Record Gaps Between Prime Septuplets

References: OEIS A201051 & OEIS A201251

Pattern d: d = 0, 2, 6, 8, 12, 18, 20
Gap end
merit = 53.9719483 ·dt / log7 t
Gap start
Rank
Gap Size
Gap start
Next Prime Septuplet
Merit
Who
When
1
165690
11 165701
1.688141
Alexei Kourbatov
2013
2
903000
165701 1068701
0.718936
Alexei Kourbatov
2013
3
10831800
1068701 11900501
2.814128
Alexei Kourbatov
2013
4
13773480
25658441 39431921
1.611268
Alexei Kourbatov
2013
5
22813770
45002591 67816361
2.142501
Alexei Kourbatov
2013
6
31090080
93625991 124716071
2.259459
Alexei Kourbatov
2013
7
43751820
257016491 300768311
2.246603
Alexei Kourbatov
2013
8
60881310
367438061 428319371
2.753924
Alexei Kourbatov
2013
9
86746170
575226131 661972301
3.362567
Alexei Kourbatov
2013
10
118516860
1228244651 1346761511
3.580671
Alexei Kourbatov
2013
11
239951250
1459270271 1699221521
6.775938
Alexei Kourbatov
2013
12
281573040
2923666841 3205239881
6.406507
Alexei Kourbatov
2013
13
359932650
10180589591 10540522241
5.600354
Alexei Kourbatov
2013
14
384903750
15821203241 16206106991
5.253821
Alexei Kourbatov
2013
15
518385000
23393094071 23911479071
6.305616
Alexei Kourbatov
2013
16
902801550
37846533071 38749334621
9.548660
Alexei Kourbatov
2013
17
1027007520
158303571521 159330579041
7.302347
Alexei Kourbatov
2013
18
1086331680
350060308511 351146640191
6.250454
Alexei Kourbatov
2013
19
1329198570
382631592641 383960791211
7.474687
Alexei Kourbatov
2013
20
2176467090
711854781551 714031248641
10.41354
Alexei Kourbatov
2013
21
2413348560
2879574595811 2881987944371
8.142756
Alexei Kourbatov
2013
22
2724874950
3379186846151 3381911721101
8.842867
Alexei Kourbatov
2013
23
2805731040
5102247756491 5105053487531
8.245032
Alexei Kourbatov
2013
24
3236431380
5987254671311 5990491102691
9.154619
Alexei Kourbatov
2013
25
3558417450
7853481899561 7857040317011
9.439041
Alexei Kourbatov
2013
26
4079266380
11824063534091 11828142800471
9.832192
Alexei Kourbatov
2013
27
5280328410
16348094430581 16353374758991
11.80825
Alexei Kourbatov
2013
28
6089169450
44226969237161 44233058406611
10.87031
Alexei Kourbatov
2013
29
8106605220
54763336591961 54771443197181
13.80121
Alexei Kourbatov
2013
30
8192466870
154325181803321 154333374270191
11.13086
Alexei Kourbatov
2013
31
8398194420
157436722520921 157445120715341
11.36168
Alexei Kourbatov
2013
32
8579120550
281057032201481 281065611322031
10.26309
Alexei Kourbatov
2013
33
9001280190
294887168565161 294896169845351
10.65992
Alexei Kourbatov
2013
34
11138672370
309902902299701 309914040972071
13.05432
Alexei Kourbatov
2013
35
12218589390
419341934631071 419354153220461
13.44350
Alexei Kourbatov
2013
36
13164383820
854077393259801 854090557643621
12.51222
Alexei Kourbatov
2013
37
13412112000
1287032740322501 1287046152434501
11.73238
Norman Luhn
11 Nov 2022
38
14627769870
1287837427840961 1287852055610831
12.79418
Norman Luhn
11 Nov 2022
39
16201309950
1546705949563121 1546722150873071
13.65910
Norman Luhn
11 Nov 2022
40
16834460790
1562479425044381 1562496259505171
14.16411
Norman Luhn
11 Nov 2022
41
17565492840
3584511791361491 3584529356854331
12.54122
Norman Luhn
11 Nov 2022
42
17861894610
4286223364335161 4286241226229771
12.31599
Norman Luhn
11 Nov 2022
43
18296731530
4256202388709261 4256220685440791
12.63307
