← 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	3.275646	Norman Luhn	08 Nov 2022
2	25904743963560	12640876669691	38545620633251	3.343133	Norman Luhn	08 Nov 2022
3	29913865641660	79405799458871	109319665100531	2.396492	Norman Luhn	08 Nov 2022
4	44147867829450	109319665100531	153467532929981	3.160898	Norman Luhn	08 Nov 2022
5	45268062493500	171316998238271	216585060731771	2.839912	Norman Luhn	08 Nov 2022
6	84678780546360	295606138063121	380284918609481	4.419634	Norman Luhn	08 Nov 2022
7	223976897565960	1600977171323261	1824954068889221	6.935900	Norman Luhn	08 Nov 2022
8	224117073540360	7486645325734691	7710762399275051	4.390835	Norman Luhn	08 Nov 2022
9	327215349481020	8871465225933041	9198680575414061	6.086156	Norman Luhn	08 Nov 2022
10	379771135869510	27306514969393391	27686286105262901	5.086951	Norman Luhn	08 Nov 2022
11	428688029227920	36179114664243821	36607802693471741	5.294528	Norman Luhn	08 Nov 2022
12	443219786059050	39138758504100371	39581978290159421	5.351764	Norman Luhn	08 Nov 2022
13	523056902648280	59241729366831281	59764786269479561	5.610948	Norman Luhn	08 Nov 2022
14	545493449731230	65506685050427891	66052178500159121	5.687094	Norman Luhn	08 Nov 2022
15	635053451441640	72220161065988821	72855214517430461	6.439641	Norman Luhn	08 Nov 2022
16	896234965487400	100039421315333231	100935656280820631	8.289619	Norman Luhn	08 Nov 2022
17	957317012386350	198720469380488171	199677786392874521	7.317949	Norman Luhn	08 Nov 2022
18	1142954050133280	250660221858436121	251803175908569401	8.196163	Norman Luhn	08 Nov 2022
19	1185582166950720	306468377373107681	307653959540058401	8.047218	Norman Luhn	08 Nov 2022
20	1579396397243280	685428074102533031	687007470499776311	8.624604	Norman Luhn	08 Nov 2022
21	1590294531912240	745018137661977911	746608432193890151	8.492749	Norman Luhn	08 Nov 2022
22	1614285318612120	1036530757851824351	1038145043170436471	7.895928	Norman Luhn	08 Nov 2022
23	1780224988701390	1889377538883340391	1891157763872041781	7.435143	Norman Luhn	08 Nov 2022
24	1862493759927570	1899263186592316661	1901125680352244231	7.768098	Norman Luhn	08 Nov 2022
25	1916175258914070	2801728721682275501	2803644896941189571	7.223489	Norman Luhn	08 Nov 2022
26	1969684043947620	2959500318667552391	2961470002711500011	7.320691	Norman Luhn	08 Nov 2022
27	2451644409794580	3536505434574123281	3538957078983917861	8.702553	Norman Luhn	08 Nov 2022
28	2459695381939950	5276554261834475351	5279013957216415301	7.880164	Norman Luhn	08 Nov 2022
29	2618744956609320	6641623421020767911	6644242165977377231	7.912655	Norman Luhn	08 Nov 2022
30	2873614601418330	6815958420039163511	6818832034640581841	8.625830	Norman Luhn	08 Nov 2022
31	3666668164663350	7345682570358403541	7349349238523066891	10.79945	Norman Luhn	08 Nov 2022
32	4034739654029700	15599841626375491601	15603876366029521301	9.836576	Norman Luhn	08 Nov 2022
33	5202636833389380	18047647241156022221	18052849877989411601	12.23265	Norman Luhn	08 Nov 2022
34	5546832058567800	47965187349591066671	47970734181649634471	10.26081	Norman Luhn	08 Nov 2022
35	5805630857306280	48756322850266941641	48762128481124247921	10.69700	Norman Luhn	08 Nov 2022
36	6459052139818740	70047491521348942871	70053950573488761611	10.90313	Norman Luhn	08 Nov 2022
37	6862150746190740	70855881082408471781	70862743233154662521	11.55162	Norman Luhn	08 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	0.621414	Norman Luhn	08 Nov 2022
2	20945560341090	6953798916913	27899359258003	3.139592	Norman Luhn	08 Nov 2022
3	56326618418070	90793299817453	147119918235523	4.180418	Norman Luhn	08 Nov 2022
4	64439914569030	455945323553953	520385238122983	2.979643	Norman Luhn	08 Nov 2022
5	69856179108870	1337944479290113	1407800658398983	2.318631	Norman Luhn	08 Nov 2022
6	91212647902530	1448553317355223	1539765965257753	2.947824	Norman Luhn	08 Nov 2022
7	104231611129800	1603667122451473	1707898733581273	3.261558	Norman Luhn	08 Nov 2022
8	210853276353720	2018599646892523	2229452923246243	6.104079	Norman Luhn	08 Nov 2022
9	224424908115870	2629663805478943	2854088713594813	6.001349	Norman Luhn	08 Nov 2022
10	228762951130560	8925341992111393	9154104943241953	4.254253	Norman Luhn	08 Nov 2022
11	388608182082120	11140102475962693	11528710658044813	6.755067	Norman Luhn	08 Nov 2022
12	406006039325040	34780713987598273	35186720026923313	5.071895	Norman Luhn	08 Nov 2022
13	428025957859500	54335371419828193	54763397377687693	4.706744	Norman Luhn	08 Nov 2022
14	486817106347110	80650970626364833	81137787732711943	4.786503	Norman Luhn	08 Nov 2022
15	868726323164700	82105248174033163	82973974497197863	8.493096	Norman Luhn	08 Nov 2022
16	1167425208819870	95979143490128593	97146568698948463	10.91958	Norman Luhn	08 Nov 2022
17	1195425972801060	312401741394202693	313597167367003753	8.071696	Norman Luhn	08 Nov 2022
18	1505119512368010	513055970529340933	514561090041708943	8.883714	Norman Luhn	08 Nov 2022
19	1715958097239540	1179732573513843043	1181448531611082583	8.110654	Norman Luhn	08 Nov 2022
20	1911553407067920	1311805034204278693	1313716587611346613	8.785542	Norman Luhn	08 Nov 2022
21	2162262122831580	1631014489696996483	1633176751819828063	9.384747	Norman Luhn	08 Nov 2022
22	2188411971525780	2289241104681811513	2291429516653337293	8.693602	Norman Luhn	08 Nov 2022
23	2203161239689410	3105921958796842033	3108125120036531443	8.086831	Norman Luhn	08 Nov 2022
24	2233624624825440	4874536954822840153	4876770579447665593	7.302214	Norman Luhn	08 Nov 2022
25	2819942062542990	5491107360698124013	5493927302760667003	8.942868	Norman Luhn	08 Nov 2022
26	2882896998837240	8736381338883453103	8739264235882290343	8.127170	Norman Luhn	08 Nov 2022
27	2970251942928270	10593802616387564653	10596772868330492923	7.976961	Norman Luhn	08 Nov 2022
28	3797678432449440	13841804538077774953	13845602216510224393	9.538678	Norman Luhn	08 Nov 2022
29	4232385302426820	15331197519910420843	15335429905212847663	10.36312	Norman Luhn	08 Nov 2022
30	4623565568742120	23389035398143583863	23393658963712325983	10.19595	Norman Luhn	08 Nov 2022
31	5676352844251320	31714033272570914113	31719709625415165433	11.61492	Norman Luhn	08 Nov 2022
32	6535646791704030	64338357386151096943	64344893032942800973	11.26073	Norman Luhn	08 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