←
Record Gaps Between Prime Quintuplets

References: OEIS A201073 & OEIS A201062

Pattern d: d = 0, 2, 6, 8, 12
Gap end
merit = 10.1317949 ·∫dt / log5 t
Gap start
Rank
Gap Size
Gap start
Next Prime Quintuplet
Merit
Who
When
1
6
 5 11
2.014091
Alexei Kourbatov
2013
2
90
 11 101
1.615652
Alexei Kourbatov
2013
3
1380
 101 1481
1.475054
Alexei Kourbatov
2013
4
14580
 1481 16061
2.821400
Alexei Kourbatov
2013
5
21510
 22271 43781
1.812143
Alexei Kourbatov
2013
6
88830
 55331 144161
4.561779
Alexei Kourbatov
2013
7
97020
 536441 633461
2.382030
Alexei Kourbatov
2013
8
107100
 661091 768191
2.439605
Alexei Kourbatov
2013
9
112140
 1461401 1573541
1.945726
Alexei Kourbatov
2013
10
301890
 1615841 1917731
4.969311
Alexei Kourbatov
2013
11
401820
 5527001 5928821
4.462615
Alexei Kourbatov
2013
12
577710
 11086841 11664551
5.170724
Alexei Kourbatov
2013
13
689850
 35240321 35930171
4.398101
Alexei Kourbatov
2013
14
846210
 53266391 54112601
4.799780
Alexei Kourbatov
2013
15
857010
 72610121 73467131
4.461704
Alexei Kourbatov
2013
16
986160
 92202821 93188981
4.809118
Alexei Kourbatov
2013
17
1655130
 117458981 119114111
7.555860
Alexei Kourbatov
2013
18
2035740
 196091171 198126911
8.115696
Alexei Kourbatov
2013
19
2266320
 636118781 638385101
6.705826
Alexei Kourbatov
2013
20
2467290
 975348161 977815451
6.578094
Alexei Kourbatov
2013
21
2614710
 1156096301 1158711011
6.691992
Alexei Kourbatov
2013
22
3305310
 1277816921 1281122231
8.259169
Alexei Kourbatov
2013
23
3530220
 1347962381 1351492601
8.709582
Alexei Kourbatov
2013
24
3880050
 2195593481 2199473531
8.536129
Alexei Kourbatov
2013
25
3885420
 3128295551 3132180971
7.878418
Alexei Kourbatov
2013
26
5290440
 4015046591 4020337031
10.13547
Alexei Kourbatov
2013
27
5713800
 8280668651 8286382451
9.318915
Alexei Kourbatov
2013
28
6049890
 9027127091 9033176981
9.682723
Alexei Kourbatov
2013
29
6128340
 15686967971 15693096311
8.707265
Alexei Kourbatov
2013
30
7949040
 18901038971 18908988011
10.85660
Alexei Kourbatov
2013
31
7971270
 21785624291 21793595561
10.56575
Alexei Kourbatov
2013
32
10770150
 30310287431 30321057581
13.32532
Alexei Kourbatov
2013
33
11340840
 107604759671 107616100511
10.86452
Alexei Kourbatov
2013
34
12249510
 140760439991 140772689501
11.13382
Alexei Kourbatov
2013
35
12413190
 162661360481 162673773671
10.97012
Alexei Kourbatov
2013
36
14181000
 187735329491 187749510491
12.19014
Alexei Kourbatov
2013
37
16092930
 327978626531 327994719461
12.43832
Alexei Kourbatov
2013
38
16360350
 508259311991 508275672341
11.65040
Alexei Kourbatov
2013
39
16756740
 620537349191 620554105931
11.50052
Alexei Kourbatov
2013
40
16981320
 667672901711 667689883031
11.49880
Alexei Kourbatov
2013
41
17590230
 1079628551621 1079646141851
10.91339
Alexei Kourbatov
2013
42
19285140
 1104604933841 1104624218981
11.91569
Alexei Kourbatov
2013
43
19525590
 1182148717481 1182168243071
11.91775
Alexei Kourbatov
2013
44
22230180
 1197151034531 1197173264711
13.53780
Alexei Kourbatov
2013
45
22549470
 2286697462781 2286720012251
12.24026
Alexei Kourbatov
2013
46
29986530
 2435950632251 2435980618781