Norman Luhn
11 Nov 2022
44
19492997160
4574826520578311 4574846013575471
13.27155
Norman Luhn
11 Nov 2022
45
22169881020
5423096204411771 5423118374292791
14.60494
Norman Luhn
11 Nov 2022
46
24332786100
7158931949610431 7158956282396531
15.19551
Norman Luhn
11 Nov 2022
47
24598007070
9528916676356151 9528941274363221
14.54463
Norman Luhn
11 Nov 2022
48
26886742260
13725091836704861 13725118723447121
14.83678
Norman Luhn
24 Nov 2022
49
28638152340
15773525045646281 15773553683798621
15.39525
Norman Luhn
24 Nov 2022
50
38182265940
19076409136724111 19076447318990051
19.80826
Norman Luhn
24 Nov 2022
51
39828828060
38726750725108541 38726790553936601
18.12573
Norman Luhn
24 Nov 2022
52
42100579290
75229732538414801 75229774638994091
16.98203
Norman Luhn
25 Nov 2022
Maximal gaps below 1.00 · 1017

Pattern d: d = 0, 2, 8, 12, 14, 18, 20
Gap end
merit = 53.9719483 ·dt / log7 t
Gap start
Rank
Gap Size
Gap start
Next Prime Septuplet
Merit
Who
When
1
83160
5639 88799
0.346488
Alexei Kourbatov
2013
2
195930
88799 284729
0.286450
Alexei Kourbatov
2013
3
341880
284729 626609
0.295756
Alexei Kourbatov
2013
4
5414220
1146779 6560999
1.706593
Alexei Kourbatov
2013
5
9270030
8573429 17843459
1.592096
Alexei Kourbatov
2013
6
18980220
24001709 42981929
2.202832
Alexei Kourbatov
2013
7
25622520
43534019 69156539
2.409908
Alexei Kourbatov
2013
8
36077370
87988709 124066079
2.653196
Alexei Kourbatov
2013
9
51597630
157131419 208729049
3.092750
Alexei Kourbatov
2013
10
92184750
522911099 615095849
3.678877
Alexei Kourbatov
2013
11
125523090
706620359 832143449
4.514596
Alexei Kourbatov
2013
12
140407470
1590008669 1730416139
3.898853
Alexei Kourbatov
2013
13
141896370
2346221399 2488117769
3.484702
Alexei Kourbatov
2013
14
336026460
3357195209 3693221669
7.310985
Alexei Kourbatov
2013
15
403369470
11768282159 12171651629
6.007878
Alexei Kourbatov
2013
16
435390270
30717348029 31152738299
4.897555
Alexei Kourbatov
2013
17
442452570
33788417009 34230869579
4.842449
Alexei Kourbatov
2013
18
627852330
62923039169 63550891499
5.758068
Alexei Kourbatov
2013
19
754383210
68673910169 69428293379
6.749610
Alexei Kourbatov
2013
20
1008582120
88850237459 89858819579
8.397723
Alexei Kourbatov
2013
21
1021464990
163288980299 164310445289
7.202334
Alexei Kourbatov
2013
22
1073692620
196782371699 197856064319
7.199282
Alexei Kourbatov
2013
23
1088148810
421204876439 422293025249
5.964605
Alexei Kourbatov
2013
24
1145336850
427478111309 428623448159
6.253781
Alexei Kourbatov
2013
25
1568502810
487635377219 489203880029
8.274770
Alexei Kourbatov
2013
26
1831427220
994838839439 996670266659
8.047248
Alexei Kourbatov
2013
27
1981464870
1554893017199 1556874482069
7.782617
Alexei Kourbatov
2013
28
2112833100
2088869793539 2090982626639
7.712873
Alexei Kourbatov
2013
29
2124912720
2104286376329 2106411289049
7.742911
Alexei Kourbatov
2013
30
2524750410
2704298257469 2706823007879
8.650213
Alexei Kourbatov
2013
31
2563342320
3550904257709 3553467600029
8.219374
Alexei Kourbatov
2013
32
3703761600
4438966968419 4442670730019
11.25323
Alexei Kourbatov
2013
33
4007885700
9996858589169 10000866474869
10.04573
Alexei Kourbatov
2013
34
4510983120
21937527068909 21942038052029
9.431002
Alexei Kourbatov
2013
35
4684341270
29984058230039 29988742571309
9.123705
