Record Gaps Between Prime 11-tuplets

Pattern d: d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36
Gap end
merit = 3062.07932636 ·dt / log11 t
Gap start
Rank Gap Size Gap start Next Prime 11-tuplet Merit Who When
1 7908189600570 11 7908189600581 3.275646Norman Luhn08 Nov 2022
2 25904743963560 12640876669691 38545620633251 3.343133Norman Luhn08 Nov 2022
3 29913865641660 79405799458871 109319665100531 2.396492Norman Luhn08 Nov 2022
4 44147867829450 109319665100531 153467532929981 3.160898Norman Luhn08 Nov 2022
5 45268062493500 171316998238271 216585060731771 2.839912Norman Luhn08 Nov 2022
6 84678780546360 295606138063121 380284918609481 4.419634Norman Luhn08 Nov 2022
7 223976897565960 1600977171323261 1824954068889221 6.935900Norman Luhn08 Nov 2022
8 224117073540360 7486645325734691 7710762399275051 4.390835Norman Luhn08 Nov 2022
9 327215349481020 8871465225933041 9198680575414061 6.086156Norman Luhn08 Nov 2022
10 379771135869510 27306514969393391 27686286105262901 5.086951Norman Luhn08 Nov 2022
11 428688029227920 36179114664243821 36607802693471741 5.294528Norman Luhn08 Nov 2022
12 443219786059050 39138758504100371 39581978290159421 5.351764Norman Luhn08 Nov 2022
13 523056902648280 59241729366831281 59764786269479561 5.610948Norman Luhn08 Nov 2022
14 545493449731230 65506685050427891 66052178500159121 5.687094Norman Luhn08 Nov 2022
15 635053451441640 72220161065988821 72855214517430461 6.439641Norman Luhn08 Nov 2022
16 896234965487400 100039421315333231 100935656280820631 8.289619Norman Luhn08 Nov 2022
17 957317012386350 198720469380488171 199677786392874521 7.317949Norman Luhn08 Nov 2022
18 1142954050133280 250660221858436121 251803175908569401 8.196163Norman Luhn08 Nov 2022
19 1185582166950720 306468377373107681 307653959540058401 8.047218Norman Luhn08 Nov 2022
20 1579396397243280 685428074102533031 687007470499776311 8.624604Norman Luhn08 Nov 2022
21 1590294531912240 745018137661977911 746608432193890151 8.492749Norman Luhn08 Nov 2022
22 1614285318612120 1036530757851824351 1038145043170436471 7.895928Norman Luhn08 Nov 2022
23 1780224988701390 1889377538883340391 1891157763872041781 7.435143Norman Luhn08 Nov 2022
24 1862493759927570 1899263186592316661 1901125680352244231 7.768098Norman Luhn08 Nov 2022
25 1916175258914070 2801728721682275501 2803644896941189571 7.223489Norman Luhn08 Nov 2022
26 1969684043947620 2959500318667552391 2961470002711500011 7.320691Norman Luhn08 Nov 2022
27 2451644409794580 3536505434574123281 3538957078983917861 8.702553Norman Luhn08 Nov 2022
28 2459695381939950 5276554261834475351 5279013957216415301 7.880164Norman Luhn08 Nov 2022
29 2618744956609320 6641623421020767911 6644242165977377231 7.912655Norman Luhn08 Nov 2022
30 2873614601418330 6815958420039163511 6818832034640581841 8.625830Norman Luhn08 Nov 2022
31 3666668164663350 7345682570358403541 7349349238523066891 10.79945Norman Luhn08 Nov 2022
32 4034739654029700 15599841626375491601 15603876366029521301 9.836576Norman Luhn08 Nov 2022
33 5202636833389380 18047647241156022221 18052849877989411601
12.23265
Norman Luhn08 Nov 2022
34 5546832058567800 47965187349591066671 47970734181649634471 10.26081Norman Luhn08 Nov 2022
35 5805630857306280 48756322850266941641 48762128481124247921 10.69700Norman Luhn08 Nov 2022
36 6459052139818740 70047491521348942871 70053950573488761611 10.90313Norman Luhn08 Nov 2022