16.09760
Alexei Kourbatov
2013
47
32168520
 3276773115431 3276805283951
16.39860
Alexei Kourbatov
2013
48
36392070
 5229301162991 5229337555061
17.11766
Alexei Kourbatov
2013
49
38695230
 9196865051651 9196903746881
16.54361
Alexei Kourbatov
2013
50
40156200
 14660925945221 14660966101421
15.88783
Alexei Kourbatov
2013
51
40618500
 21006417451961 21006458070461
15.15051
Alexei Kourbatov
2013
52
40996500
 22175175736991 22175216733491
15.15726
Alexei Kourbatov
2013
53
41452320
 22726966063091 22727007515411
15.26464
Alexei Kourbatov
2013
54
47578140
 22931291089451 22931338667591
17.49498
Alexei Kourbatov
2013
55
48630870
 31060723328351 31060771959221
17.02567
Alexei Kourbatov
2013
56
55044570
 85489258071311 85489313115881
16.41605
Alexei Kourbatov
2013
57
58465680
 90913430825291 90913489290971
17.27011
Alexei Kourbatov
2013
58
65048220
 96730325054171 96730390102391
19.03021
Alexei Kourbatov
2013
59
65737980
 199672700175071 199672765913051
17.20662
Alexei Kourbatov
2013
60
70788900
 275444947505591 275445018294491
17.64948
Alexei Kourbatov
2013
61
73970820
 331992774272981 331992848243801
17.93356
Alexei Kourbatov
2013
62
79985130
 465968834865971 465968914851101
18.43783
Alexei Kourbatov
2013
63
82420290
 686535413263871 686535495684161
17.94572
Alexei Kourbatov
2013
64
88092570
 761914822198961 761914910291531
18.89097
Alexei Kourbatov
2013
65
89780040
 1144708485094541 1144708574874581
18.14893
Norman Luhn
11 Nov 2022
66
89999700
 1151759067731681 1151759157731381
18.17723
Norman Luhn
11 Nov 2022
67
92278290
 1652750938094561 1652751030372851
17.69660
Norman Luhn
11 Nov 2022
68
96260340
 2738101496927891 2738101593188231
17.18611
Norman Luhn
11 Nov 2022
69
106240140
 2783651538720581 2783651644960721
18.92392
Norman Luhn
11 Nov 2022
70
109965150
 2791544717194061 2791544827159211
19.57964
Norman Luhn
11 Nov 2022
71
113717100
 3943459477670891 3943459591387991
19.29233
Norman Luhn
12 Nov 2022
72
125811090
 4323771559383161 4323771685194251
21.07258
Norman Luhn
12 Nov 2022
73
131738370
 6044436969077321 6044437100815691
21.06681
Norman Luhn
13 Nov 2022
Maximal gaps below 1.00 · 1016

Pattern d: d = 0, 4, 6, 10, 12
Gap end
merit = 10.1317949 ·∫dt / log5 t
Gap start
Rank
Gap Size
Gap start
Next Prime Quintuplet
Merit
Who
When
1
90
 7 97
2.447286
Alexei Kourbatov
2013
2
1770
 97 1867
1.668845
Alexei Kourbatov
2013
3
2190
 3457 5647
0.528546
Alexei Kourbatov
2013
4
10080
 5647 15727
1.541767
Alexei Kourbatov
2013
5
24360
 19417 43777
2.109313
Alexei Kourbatov
2013
6
35910
 43777 79687
2.250890
Alexei Kourbatov
2013
7
156750
 101107 257857
6.260574
Alexei Kourbatov
2013
8
208620
 1621717 1830337
3.460981
Alexei Kourbatov
2013
9
304920
 3690517 3995437
3.856354
Alexei Kourbatov
2013
10
306390
 5425747 5732137
3.431607
Alexei Kourbatov
2013
11
328020
 8799607 9127627
3.160959
Alexei Kourbatov
2013
12
422190
 9511417 9933607
3.966749
Alexei Kourbatov
2013
13
526350
 16388917 16915267
4.195292
Alexei Kourbatov
2013
14
639330
 22678417 23317747
4.628609
Alexei Kourbatov
2013
15
706860
 31875577 32582437
4.637159
Alexei Kourbatov
2013
16