Alexei Kourbatov
2013
36
5008335150
30136375346249 30141383681399
9.743596
Alexei Kourbatov
2013
37
5458736640
32779504324739 32784963061379
10.42064
Alexei Kourbatov
2013
38
5459261010
40372176609629 40377635870639
9.946125
Alexei Kourbatov
2013
39
5538301020
42762127106969 42767665407989
9.961421
Alexei Kourbatov
2013
40
5853061830
54620176867169 54626029928999
9.970451
Alexei Kourbatov
2013
41
7142583420
63358011407219 63365153990639
11.77491
Alexei Kourbatov
2013
42
7395601290
79763188368959 79770583970249
11.59123
Alexei Kourbatov
2013
43
7524703830
109974651670769 109982176374599
10.99752
Alexei Kourbatov
2013
44
8171975700
145568747217989 145576919193689
11.24297
Alexei Kourbatov
2013
45
8428843500
196317277557209 196325706400709
10.87851
Alexei Kourbatov
2013
46
8567796510
221953318490999 221961886287509
10.77344
Alexei Kourbatov
2013
47
9121701330
249376874266769 249385995968099
11.19074
Alexei Kourbatov
2013
48
9626062320
290608782523049 290618408585369
11.43488
Alexei Kourbatov
2013
49
11248937910
310213774327979 310225023265889
13.18077
Alexei Kourbatov
2013
50
11485174050
471088826892779 471100312066829
12.33503
Alexei Kourbatov
2013
51
12971201880
631565753063879 631578724265759
13.11353
Alexei Kourbatov
2013
52
15375948840
665514714418439 665530090367279
15.37850
Alexei Kourbatov
2013
53
19295924760
2170156154684039 2170175450608799
15.20693
Norman Luhn
11 Nov 2022
54
20356705950
4646664842384429 4646685199090379
13.81775
Norman Luhn
11 Nov 2022
55
21646799790
5069895255182489 5069916901982279
14.44729
Norman Luhn
11 Nov 2022
56
22126391700
5135889251602379 5135911377994079
14.73046
Norman Luhn
11 Nov 2022
57
22930766670
10177783172013629 10177806102780299
13.39008
Norman Luhn
11 Nov 2022
58
23611242480
10884814410333749 10884838021576229
13.61285
Norman Luhn
11 Nov 2022
59
27155401350
11176819587569549 11176846742970899
15.57786
Norman Luhn
11 Nov 2022
60
28161022890
15264678123669419 15264706284692309
15.23226
Norman Luhn
11 Nov 2022
61
28751240700
20981707666266029 20981736417506729
14.65314
Norman Luhn
11 Nov 2022
62
30097138890
21953477741043839 21953507838182729
15.21036
Norman Luhn
11 Nov 2022
63
35278237890
24106457559841829 24106492838079719
17.52152
Norman Luhn
24 Nov 2022
64
36240351840
24417972248919239 24418008489271079
17.95655
Norman Luhn
24 Nov 2022
65
41722072350
39329943754173209 39329985476245559
18.93363
Norman Luhn
24 Nov 2022
Maximal gaps below 1.00 · 1017


Record Gaps Between Prime Septuplets Over All Patterns


Gap end
merit = 107.9438966 ·dt / log7 t
Gap start
Rank
Gap Size
Gap start
Next Prime Septuplets
Merit
Who
When
1
5628
11 5639
2.411193
Norman Luhn
17 Jan 2023
2
83160
5639 88799
0.692977
Norman Luhn
17 Jan 2023
3
119028
165701 284729
0.300790
Norman Luhn
17 Jan 2023
4
341880
284729 626609
0.591512
Norman Luhn
17 Jan 2023
5
5414220
1146779 6560999
3.413186
Norman Luhn
17 Jan 2023
6
13773480
25658441 39431921
3.222536
Norman Luhn
17 Jan 2023
7
22813770
45002591 67816361
4.285002
Norman Luhn
17 Jan 2023
8
30440088
93625991 124066079
4.429143
Norman Luhn
17 Jan 2023
9
33424818
327864611 361289429
3.181293
Norman Luhn
17 Jan 2023
10
34863108
367438061 402301169
3.190326
Norman Luhn
17 Jan 2023
11
39869718
575226131 615095849
3.131608
Norman Luhn
17 Jan 2023
12