37 6862150746190740 70855881082408471781 70862743233154662521 11.55162Norman Luhn08 Nov 2022
Maximal gaps below 1.00 · 1020

Pattern d: d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
Gap end
merit = 3062.07932636 ·dt / log11 t
Gap start
Rank Gap Size Gap start Next Prime 11-tuplet Merit Who When
1 2278499747370 2118274828903 4396774576273 0.621414Norman Luhn08 Nov 2022
2 20945560341090 6953798916913 27899359258003 3.139592Norman Luhn08 Nov 2022
3 56326618418070 90793299817453 147119918235523 4.180418Norman Luhn08 Nov 2022
4 64439914569030 455945323553953 520385238122983 2.979643Norman Luhn08 Nov 2022
5 69856179108870 1337944479290113 1407800658398983 2.318631Norman Luhn08 Nov 2022
6 91212647902530 1448553317355223 1539765965257753 2.947824Norman Luhn08 Nov 2022
7 104231611129800 1603667122451473 1707898733581273 3.261558Norman Luhn08 Nov 2022
8 210853276353720 2018599646892523 2229452923246243 6.104079Norman Luhn08 Nov 2022
9 224424908115870 2629663805478943 2854088713594813 6.001349Norman Luhn08 Nov 2022
10 228762951130560 8925341992111393 9154104943241953 4.254253Norman Luhn08 Nov 2022
11 388608182082120 11140102475962693 11528710658044813 6.755067Norman Luhn08 Nov 2022
12 406006039325040 34780713987598273 35186720026923313 5.071895Norman Luhn08 Nov 2022
13 428025957859500 54335371419828193 54763397377687693 4.706744Norman Luhn08 Nov 2022
14 486817106347110 80650970626364833 81137787732711943 4.786503Norman Luhn08 Nov 2022
15 868726323164700 82105248174033163 82973974497197863 8.493096Norman Luhn08 Nov 2022
16 1167425208819870 95979143490128593 97146568698948463 10.91958Norman Luhn08 Nov 2022
17 1195425972801060 312401741394202693 313597167367003753 8.071696Norman Luhn08 Nov 2022
18 1505119512368010 513055970529340933 514561090041708943 8.883714Norman Luhn08 Nov 2022
19 1715958097239540 1179732573513843043 1181448531611082583 8.110654Norman Luhn08 Nov 2022
20 1911553407067920 1311805034204278693 1313716587611346613 8.785542Norman Luhn08 Nov 2022
21 2162262122831580 1631014489696996483 1633176751819828063 9.384747Norman Luhn08 Nov 2022
22 2188411971525780 2289241104681811513 2291429516653337293 8.693602Norman Luhn08 Nov 2022
23 2203161239689410 3105921958796842033 3108125120036531443 8.086831Norman Luhn08 Nov 2022
24 2233624624825440 4874536954822840153 4876770579447665593 7.302214Norman Luhn08 Nov 2022
25 2819942062542990 5491107360698124013 5493927302760667003 8.942868Norman Luhn08 Nov 2022
26 2882896998837240 8736381338883453103 8739264235882290343 8.127170Norman Luhn08 Nov 2022
27 2970251942928270 10593802616387564653 10596772868330492923 7.976961Norman Luhn08 Nov 2022
28 3797678432449440 13841804538077774953 13845602216510224393 9.538678Norman Luhn08 Nov 2022
29 4232385302426820 15331197519910420843 15335429905212847663 10.36312Norman Luhn08 Nov 2022
30 4623565568742120 23389035398143583863 23393658963712325983 10.19595Norman Luhn08 Nov 2022
31 5676352844251320 31714033272570914113 31719709625415165433
11.61492
Norman Luhn08 Nov 2022
32 6535646791704030 64338357386151096943 64344893032942800973 11.26073Norman Luhn08 Nov 2022
Maximal gaps below 1.00 · 1020


Record Gaps Between Prime 11-tuplets Over All Patterns


Gap end
merit = 6124.158652727 ·dt / log11 t
Gap start