866460
 37162117 38028577
5.437616
Alexei Kourbatov
2013
17
1030770
 64210117 65240887
5.549032
Alexei Kourbatov
2013
18
1111620
 119732017 120843637
5.051827
Alexei Kourbatov
2013
19
1147440
 200271517 201418957
4.551967
Alexei Kourbatov
2013
20
1151100
 203169007 204320107
4.549408
Alexei Kourbatov
2013
21
1447530
 241307107 242754637
5.470321
Alexei Kourbatov
2013
22
1769670
 342235627 344005297
6.114615
Alexei Kourbatov
2013
23
1793070
 367358347 369151417
6.085234
Alexei Kourbatov
2013
24
2024610
 378200227 380224837
6.820180
Alexei Kourbatov
2013
25
2320170
 438140947 440461117
7.531215
Alexei Kourbatov
2013
26
2335080
 446609407 448944487
7.543325
Alexei Kourbatov
2013
27
2403570
 711616897 714020467
6.918590
Alexei Kourbatov
2013
28
3558030
 966813007 970371037
9.504986
Alexei Kourbatov
2013
29
4195500
 2044014607 2048210107
9.384832
Alexei Kourbatov
2013
30
4463130
 3510456787 3514919917
8.815000
Alexei Kourbatov
2013
31
4602360
 4700738167 4705340527
8.509854
Alexei Kourbatov
2013
32
5210190
 5798359657 5803569847
9.192503
Alexei Kourbatov
2013
33
5331060
 7896734467 7902065527
8.785638
Alexei Kourbatov
2013
34
5368530
 12654304207 12659672737
7.986841
Alexei Kourbatov
2013
35
5546520
 13890542377 13896088897
8.087940
Alexei Kourbatov
2013
36
5966220
 14662830817 14668797037
8.599858
Alexei Kourbatov
2013
37
6557670
 15434185927 15440743597
9.349536
Alexei Kourbatov
2013
38
6590640
 17375054227 17381644867
9.162912
Alexei Kourbatov
2013
39
7359450
 17537596327 17544955777
10.21156
Alexei Kourbatov
2013
40
8673840
 25988605537 25997279377
11.08034
Alexei Kourbatov
2013
41
9334500
 66407160637 66416495137
9.842651
Alexei Kourbatov
2013
42
9570330
 74862035617 74871605947
9.852137
Alexei Kourbatov
2013
43
12983670
 77710388047 77723371717
13.26671
Alexei Kourbatov
2013
44
14597820
 144124106167 144138703987
13.20737
Alexei Kourbatov
2013
45
16396710
 210222262087 210238658797
13.79162
Alexei Kourbatov
2013
46
17639070
 585234882097 585252521167
12.23750
Alexei Kourbatov
2013
47
18803070
 926017532047 926036335117
11.99440
Alexei Kourbatov
2013
48
23392830
 986089952917 986113345747
14.75314
Alexei Kourbatov
2013
49
24122280
 2819808136417 2819832258697
12.62237
Alexei Kourbatov
2013
50
26753370
 3013422626107 3013449379477
13.83811
Alexei Kourbatov
2013
51
26870130
 3538026326827 3538053196957
13.51678
Alexei Kourbatov
2013
52
27378120
 4674635167747 4674662545867
13.12718
Alexei Kourbatov
2013
53
28837200
 5757142722757 5757171559957
13.34358
Alexei Kourbatov
2013
54
30726150
 7464931087717 7464961813867
13.60544
Alexei Kourbatov
2013
55
33297270
 8402871269197 8402904566467
14.45306
Alexei Kourbatov
2013
56
33489540
 9292699799017 9292733288557
14.29316
Alexei Kourbatov
2013
57
33619740
 10985205390997 10985239010737
13.95339
Alexei Kourbatov
2013
58
36586110
 12992848206847 12992884792957
14.76716
Alexei Kourbatov
2013
59
42483960
 15589051692667 15589094176627
16.63967
Alexei Kourbatov
2013
60
44167530
 24096376903597 24096421071127
16.11067
Alexei Kourbatov
2013
61
44771370
 37371241083097 37371285854467
15.21609
Alexei Kourbatov