66303048
1228244651 1294547699
4.033393
Norman Luhn
17 Jan 2023
13
70350000
1519658669 1590008669
3.992120
Norman Luhn
17 Jan 2023
14
109212852
1590008669 1699221521
6.083868
Norman Luhn
17 Jan 2023
15
131165160
3008352029 3139517189
5.962059
Norman Luhn
17 Jan 2023
16
161786520
8436205691 8597992211
5.344403
Norman Luhn
17 Jan 2023
17
228283230
13835037311 14063320541
6.494341
Norman Luhn
17 Jan 2023
18
257159490
15863572589 16120732079
7.023074
Norman Luhn
17 Jan 2023
19
289262610
19763247389 20052509999
7.403026
Norman Luhn
17 Jan 2023
20
350304570
47827797749 48178102319
6.946639
Norman Luhn
17 Jan 2023
21
439508622
81720304649 82159813271
7.497362
Norman Luhn
17 Jan 2023
22
561983940
130121377481 130683361421
8.432725
Norman Luhn
17 Jan 2023
23
571529112
338490796739 339062325851
6.636580
Norman Luhn
17 Jan 2023
24
777665070
378184596059 378962261129
8.770142
Norman Luhn
17 Jan 2023
25
815371200
632131550579 632946921779
8.046174
Norman Luhn
17 Jan 2023
26
908352732
811003946099 811912298831
8.409066
Norman Luhn
17 Jan 2023
27
1063368810
819221051261 820284420071
9.818608
Norman Luhn
17 Jan 2023
28
1211707350
1330453426439 1331665133789
9.897261
Norman Luhn
17 Jan 2023
29
1234420782
2219662600019 2220897020801
8.879064
Norman Luhn
17 Jan 2023
30
1261947498
3618415983641 3619677931139
8.056424
Norman Luhn
17 Jan 2023
31
1468079298
4064130673901 4065598753199
9.113016
Norman Luhn
17 Jan 2023
32
1887408222
4683800652899 4685688061121
11.32278
Norman Luhn
17 Jan 2023
33
1947769572
15457675215119 15459622984691
8.824766
Norman Luhn
17 Jan 2023
34
2478988722
17668104903719 17670583892441
10.89154
Norman Luhn
17 Jan 2023
35
3484084380
18865153070831 18868637155211
15.07907
Norman Luhn
17 Jan 2023
36
3523349172
57075938362349 57079461711521
11.88764
Norman Luhn
17 Jan 2023
37
3668832300
66634278495131 66637947327431
11.96310
Norman Luhn
17 Jan 2023
38
3677810220
99373821578399 99377499388619
10.98935
Norman Luhn
17 Jan 2023
39
3704425998
141387806832731 141391511258729
10.25709
Norman Luhn
17 Jan 2023
40
3974542320
147400207111679 147404181653999
10.90705
Norman Luhn
17 Jan 2023
41
4296334602
178458970788809 178463267123411
11.31756
Norman Luhn
17 Jan 2023
42
5343753870
185072465945441 185077809699311
13.96792
Norman Luhn
17 Jan 2023
43
5372585022
393208334708459 393213707293481
11.98176
Norman Luhn
17 Jan 2023
44
5842028388
503820405016541 503826247044929
12.37540
Norman Luhn
17 Jan 2023
45
6549026022
566548557083219 566555106109241
13.54107
Norman Luhn
17 Jan 2023
46
7247706060
1235175843036251 1235183090742311
12.78544
Norman Luhn
18 Jan 2023
47
7268347422
1703169634352099 1703176902699521
12.02191
Norman Luhn
18 Jan 2023
48
8270089212
2017317988864679 2017326258953891
13.22543
Norman Luhn
18 Jan 2023
49
8425586190
2175705123427931 2175713549014121
13.27353
Norman Luhn
18 Jan 2023
50
9564343950
2710640296617551 2710649860961501
14.42702
Norman Luhn
18 Jan 2023
51
9848718180
3417906881673281 3417916730391461
14.19487
Norman Luhn
19 Jan 2023
52
11447130828
3510982467857981 3510993914988809
16.41216
Norman Luhn
19 Jan 2023
53
12557720952
4534734118206359 4534746675927311
17.12876
Norman Luhn
19 Jan 2023
54
16763556012
8025455431960649 8025472195516661
20.48424
Norman Luhn
19 Jan 2023
Maximal gaps below 1.00 · 1016