Rank Gap Size Gap start Next Prime 11-tuplet Merit Who When
1 1418575498562 11 1418575498573 3.328986 Norman Luhn 18 Jan 2023
2 2278499747370 2118274828903 4396774576273 1.242827 Norman Luhn 18 Jan 2023
3 2619544322010 7908189600581 10527733922591 0.957848 Norman Luhn 18 Jan 2023
4 15258482588312 12640876669691 27899359258003 4.234159 Norman Luhn 18 Jan 2023
5 16210151708788 44058461657443 60268613366231 3.186617 Norman Luhn 18 Jan 2023
6 18526365283078 90793299817453 109319665100531 2.905784 Norman Luhn 18 Jan 2023
7 37800253134992 109319665100531 147119918235523 5.455052 Norman Luhn 18 Jan 2023
8 53035067750012 871195311482381 924230379232393 4.029105 Norman Luhn 18 Jan 2023
9 104231611129800 1603667122451473 1707898733581273 6.523117 Norman Luhn 18 Jan 2023
10 111506881985462 2742581831609351 2854088713594813 5.925606 Norman Luhn 18 Jan 2023
11 125863514143558 6841762142313793 6967625656457351 5.076065 Norman Luhn 18 Jan 2023
12 137264297702338 7051376006538943 7188640304241281 5.484848 Norman Luhn 18 Jan 2023
13 140448397140088 7346196928594603 7486645325734691 5.543557 Norman Luhn 18 Jan 2023
14 140794049020742 8272719280170461 8413513329191203 5.363989 Norman Luhn 18 Jan 2023
15 228762951130560 8925341992111393 9154104943241953 8.508507 Norman Luhn 18 Jan 2023
16 246120503865390 26581766875458911 26827887379324301 6.649679 Norman Luhn 18 Jan 2023
17 249645651134612 39138758504100371 39388404155234983 6.033080 Norman Luhn 18 Jan 2023
18 263383971626160 52058240670234493 52321624641860653 5.866160 Norman Luhn 18 Jan 2023
19 329284247509408 80650970626364833 80980254873874241 6.476985 Norman Luhn 18 Jan 2023
20 368187504364680 96053268432136901 96421455936501581 6.894262 Norman Luhn 18 Jan 2023
21 411813906614612 109074964758309281 109486778664923893 7.440765 Norman Luhn 18 Jan 2023
22 435006956365018 132162559063209523 132597566019574541 7.449381 Norman Luhn 18 Jan 2023
23 503573757664168 178457083524684043 178960657282348211 7.933459 Norman Luhn 18 Jan 2023
24 579793658619058 206891153251867933 207470946910486991 8.768543 Norman Luhn 18 Jan 2023
25 770184586807020 312722792069213411 313492976656020431 10.39981 Norman Luhn 18 Jan 2023
26 919577625131282 1595913076808345411 1596832654433476693 8.028868 Norman Luhn 18 Jan 2023
27 1211254433560978 1631014489696996483 1632225744130557461 10.51508 Norman Luhn 18 Jan 2023
28 1315841914413180 3785767016105978983 3787082858020392163 9.179733 Norman Luhn 18 Jan 2023
29 1714493702235930 5345808009229341733 5347522502931577663 10.94921 Norman Luhn 18 Jan 2023
30 2302197605527050 6641913431366968603 6644215628972495653
13.91231
Norman Luhn 18 Jan 2023
31 2427586726658940 23390752778933020751 23393180365659679691 10.70663 Norman Luhn 18 Jan 2023
32 2978644494681240 27823469332598375321 27826447977093056561 12.58763 Norman Luhn 18 Jan 2023
33 3047594326322700 43513737912970579333 43516785507296902033 11.54529 Norman Luhn 18 Jan 2023
34 3262851568166190 58735695811402421081 58738958662970587271 11.49370 Norman Luhn 18 Jan 2023
35 3486561427946788 81537818084553018883 81541304645980965671 11.34903 Norman Luhn 18 Jan 2023
36 3852769846124430 81823622191212516463 81827474961058640893 12.53054 Norman Luhn 18 Jan 2023
37 4166798473523070 94105480082102838043 94109646880576361113 13.10541 Norman Luhn 18 Jan 2023
Maximal gaps below 1.00 · 1020