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 16:53

素数29 统计1+16 理论占比实际占比占比绝对误差相对误差
0 1185512252119 3.57% 3.57143% 0.000001% 0.00003%
1 1143194921230 3.44% 3.44394% -0.000067% -0.00193%
2 1143180827910 3.44% 3.44390% -0.000024% -0.00070%
3 1143216798596 3.44% 3.44401% -0.000132% -0.00385%
4 1143145690038 3.44% 3.44380% 0.000082% 0.00238%
5 1143205196456 3.44% 3.44398% -0.000097% -0.00283%
6 1143150830156 3.44% 3.44381% 0.000066% 0.00193%
7 1143199176721 3.44% 3.44396% -0.000079% -0.00230%
8 1143138405814 3.44% 3.44377% 0.000104% 0.00301%
9 1143171017744 3.44% 3.44387% 0.000005% 0.00016%
10 1143089676207 3.44% 3.44363% 0.000251% 0.00728%
11 1143147606067 3.44% 3.44380% 0.000076% 0.00221%
12 1143176266313 3.44% 3.44389% -0.000010% -0.00030%
13 1143173037031 3.44% 3.44388% -0.000001% -0.00002%
14 1143145083805 3.44% 3.44379% 0.000084% 0.00243%
15 1143127115035 3.44% 3.44374% 0.000138% 0.00400%
16 1143193624894 3.44% 3.44394% -0.000063% -0.00182%
17 1143153590211 3.44% 3.44382% 0.000058% 0.00168%
18 1143184892613 3.44% 3.44391% -0.000036% -0.00105%
19 1143187580920 3.44% 3.44392% -0.000044% -0.00129%
20 1143204379004 3.44% 3.44397% -0.000095% -0.00276%
21 1143170433599 3.44% 3.44387% 0.000007% 0.00021%
22 1143207215794 3.44% 3.44398% -0.000104% -0.00301%
23 1143225020595 3.44% 3.44403% -0.000157% -0.00456%
24 1143223054895 3.44% 3.44403% -0.000151% -0.00439%
25 1143238818264 3.44% 3.44408% -0.000199% -0.00577%
26 1143087937215 3.44% 3.44362% 0.000256% 0.00743%
27 1143167351644 3.44% 3.44386% 0.000017% 0.00048%
28 1143134393226 3.44% 3.44376% 0.000116% 0.00336%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-17 16:54

素数29 统计1+17 理论占比实际占比占比绝对误差相对误差
0 1185512136125 3.57% 3.57143% 0.000001% 0.00004%
1 1143163573931 3.44% 3.44385% 0.000028% 0.00081%
2 1143197974467 3.44% 3.44395% -0.000076% -0.00220%
3 1143217740172 3.44% 3.44401% -0.000135% -0.00393%
4 1143108627490 3.44% 3.44368% 0.000193% 0.00562%
5 1143199314647 3.44% 3.44396% -0.000080% -0.00232%
6 1143187339682 3.44% 3.44392% -0.000044% -0.00127%
7 1143111436356 3.44% 3.44369% 0.000185% 0.00537%
8 1143148455553 3.44% 3.44380% 0.000073% 0.00213%
9 1143154237241 3.44% 3.44382% 0.000056% 0.00163%
10 1143116919456 3.44% 3.44371% 0.000168% 0.00489%
11 1143206181160 3.44% 3.44398% -0.000100% -0.00292%
12 1143162169541 3.44% 3.44385% 0.000032% 0.00093%
13 1143186875203 3.44% 3.44392% -0.000042% -0.00123%
14 1143161733420 3.44% 3.44384% 0.000033% 0.00097%
15 1143160963199 3.44% 3.44384% 0.000036% 0.00104%
16 1143214844625 3.44% 3.44400% -0.000127% -0.00367%
17 1143135328414 3.44% 3.44376% 0.000113% 0.00328%
18 1143195793538 3.44% 3.44395% -0.000069% -0.00201%
19 1143208191832 3.44% 3.44398% -0.000106% -0.00309%
20 1143207427196 3.44% 3.44398% -0.000104% -0.00303%
21 1143213341196 3.44% 3.44400% -0.000122% -0.00354%
22 1143224932524 3.44% 3.44403% -0.000157% -0.00456%
23 1143135188008 3.44% 3.44376% 0.000113% 0.00329%
24 1143175628475 3.44% 3.44389% -0.000008% -0.00024%
25 1143216841546 3.44% 3.44401% -0.000133% -0.00385%
26 1143118337354 3.44% 3.44371% 0.000164% 0.00477%
27 1143176934334 3.44% 3.44389% -0.000012% -0.00036%
28 1143133727431 3.44% 3.44376% 0.000118% 0.00342%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-17 16:55

