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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