Record Gaps Between Prime Quadruplets

References: OEIS A113404

Pattern d: d = 0, 2, 6, 8
Gap end
merit = 4.15118088 ·dt / log4 t
Gap start
Rank
Gap Size
Gap start
Next Prime Quadruplet
Merit
Who
When
1
6
5 11
1.588537
Alexei Kourbatov
2013
2
90
11 101
2.190879
Alexei Kourbatov
2013
3
630
191 821
1.909926
Alexei Kourbatov
2013
4
660
821 1481
1.125517
Alexei Kourbatov
2013
5
1170
2081 3251
1.262889
Alexei Kourbatov
2013
6
2190
3461 5651
1.818629
Alexei Kourbatov
2013
7
3780
5651 9431
2.488221
Alexei Kourbatov
2013
8
6420
25301 31721
2.409811
Alexei Kourbatov
2013
9
8940
34841 43781
2.966278
Alexei Kourbatov
2013
10
9030
88811 97841
2.186026
Alexei Kourbatov
2013
11
13260
122201 135461
2.872465
Alexei Kourbatov
2013
12
16470
171161 187631
3.192827
Alexei Kourbatov
2013
13
24150
301991 326141
3.906282
Alexei Kourbatov
2013
14
28800
739391 768191
3.564635
Alexei Kourbatov
2013
15
29610
1410971 1440581
3.048637
Alexei Kourbatov
2013
16
39990
1468631 1508621
4.067621
Alexei Kourbatov
2013
17
56580
2990831 3047411
4.739211
Alexei Kourbatov
2013
18
56910
3741161 3798071
4.493380
Alexei Kourbatov
2013
19
71610
5074871 5146481
5.221408
Alexei Kourbatov
2013
20
83460
5527001 5610461
5.952043
Alexei Kourbatov
2013
21
94530
8926451 9020981
5.973064
Alexei Kourbatov
2013
22
114450
17186591 17301041
6.162808
Alexei Kourbatov
2013
23
157830
21872441 22030271
8.023589
Alexei Kourbatov
2013
24
159060
47615831 47774891
6.757246
Alexei Kourbatov
2013
25
171180
66714671 66885851
6.743320
Alexei Kourbatov
2013
26
177360
76384661 76562021
6.780880
Alexei Kourbatov
2013
27
190500
87607361 87797861
7.067452
Alexei Kourbatov
2013
28
197910
122033201 122231111
6.833817
Alexei Kourbatov
2013
29
268050
132574061 132842111
9.092448
Alexei Kourbatov
2013
30
315840
204335771 204651611
9.777544
Alexei Kourbatov
2013
31
395520
628246181 628641701
9.747402
Alexei Kourbatov
2013
32
435240
1749443741 1749878981
8.806321
Alexei Kourbatov
2013
33
440910
2115383651 2115824561
8.609591
Alexei Kourbatov
2013
34
513570
2128346411 2128859981
10.01697
Alexei Kourbatov
2013
35
536010
2625166541 2625702551
10.05600
Alexei Kourbatov
2013
36
539310
2932936421 2933475731
9.913682
Alexei Kourbatov
2013
37
557340
3043111031 3043668371
10.17608
Alexei Kourbatov
2013
38
635130
3593321651 3593956781
11.24997
Alexei Kourbatov
2013
39
846060
5675642501 5676488561
13.80290
Alexei Kourbatov
2013
40
880530
25346635661 25347516191
11.09848
Alexei Kourbatov
2013
41
914250
27329170151 27330084401
11.37973
Alexei Kourbatov
2013
42
922860
35643379901 35644302761
10.99279
Alexei Kourbatov
2013
43
1004190
56390149631 56391153821
11.09930
Alexei Kourbatov
2013
44
1070490
60368686121 60369756611
11.70267
Alexei Kourbatov
2013
45
1087410
71335575131 71336662541
11.57320
Alexei Kourbatov
2013
46
1093350
76427973101 76429066451
11.50887
Alexei Kourbatov
2013
47
1198260
87995596391 87996794651
12.33337
Alexei Kourbatov
