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
5.075111
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 37338553629149579
28.54652
Martin Raab
2019
79
31920
37962553054417547 37962553054449419
28.87507
Martin Raab
2019
80
33042
38617975949216087 38617975949249099
29.88107
Martin Raab
2019
81
34692
52000545890760149 52000545890794799
30.88069
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