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

独木星空谁 · 发表于 2021-10-17 16:55

素数29 统计1+19 理论占比实际占比占比绝对误差相对误差
0 1185512039071 3.57% 3.57143% 0.000002% 0.00005%
1 1143088415121 3.44% 3.44362% 0.000254% 0.00739%
2 1143178106086 3.44% 3.44389% -0.000016% -0.00046%
3 1143243063736 3.44% 3.44409% -0.000212% -0.00614%
4 1143104452910 3.44% 3.44367% 0.000206% 0.00598%
5 1143182898745 3.44% 3.44391% -0.000030% -0.00088%
6 1143194168651 3.44% 3.44394% -0.000064% -0.00187%
7 1143182160159 3.44% 3.44391% -0.000028% -0.00081%
8 1143189748202 3.44% 3.44393% -0.000051% -0.00148%
9 1143157811280 3.44% 3.44383% 0.000045% 0.00131%
10 1143146503191 3.44% 3.44380% 0.000079% 0.00230%
11 1143227804502 3.44% 3.44404% -0.000166% -0.00481%
12 1143193682015 3.44% 3.44394% -0.000063% -0.00182%
13 1143167311379 3.44% 3.44386% 0.000017% 0.00048%
14 1143199292907 3.44% 3.44396% -0.000080% -0.00231%
15 1143153792071 3.44% 3.44382% 0.000057% 0.00167%
16 1143195021093 3.44% 3.44394% -0.000067% -0.00194%
17 1143158359358 3.44% 3.44383% 0.000044% 0.00127%
18 1143136903976 3.44% 3.44377% 0.000108% 0.00314%
19 1143139442063 3.44% 3.44378% 0.000101% 0.00292%
20 1143194496107 3.44% 3.44394% -0.000065% -0.00189%
21 1143194297812 3.44% 3.44394% -0.000065% -0.00188%
22 1143194926962 3.44% 3.44394% -0.000067% -0.00193%
23 1143177315379 3.44% 3.44389% -0.000013% -0.00039%
24 1143155256996 3.44% 3.44382% 0.000053% 0.00154%
25 1143232504838 3.44% 3.44406% -0.000180% -0.00522%
26 1143077456426 3.44% 3.44359% 0.000287% 0.00834%
27 1143181534960 3.44% 3.44390% -0.000026% -0.00076%
28 1143193428120 3.44% 3.44394% -0.000062% -0.00180%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-17 16:56