2013
48
1336440
96616771961 96618108401
13.55343
Alexei Kourbatov
2013
49
1336470
151023350501 151024686971
12.63715
Alexei Kourbatov
2013
50
1348440
164550390671 164551739111
12.58177
Alexei Kourbatov
2013
51
1370250
171577885181 171579255431
12.70280
Alexei Kourbatov
2013
52
1499940
210999769991 211001269931
13.46914
Alexei Kourbatov
2013
53
1550640
260522319641 260523870281
13.48303
Alexei Kourbatov
2013
54
2550750
342611795411 342614346161
21.27825
Alexei Kourbatov
2013
55
2561790
1970587668521 1970590230311
16.55752
Alexei Kourbatov
2013
56
2915940
4231588103921 4231591019861
16.94162
Alexei Kourbatov
2013
57
2924040
5314235268731 5314238192771
16.46648
Alexei Kourbatov
2013
58
2955660
7002440794001 7002443749661
16.03220
Alexei Kourbatov
2013
59
3422490
8547351574961 8547354997451
18.07219
Alexei Kourbatov
2013
60
3456720
15114108020021 15114111476741
16.91970
Alexei Kourbatov
2013
61
3884670
16837633318811 16837637203481
18.74614
Alexei Kourbatov
2013
62
4228350
30709975578251 30709979806601
18.87045
Alexei Kourbatov
2013
63
4537920
43785651890171 43785656428091
19.35257
Alexei Kourbatov
2013
64
4603410
47998980412211 47998985015621
19.40384
Alexei Kourbatov
2013
65
4884900
55341128536691 55341133421591
20.22238
Alexei Kourbatov
2013
66
5851320
92944027480721 92944033332041
22.69856
Alexei Kourbatov
2013
67
6499710
412724560672211 412724567171921
21.03435
Alexei Kourbatov
2013
68
6544740
473020890377921 473020896922661
20.84025
Alexei Kourbatov
2013
69
6568590
885441677887301 885441684455891
19.43329
Alexei Kourbatov
2013
70
6750330
947465687782631 947465694532961
19.81459
Alexei Kourbatov
2013
71
6983730
979876637827721 979876644811451
20.41992
Alexei Kourbatov
2013
72
7884960
1189478498150771 1189478506035731
22.54437
Carlos Eduardo Leal de Pinho
Jan 2020
73
8111670
1771671652580771 1771671660692441
22.15766
Robert Smith
Jan 2020
74
8185590
2547019142251601 2547019150437191
21.45831
Carlos Eduardo Leal de Pinho
Jan 2020
75
8395710
3228352730434961 3228352738830671
21.43055
Carlos Eduardo Leal de Pinho
Feb 2020
76
8845170
3358677223488941 3358677232334111
22.47801
Carlos Eduardo Leal de Pinho
Feb 2020
77
9049830
4675069123945391 4675069132995221
22.16649
Robert Smith
Feb 2020
78
9346380
4973407410305771 4973407419652151
22.73652
Robert Smith
Feb 2020
79
9835980
6326294490582761 6326294500418741
23.30085
Norman Luhn
15 Nov 2022
80
10046520
11738226070676381 11738226080722901
22.24867
Martin Raab
01 Jan 2023
81
10359930
14971749868908401 14971749879268331
22.34906
Martin Raab
16 Jan 2023
82
10661370
16214904435888071 16214904446549441
22.80337
Martin Raab
16 Jan 2023
83
10934820
17968846192154651 17968846203089471
23.13257
Martin Raab
22 Jan 2023
84
11732400
23836834389653861 23836834401386261
24.08419
Martin Raab
02 Feb 2023
Maximal gaps below 2.40 · 1016
Get compressed "The First Occurrence Gap Between Prime Quadruplets"-table