.44389% 0.127538% 3.57105%
3 1143223690585 3.57% 3.44403% 0.127398% 3.56714%
4 1143169677432 3.57% 3.44387% 0.127561% 3.57170%
5 1143134816254 3.57% 3.44376% 0.127666% 3.57464%
6 1143173990766 3.57% 3.44388% 0.127548% 3.57133%
7 1143215852172 3.57% 3.44401% 0.127421% 3.56780%
8 1143164020933 3.57% 3.44385% 0.127578% 3.57217%
9 1143151881340 3.57% 3.44381% 0.127614% 3.57320%
10 1143246278780 3.57% 3.44410% 0.127330% 3.56523%
11 1143222896343 3.57% 3.44403% 0.127400% 3.56721%
12 1143181627737 3.57% 3.44390% 0.127525% 3.57069%
13 1143186250673 3.57% 3.44392% 0.127511% 3.57030%
14 1143204835604 3.57% 3.44397% 0.127455% 3.56873%
15 1143186062392 3.57% 3.44392% 0.127511% 3.57031%
16 1143171543758 3.57% 3.44387% 0.127555% 3.57154%
17 1143154641830 3.57% 3.44382% 0.127606% 3.57296%
18 1143183002800 3.57% 3.44391% 0.127520% 3.57057%
19 1143145165587 3.57% 3.44379% 0.127634% 3.57376%
20 1143166203540 3.57% 3.44386% 0.127571% 3.57199%
21 1143204913412 3.57% 3.44397% 0.127454% 3.56872%
22 1143100696302 3.57% 3.44366% 0.127768% 3.57751%
23 1143093987902 3.57% 3.44364% 0.127789% 3.57808%
24 1143185857726 3.57% 3.44392% 0.127512% 3.57033%
25 1143138855282 3.57% 3.44378% 0.127653% 3.57430%
26 1143197570720 3.57% 3.44395% 0.127477% 3.56934%
27 1143174585562 3.57% 3.44388% 0.127546% 3.57128%
28 1143169198298 3.57% 3.44387% 0.127562% 3.57174%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99998%

独木星空谁 · 发表于 2021-10-17 20:03

素数29 统计2+13 理论占比实际占比占比绝对误差相对误差
0 1185511975239 0.00% 3.57143% -3.571427% 0.00000%
1 1143114977673 3.57% 3.44370% 0.127725% 3.57631%
2 1143167905732 3.57% 3.44386% 0.127566% 3.57185%
3 1143193315399 3.57% 3.44394% 0.127489% 3.56970%
4 1143191497854 3.57% 3.44393% 0.127495% 3.56986%
5 1143182322520 3.57% 3.44391% 0.127522% 3.57063%
6 1143263617598 3.57% 3.44415% 0.127278% 3.56377%
7 1143198379334 3.57% 3.44395% 0.127474% 3.56927%
8 1143121307306 3.57% 3.44372% 0.127706% 3.57578%
9 1143148926314 3.57% 3.44381% 0.127623% 3.57345%
10 1143225495712 3.57% 3.44404% 0.127392% 3.56699%
11 1143211910006 3.57% 3.44400% 0.127433% 3.56813%
12 1143200218506 3.57% 3.44396% 0.127469% 3.56912%
13 1143164960412 3.57% 3.44385% 0.127575% 3.57209%
14 1143170828801 3.57% 3.44387% 0.127557% 3.57160%
15 1143169408058 3.57% 3.44387% 0.127561% 3.57172%
16 1143157750453 3.57% 3.44383% 0.127596% 3.57270%
17 1143168826148 3.57% 3.44387% 0.127563% 3.57177%
18 1143124568587 3.57% 3.44373% 0.127696% 3.57550%
19 1143117788669 3.57% 3.44371% 0.127717% 3.57607%
20 1143183104368 3.57% 3.44391% 0.127520% 3.57056%
21 1143194811867 3.57% 3.44394% 0.127485% 3.56958%
22 1143188251662 3.57% 3.44392% 0.127505% 3.57013%
23 1143057529231 3.57% 3.44353% 0.127898% 3.58116%
24 1143191685695 3.57% 3.44393% 0.127494% 3.56984%
25 1143176164442 3.57% 3.44389% 0.127541% 3.57115%
26 1143196625503 3.57% 3.44395% 0.127479% 3.56942%
27 1143157545600 3.57% 3.44383% 0.127597% 3.57272%
28 1143200495427 3.57% 3.44396% 0.127468% 3.56910%
合计 33194352194116 100.00% 100.00000% 0.000000% 99.99995%

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证明\(P_i+2P_j\)=2N+1(N≥4）在素数集内有解

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