← Record Gaps Between Twin Primes

References: OEIS A113274 & @Mersenneforum

Pattern d: d = 0, 2
Gap end merit = 1.32032363 ·∫dt / log2 t Gap start
Rank	Gap Size	Gap start	Next Twin Prime	Merit	Who	When
1	2	3	5	1.445810	Randall L. Rathbun	1998
2	6	5	11	1.948453	Randall L. Rathbun	1998
3	12	17	29	1.635470	Randall L. Rathbun	1998
4	18	41	59	1.560641	Randall L. Rathbun	1998
5	30	71	101	2.004066	Randall L. Rathbun	1998
6	36	311	347	1.415243	Randall L. Rathbun	1998
7	72	347	419	2.688998	Randall L. Rathbun	1998
8	150	659	809	4.552129	Randall L. Rathbun	1998
9	168	2381	2549	3.636832	Randall L. Rathbun	1998
10	210	5879	6089	3.665921	Randall L. Rathbun	1998
11	282	13397	13679	4.114085	Randall L. Rathbun	1998
12	372	18539	18911	5.075111	Randall L. Rathbun	1998
13	498	24419	24917	6.428788	Randall L. Rathbun	1998
14	630	62297	62927	6.818872	Randall L. Rathbun	1998
15	924	187907	188831	8.269411	Randall L. Rathbun	1998
16	930	687521	688451	6.796202	Randall L. Rathbun	1998
17	1008	688451	689459	7.364664	Randall L. Rathbun	1998
18	1452	850349	851801	10.28279	Randall L. Rathbun	1998
19	1512	2868959	2870471	9.028724	Randall L. Rathbun	1998
20	1530	4869911	4871441	8.519248	Randall L. Rathbun	1998
21	1722	9923987	9925709	8.759769	Randall L. Rathbun	1998
22	1902	14656517	14658419	9.223564	Randall L. Rathbun	1998
23	2190	17382479	17384669	10.40397	Randall L. Rathbun	1998
24	2256	30752231	30754487	10.02002	Randall L. Rathbun	1998
25	2832	32822369	32825201	12.48380	Randall L. Rathbun	1998
26	2868	96894041	96896909	11.19789	Randall L. Rathbun	1998
27	3012	136283429	136286441	11.33568	Randall L. Rathbun	1998
28	3102	234966929	234970031	11.02389	Randall L. Rathbun	1998
29	3180	248641037	248644217	11.23505	Randall L. Rathbun	1998
30	3480	255949949	255953429	12.25819	Randall L. Rathbun	1998
31	3804	390817727	390821531	12.83226	Randall L. Rathbun	1998
32	4770	698542487	698547257	15.18626	Randall L. Rathbun	1998
33	5292	2466641069	2466646361	14.93973	Randall L. Rathbun	1998
34	6030	4289385521	4289391551	16.18444	Randall L. Rathbun	1998
35	6282	19181736269	19181742551	14.79506	Randall L. Rathbun	1998
36	6474	24215097497	24215103971	14.95151	Randall L. Rathbun	1998
37	6552	24857578817	24857585369	15.09856	Randall L. Rathbun	1998
38	6648	40253418059	40253424707	14.72091	Randall L. Rathbun	1998
39	7050	42441715487	42441722537	15.54361	Randall L. Rathbun	1998
40	7980	43725662621	43725670601	17.55126	Randall L. Rathbun	1998
41	8040	65095731749	65095739789	17.12254	Randall L. Rathbun	1998
42	8994	134037421667	134037430661	18.08956	Marek Wolf	1999
43	9312	198311685749	198311695061	18.16933	Marek Wolf	1999
44	9318	223093059731	223093069049	18.01755	Marek Wolf	1999
45	10200	353503437239	353503447439	19.04609	Marek Wolf	1999
46	10338	484797803249	484797813587	18.85325	Marek Wolf	1999
47	10668	638432376191	638432386859	19.06301	Marek Wolf	1999
48	10710	784468515221	784468525931	18.85126	Marek Wolf	1999
49	11388	794623899269	794623910657	20.02584	Marek Wolf	1999
50	11982	1246446371789	1246446383771	20.39474	Marek Wolf	1999
51	12138	1344856591289	1344856603427	20.54799	Marek Wolf	1999
52	12288	1496875686461	1496875698749	20.64329	Marek Wolf	1999
53	12630	2156652267611	2156652280241	20.67568	Marek Wolf	1999
54	13050	2435613754109	2435613767159	21.18140	Marek Wolf	1999
55	14262	4491437003327	4491437017589	22.18628	Marek Wolf	1999
56	14436	13104143169251	13104143183687	20.89295	Marek Wolf	1999
57	14952	14437327538267	14437327553219	21.50158	Marek Wolf	1999
58	15396	18306891187511	18306891202907	21.79709	Richard Fischer	2008
59	15720	18853633225211	18853633240931	22.21297	Richard Fischer	2008
60	16362	23275487664899	23275487681261	22.80468	Richard Fischer	2008
61	16422	23634280586867	23634280603289	22.86557	Richard Fischer	2008
62	16590	38533601831027	38533601847617	22.38321	Richard Fischer	2008
63	16896	43697538391391	43697538408287	22.61387	Richard Fischer	2008
64	17082	56484333976919	56484333994001	22.49368	Richard Fischer	2008
65	18384	74668675816277	74668675834661	23.78699	Richard Fischer	2008
66	19746	116741875898981	116741875918727	24.84912	Richard Fischer	2008
67	19992	136391104728629	136391104748621	24.91878	Richard Fischer	2008
68	20532	221346439666109	221346439686641	24.84704	Richard Fischer	2008
69	21930	353971046703347	353971046725277	25.80021	Richard Fischer	2008
70	22548	450811253543219	450811253565767	26.14839	Richard Fischer	2008
71	23358	742914612256169	742914612279527	26.30315	Richard Fischer	2008
72	23382	1121784847637957	1121784847661339	25.70768	Richard Fischer	2008
73	25230	1149418981410179	1149418981435409	27.70057	Richard Fischer	2008
74	26268	2543288406389231	2543288406415499	27.56324	Tomás Oliveira e Silva	2013
75	28842	2797282815481499	2797282815510341	30.10238	Tomás Oliveira e Silva	2013
76	31302	12914226879316517	12914226879347819	30.03118	Robert Smith	2019
77	31482	16155559543324757	16155559543356239	29.84250	Thomas Ritschel	2019
78	31512	37338553629118097	37338553629149609	28.57373	Martin Raab	2019
79	31920	37962553054417547	37962553054449467	28.91856	Martin Raab	2019
80	33042	38617975949216087	38617975949249129	29.90823	Martin Raab	2019
81	34692	52000545890760149	52000545890794841	30.91813	Martin Raab	2020
82	35640	70478530884377381	70478530884413021	31.26706	Martin Raab	2021
Maximal gaps below 1.00 · 1017
Get "The First Occurrence Gap Between Twin Primes"-table