2013
62
58972920
 38728669335607 38728728308527
19.92864
Alexei Kourbatov
2013
63
67170090
 91572717670537 91572784840627
19.81901
Alexei Kourbatov
2013
64
69538470
 109950817237357 109950886775827
19.94399
Alexei Kourbatov
2013
65
72542190
 325554440818297 325554513360487
17.63879
Alexei Kourbatov
2013
66
73032960
 481567288596127 481567361629087
16.75342
Alexei Kourbatov
2013
67
74101230
 501796510663237 501796584764467
16.89541
Alexei Kourbatov
2013
68
76243980
 535243109721577 535243185965557
17.21921
Alexei Kourbatov
2013
69
78597210
 657351798174427 657351876771637
17.22252
Alexei Kourbatov
2013
70
86266530
 818872754682547 818872840949077
18.30600
Alexei Kourbatov
2013
71
107597490
 991851356676277 991851464273767
22.20589
Alexei Kourbatov
2013
72
112167180
 7836574258165897 7836574370333077
17.30974
Norman Luhn
23 Nov 2022
73
113994300
 8140099858614037 8140099972608337
17.50065
Norman Luhn
23 Nov 2022
74
123697560
 8232448271331367 8232448395028927
18.96111
Norman Luhn
23 Nov 2022
Maximal gaps below 1.00 · 1016


Record Gaps Between Prime Quintuplets Over All Patterns


Gap end
merit = 20.2635899 ·∫dt / log5 t
Gap start
Rank
Gap Size
Gap start
Next Prime Quintuplet
Merit
Who
When
1
2
 5 7
2.325345
Norman Luhn
17 Jan 2023
2
4
 7 11
1.702838
Norman Luhn
17 Jan 2023
3
86
 11 97
3.191734
Norman Luhn
17 Jan 2023
4
1380
 101 1481
2.950108
Norman Luhn
17 Jan 2023
5
1590
 1867 3457
1.074268
Norman Luhn
17 Jan 2023
6
2190
 3457 5647
1.057092
Norman Luhn
17 Jan 2023
7
10080
 5647 15727
3.083535
Norman Luhn
17 Jan 2023
8
21506
 22271 43777
3.623705
Norman Luhn
17 Jan 2023
9
24356
 55331 79687
2.913718
Norman Luhn
17 Jan 2023
10
43054
 101107 144161
3.963805
Norman Luhn
17 Jan 2023
11
48724
 470077 518801
2.548873
Norman Luhn
17 Jan 2023
12
90176
 536441 626617
4.437438
Norman Luhn
17 Jan 2023
13
208620
 1621717 1830337
6.921963
Norman Luhn
17 Jan 2023
14
296520
 9627461 9923981
5.562460
Norman Luhn
17 Jan 2023
15
403530
 17958757 18362287
6.267510
Norman Luhn
17 Jan 2023
16
415594
 37162117 37577711
5.225229
Norman Luhn
17 Jan 2023
17
449104
 49682617 50131721
5.200557
Norman Luhn
17 Jan 2023
18
680524
 53432077 54112601
7.716635
Norman Luhn
17 Jan 2023
19
818580
 134702797 135521377
7.212090
Norman Luhn
17 Jan 2023
20
937024
 197189887 198126911
7.465643
Norman Luhn
17 Jan 2023
21
976170
 373604711 374580881
6.599401
Norman Luhn
17 Jan 2023
22
977970
 493287161 494265131
6.165704
Norman Luhn
17 Jan 2023
23
1034284
 637350817 638385101
6.119238
Norman Luhn
17 Jan 2023
24
1091670
 712555001 713646671
6.284055
Norman Luhn
17 Jan 2023
25
1359544
 860705887 862065431
7.473265
Norman Luhn
17 Jan 2023
26
1395450
 1009180807 1010576257
7.380909
Norman Luhn
17 Jan 2023
27
1626454
 1157084557 1158711011
8.324521
Norman Luhn
17 Jan 2023
28
1924226
 1389333221 1391257447
9.428118
Norman Luhn
17 Jan 2023
29
2203860
 3194724097 3196927957
8.895217
Norman Luhn
17 Jan 2023
30
2354396
 4380061991 4382416387
8.846522
Norman Luhn
17 Jan 2023
31
2934034
 6265437247 6268371281
10.17714
Norman Luhn
17 Jan 2023
32
3405240
 8716936927 8720342167
10.98387
