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Record Gaps Between Prime Sextuplets

Reference: OEIS A200503

Pattern d: d = 0, 4, 6, 10, 12, 16
Gap end
merit = 17.2986123 ·∫dt / log6 t
Gap start
Rank
Gap Size
Gap start
Next Prime Sextuplet
Merit
Who
When
1
90
 7 97
1.536198
Alexei Kourbatov
2013
2
15960
 97 16057
0.988893
Alexei Kourbatov
2013
3
24360
 19417 43777
0.349534
Alexei Kourbatov
2013
4
1047480
 43777 1091257
4.003192
Alexei Kourbatov
2013
5
2605680
 3400207 6005887
3.453097
Alexei Kourbatov
2013
6
2856000
 11664547 14520547
2.553504
Alexei Kourbatov
2013
7
3605070
 37055647 40660717
2.189943
Alexei Kourbatov
2013
8
4438560
 82984537 87423097
2.071054
Alexei Kourbatov
2013
9
5268900
 89483827 94752727
2.396421
Alexei Kourbatov
2013
10
17958150
 94752727 112710877
7.861491
Alexei Kourbatov
2013
11
21955290
 381674467 403629757
6.325648
Alexei Kourbatov
2013
12
23910600
 1569747997 1593658597
4.579626
Alexei Kourbatov
2013
13
37284660
 2019957337 2057241997
6.648726
Alexei Kourbatov
2013
14
40198200
 5892947647 5933145847
5.358874
Alexei Kourbatov
2013
15
62438460
 6797589427 6860027887
8.011193
Alexei Kourbatov
2013
16
64094520
 14048370097 14112464617
6.809219
Alexei Kourbatov
2013
17
66134250
 23438578897 23504713147
6.170700
Alexei Kourbatov
2013
18
70590030
 24649559647 24720149677
6.503658
Alexei Kourbatov
2013
19
77649390
 29637700987 29715350377
6.832421
Alexei Kourbatov
2013
20
83360970
 29869155847 29952516817
7.320650
Alexei Kourbatov
2013
21
90070470
 45555183127 45645253597
7.128676
Alexei Kourbatov
2013
22
93143820
 52993564567 53086708387
7.105316
Alexei Kourbatov
2013
23
98228130
 58430706067 58528934197
7.317846
Alexei Kourbatov
2013
24
117164040
 93378527647 93495691687
7.800965
Alexei Kourbatov
2013
25
131312160
 97236244657 97367556817
8.659272
Alexei Kourbatov
2013
26
151078830
 240065351077 240216429907
8.071615
Alexei Kourbatov
2013
27
154904820
 413974098817 414129003637
7.314858
Alexei Kourbatov
2013
28
158654580
 419322931117 419481585697
7.470387
Alexei Kourbatov
2013
29
159663630
 422088931207 422248594837
7.506827
Alexei Kourbatov
2013
30
182378280
 427190088877 427372467157
8.551691
Alexei Kourbatov
2013
31
194658240
 610418426197 610613084437
8.430597
Alexei Kourbatov
2013
32
215261760
 659829553837 660044815597
9.164079
Alexei Kourbatov
2013
33
230683530
 660863670277 661094353807
9.817196
Alexei Kourbatov
2013
34
245336910
 853633486957 853878823867
9.870656
Alexei Kourbatov
2013
35
258121710
 1089611097007 1089869218717
9.848321
Alexei Kourbatov
2013
36
263737740
 1247852774797 1248116512537
9.772229
Alexei Kourbatov
2013
37
311017980
 1475007144967 1475318162947
11.11751
Alexei Kourbatov
2013
38
322552230
 1914335271127 1914657823357
10.90664
Alexei Kourbatov
2013
39
342447210
 1953892356667 1954234803877
11.52923
Alexei Kourbatov
2013
40
421877610
 3428196061177 3428617938787
12.62229
Alexei Kourbatov
2013
41
475997340
 9367921374937 9368397372277
11.59710
Alexei Kourbatov
2013
42
507945690
 10254799647007 10255307592697
12.15298
