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The big database of "The smallest prime k-tuplets"(compressed files)

last updated: 5 Dec 2021

first ... initial members

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kind of tuplet

pattern d

OEIS

1,000,000
2.52*108
twin primes
d = 0, 2
A001359
1,000,000
1,000,000
3.12*109
3.12*109
prime triplet
d = 0, 2, 6
d = 0, 4, 6
A022004
A022005
1,000,000
7.95*1010
prime quadruplet
d = 0, 2, 6, 8
A007530
1,000,000
1,000,000
1.36*1012
1.36*1012
prime quintuplet
d = 0, 2, 6, 8, 12
d = 0, 4, 6, 10, 12
A022006
A022007
1,000,000
4.66*1013
prime 6-tuplet
d = 0, 4, 6, 10, 12, 16
A022008
1,000,000
1,000,000
8.21*1014
8.22*1014
prime 7-tuplet
d = 0, 2, 6, 8, 12, 18, 20
d = 0, 2, 8, 12, 14, 18, 20
A022009
A022010
10,000,000
10,000,000
10,000,000
3.08*1017
3.08*1017
8.93*1016
prime 8-tuplet
d = 0, 2, 8, 12, 14, 18, 20, 26
d = 0, 2, 6, 12, 14, 20, 24, 26
d = 0, 6, 8, 14, 18, 20, 24, 26
A022011
A022012
A022013
2,251,885
4,502,184
4,501,205
2,250,272
1018
1018
1018
1018
prime 9-tuplet
d = 0, 2, 6, 8, 12, 18, 20, 26, 30
d = 0, 2, 6, 12, 14, 20, 24, 26, 30
d = 0, 4, 6, 10, 16, 18, 24, 28, 30
d = 0, 4, 10, 12, 18, 22, 24, 28, 30
A022545
A022546
A022547
A022548
5,118,442
5,111,631
1020
1020
prime 10-tuplet
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32
A027569
A027570
205,272
206,279
1020
1020
prime 11-tuplet
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
A213647
A213646
20,000
20,000
1.499*1020
1.478*1020
prime 12-tuplet
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42
d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42
A213645
A213601
5,012
6,305
5,290
6,264
5,307
5,579
1.16*1021
1.29*1021
1.29*1021
1.29*1021
1.29*1021
1.32*1021
prime 13-tuplet
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48
d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48
A257139
A257137
A257138
A257140
A257141
A214947
919
891
1022
1022
prime 14-tuplet
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50
d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50
A257167
A257168
73
68
261
278
1022
1022
1022
1022
prime 15-tuplet
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56
d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56
d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56
A257304
A257307
A257305
A257306
30
37
1023
1023
prime 16-tuplet
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60
d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60
A257369
A257370

More known initial prime k-tuplets