A257306 Numbers n such that n, n+2, n+6, n+12, n+14, n+20, n+26, n+30, n+32, n+36, n+42, n+44, n+50, n+54 and n+56 are all prime.

1158722981124148367, 1240068005144831867, 2243290806352501637, 3172206835341609797, 8402171449067476007, 9422138120166964847, 16485850001899818467, 16679857156627718057, 26082001869529405727, 28025081332808782877, 30304192466683200797, 34827058725936837287, 36351118555624575707, 44715422969365380887, 45912500276798107607, 47710850533373130107, 47939384425506704057, 48902741158702754327

Offset: 1

Author

Tim Johannes Ohrtmann, Apr 20 2015

Keywords

• nonn

Links

• Dana Jacobsen, Table of n, a(n) for n = 1..69 [first 32 terms computed by Tony Forbes and Jörg Waldvogel (1997-2009)]
• Tony Forbes and Norman Luhn, Prime k-tuplets
• Norman Luhn, Table of n, a(n) for n = 1..278 (up to 10^22)

Crossrefs

Initial members of all of the first prime k-tuplets:

twin primes: A001359.

prime triples: A007529 out of A022004, A022005.

prime quadruplets: A007530.

prime 5-tuples: A086140 out of A022007, A022006.

prime sextuplets: A022008.

prime septuplets: A257124 out of A022009, A022010.

prime octuplets: A065706 out of A022011, A022012, A022013.

prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.

prime decaplets: A257127 out of A027569, A027570.

prime 11-tuplets: A257129 out of A213646, A213647.

prime 12-tuplets: A257131 out of A213601, A213645.

prime 13-tuplets: A257135 out of A214947, A257137, A257138, A257139, A257140, A257141.

prime 14-tuplets: A257166 out of A257167, A257168.

prime 15-tuplets: A257169 out of A257304, A257305, this sequence, A257307.

prime 16-tuplets: A257308 out of A257369, A257370.

prime 17-tuplets: A257373 out of A257374, A257375, A257376, A257377.