素数29 统计1+20 理论占比实际占比占比绝对误差相对误差
0 1185512252119 3.57% 3.57143% 0.000001% 0.00003%
1 1143193624894 3.44% 3.44394% -0.000063% -0.00182%
2 1143216798596 3.44% 3.44401% -0.000132% -0.00385%
3 1143187580920 3.44% 3.44392% -0.000044% -0.00129%
4 1143150830156 3.44% 3.44381% 0.000066% 0.00193%
5 1143207215794 3.44% 3.44398% -0.000104% -0.00301%
6 1143171017744 3.44% 3.44387% 0.000005% 0.00016%
7 1143238818264 3.44% 3.44408% -0.000199% -0.00577%
8 1143176266313 3.44% 3.44389% -0.000010% -0.00030%
9 1143134393226 3.44% 3.44376% 0.000116% 0.00336%
10 1143127115035 3.44% 3.44374% 0.000138% 0.00400%
11 1143180827910 3.44% 3.44390% -0.000024% -0.00070%
12 1143184892613 3.44% 3.44391% -0.000036% -0.00105%
13 1143205196456 3.44% 3.44398% -0.000097% -0.00283%
14 1143170433599 3.44% 3.44387% 0.000007% 0.00021%
15 1143138405814 3.44% 3.44377% 0.000104% 0.00301%
16 1143223054895 3.44% 3.44403% -0.000151% -0.00439%
17 1143147606067 3.44% 3.44380% 0.000076% 0.00221%
18 1143167351644 3.44% 3.44386% 0.000017% 0.00048%
19 1143145083805 3.44% 3.44379% 0.000084% 0.00243%
20 1143194921230 3.44% 3.44394% -0.000067% -0.00193%
21 1143153590211 3.44% 3.44382% 0.000058% 0.00168%
22 1143145690038 3.44% 3.44380% 0.000082% 0.00238%
23 1143204379004 3.44% 3.44397% -0.000095% -0.00276%
24 1143199176721 3.44% 3.44396% -0.000079% -0.00230%
25 1143225020595 3.44% 3.44403% -0.000157% -0.00456%
26 1143089676207 3.44% 3.44363% 0.000251% 0.00728%
27 1143087937215 3.44% 3.44362% 0.000256% 0.00743%
28 1143173037031 3.44% 3.44388% -0.000001% -0.00002%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-17 16:56

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

独木星空谁 · 发表于 2021-10-17 16:57

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

独木星空谁 · 发表于 2021-10-17 16:57

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

独木星空谁 · 发表于 2021-10-17 18:47

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

独木星空谁 · 发表于 2021-10-17 18:47

素数29 统计1+25 理论占比实际占比占比绝对误差相对误差
0 1185512203452 3.57% 3.57143% 0.000001% 0.00003%
1 1143169680223 3.44% 3.44387% 0.000010% 0.00028%
2 1143174180539 3.44% 3.44388% -0.000004% -0.00012%
3 1143212993186 3.44% 3.44400% -0.000121% -0.00351%
4 1143114157503 3.44% 3.44370% 0.000177% 0.00513%
5 1143212429058 3.44% 3.44400% -0.000119% -0.00346%
6 1143209680989 3.44% 3.44399% -0.000111% -0.00322%
7 1143218003947 3.44% 3.44401% -0.000136% -0.00395%
8 1143158724449 3.44% 3.44384% 0.000043% 0.00124%
9 1143166586949 3.44% 3.44386% 0.000019% 0.00055%
10 1143165039387 3.44% 3.44385% 0.000024% 0.00068%
11 1143151751836 3.44% 3.44381% 0.000064% 0.00185%
12 1143105614468 3.44% 3.44368% 0.000203% 0.00588%
13 1143143688928 3.44% 3.44379% 0.000088% 0.00255%
14 1143164357175 3.44% 3.44385% 0.000026% 0.00074%
15 1143146941056 3.44% 3.44380% 0.000078% 0.00227%
16 1143262693895 3.44% 3.44415% -0.000271% -0.00786%
17 1143183423130 3.44% 3.44391% -0.000032% -0.00093%
18 1143168887822 3.44% 3.44387% 0.000012% 0.00035%
19 1143128189603 3.44% 3.44374% 0.000135% 0.00391%
20 1143224248422 3.44% 3.44403% -0.000155% -0.00450%
21 1143186954098 3.44% 3.44392% -0.000043% -0.00123%
22 1143165984939 3.44% 3.44386% 0.000021% 0.00060%
23 1143203281316 3.44% 3.44397% -0.000092% -0.00266%
24 1143185447047 3.44% 3.44392% -0.000038% -0.00110%
25 1143215459867 3.44% 3.44401% -0.000128% -0.00373%
26 1143100953336 3.44% 3.44366% 0.000217% 0.00629%
27 1143125421075 3.44% 3.44373% 0.000143% 0.00415%
28 1143175216421 3.44% 3.44388% -0.000007% -0.00021%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

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