Norman Luhn
17 Jan 2023
33
4144050
 9027682837 9031826887
13.26505
Norman Luhn
17 Jan 2023
34
4612650
 25746845471 25751458121
11.80798
Norman Luhn
17 Jan 2023
35
4694040
 27095815927 27100509967
11.88916
Norman Luhn
17 Jan 2023
36
4770026
 57004580441 57009350467
10.37335
Norman Luhn
17 Jan 2023
37
6252450
 64749989531 64756241981
13.25276
Norman Luhn
17 Jan 2023
38
6281974
 125461072567 125467354541
11.67908
Norman Luhn
17 Jan 2023
39
6671400
 140763439507 140770110907
12.12753
Norman Luhn
17 Jan 2023
40
6745830
 217403883371 217410629201
11.27535
Norman Luhn
17 Jan 2023
41
6969390
 219466456207 219473425597
11.62797
Norman Luhn
17 Jan 2023
42
7032810
 254585915951 254592948761
11.40592
Norman Luhn
17 Jan 2023
43
7697040
 259545134411 259552831451
12.43742
Norman Luhn
17 Jan 2023
44
8009910
 267613646467 267621656377
12.86786
Norman Luhn
17 Jan 2023
45
8632800
 323447704751 323456337551
13.37977
Norman Luhn
17 Jan 2023
46
9352856
 416795008571 416804361427
13.82181
Norman Luhn
17 Jan 2023
47
11596620
 496350264491 496361861111
16.58902
Norman Luhn
17 Jan 2023
48
12356190
 1722002217907 1722014574097
14.10324
Norman Luhn
17 Jan 2023
49
12414146
 2247007282901 2247019697047
13.51878
Norman Luhn
17 Jan 2023
50
12635700
 2440461612221 2440474247921
13.56199
Norman Luhn
17 Jan 2023
51
12828270
 2817723775117 2817736603387
13.42693
Norman Luhn
17 Jan 2023
52
14258580
 3099650725597 3099664984177
14.67822
Norman Luhn
17 Jan 2023
53
14490626
 3302152083611 3302166574237
14.75407
Norman Luhn
17 Jan 2023
54
15047344
 3590553662947 3590568710291
15.10031
Norman Luhn
17 Jan 2023
55
18575340
 3971417681677 3971436257017
18.31907
Norman Luhn
17 Jan 2023
56
19136966
 11271950385581 11271969522547
15.81706
Norman Luhn
17 Jan 2023
57
20070120
 11626054158281 11626074228401
16.50322
Norman Luhn
17 Jan 2023
58
21305516
 13968495046601 13968516352117
16.99426
Norman Luhn
17 Jan 2023
59
24819274
 15722575542757 15722600362031
19.41463
Norman Luhn
17 Jan 2023
60
26535600
 55267748077897 55267774613497
16.94894
Norman Luhn
17 Jan 2023
61
26866860
 101916005765921 101916032632781
15.59324
Norman Luhn
19 Jan 2023
62
26963876
 120618225533411 120618252497287
15.24716
Norman Luhn
19 Jan 2023
63
28451606
 120632651965361 120632680416967
16.08812
Norman Luhn
19 Jan 2023
64
28761814
 139357211063167 139357239824981
15.90644
Norman Luhn
19 Jan 2023
65
29069246
 146710464482501 146710493551747
15.95015
Norman Luhn
19 Jan 2023
66
29348460
 152377895932391 152377925280851
16.01012
Norman Luhn
19 Jan 2023
67
31270804
 153561290445457 153561321716261
17.03860
Norman Luhn
19 Jan 2023
68
32676720
 174263039990857 174263072667577
17.46395
Norman Luhn
19 Jan 2023
69
34005810
 193262636332387 193262670338197
17.89020
Norman Luhn
19 Jan 2023
70
39872876
 239249216549501 239249256422377
20.30928
Norman Luhn
19 Jan 2023
71
40033140
 414088181123621 414088221156761
18.78246
Norman Luhn
19 Jan 2023
72
46997490
 555818816805607 555818863803097
21.11050
Norman Luhn
19 Jan 2023
73
52505970
 932750269787377 932750322293347
21.86612
Norman Luhn
20 Jan 2023
Maximal gaps below 1.00 · 1015