Alexei Kourbatov
2013
43
509301870
 13786576306957 13787085608827
11.48752
Alexei Kourbatov
2013
44
629540730
 21016714812547 21017344353277
13.06810
Alexei Kourbatov
2013
45
659616720
 33157788914347 33158448531067
12.53242
Alexei Kourbatov
2013
46
797025180
 41348577354307 41349374379487
14.51453
Alexei Kourbatov
2013
47
813158010
 72702520226377 72703333384387
13.30518
Alexei Kourbatov
2013
48
823158840
 89165783669857 89166606828697
12.96337
Alexei Kourbatov
2013
49
854569590
 122421000846367 122421855415957
12.68805
Alexei Kourbatov
2013
50
888931050
 139864197232927 139865086163977
12.87766
Alexei Kourbatov
2013
51
1010092650
 147693859139077 147694869231727
14.48692
Alexei Kourbatov
2013
52
1018139850
 186009633998047 186010652137897
13.99798
Alexei Kourbatov
2013
53
1139590200
 202607131405027 202608270995227
15.42542
Alexei Kourbatov
2013
54
1152229260
 332396845335547 332397997564807
14.26129
Alexei Kourbatov
2013
55
1204960680
 424681656944257 424682861904937
14.27476
Alexei Kourbatov
2013
56
1457965740
 437804272277497 437805730243237
17.17869
Alexei Kourbatov
2013
57
1566232710
 1032372699789787 1032374266022497
15.87169
Norman Luhn
10 Nov 2022
58
1620857700
 1600994849293237 1600996470150937
15.22818
Norman Luhn
10 Nov 2022
59
1632772680
 1675691082158827 1675692714931507
15.22078
Norman Luhn
10 Nov 2022
60
1756969830
 1953149120049217 1953150877019047
15.95553
Norman Luhn
10 Nov 2022
61
1854693120
 2933983430433817 2933985285126937
15.72083
Norman Luhn
10 Nov 2022
62
1880371080
 3192170447351647 3192172327722727
15.71389
Norman Luhn
10 Nov 2022
63
1882303290
 3501289720505107 3501291602808397
15.48787
Norman Luhn
10 Nov 2022
64
2012265360
 3903367083559117 3903369095824477
16.25867
Norman Luhn
10 Nov 2022
65
2076020940
 4143640704921997 4143642780942937
16.60732
Norman Luhn
10 Nov 2022
66
2650231920
 6654545231260177 6654547881492097
19.59966
Norman Luhn
10 Nov 2022
67
2865745680
 21050295686721937 21050298552467617
17.58384
Norman Luhn
24 Nov 2022
68
2974185270
 23026103227984387 23026106202169657
17.99002
Norman Luhn
24 Nov 2022
69
3630679290
 25535582934721747 25535586565401037
21.60264
Norman Luhn
24 Nov 2022
70
3723060600
 43638888370669507 43638892093730107
20.35716
Norman Luhn
26 Nov 2022
71
4010279070
 49867754588827447 49867758599106517
21.47500
Norman Luhn
27 Nov 2022
72
4174554300
 146090192566317817 146090196740872117
18.94619
Martin Raab
08 Jan 2023
73
4276641390
 150065932805325067 150065937081966457
19.33058
Martin Raab
08 Jan 2023
74
4364876880
 171504561583793017 171504565948669897
19.33441
Martin Raab
08 Jan 2023
75
4522015260
 228212274857847097 228212279379862357
19.18669
Martin Raab
16 Jan 2023
76
4527413100
 228729106646744437 228729111174157537
19.20308
Martin Raab
16 Jan 2023
77
4802739270
 240452589152673967 240452593955413237
20.21870
Martin Raab
19 Jan 2023
78
5185264980
 284930826756619777 284930831941884757
21.28178
Martin Raab
22 Jan 2023
79
5402643960
 388692402485730517 388692407888374477
21.17321
Martin Raab
15 Feb 2023
Maximal gaps below 5.10 · 1017