A257305 Numbers n such that n, n+2, n+6, n+12, n+14, n+20, n+24, n+26, n+30, n+36, n+42, n+44, n+50, n+54 and n+56 are all prime.

17, 17905159760365247387, 44333554877816671757, 64777971223063936127, 84528323459951417987, 90798766993022298227, 151477098804870766217, 190685406656969508497, 191219032841144805437, 232425130317773743367, 269337329665351844837, 274875260256537447797

Offset: 1

Author

Tim Johannes Ohrtmann, Apr 20 2015

Keywords

• nonn

Links

• Dana Jacobsen, Table of n, a(n) for n = 1..36 [first 9 terms computed by Jim Morton and Jörg Waldvogel (2001-2009)]
• Tony Forbes and Norman Luhn, Prime k-tuplets
• Norman Luhn, Table of n, a(n) for n = 1..261 (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, this sequence, A257306, A257307.

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

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

Programs

Perl

use ntheory ":all"; say for sieve_prime_cluster(1, 10**16, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56); # Dana Jacobsen, Oct 24 2015

Extensions

More terms from Dana Jacobsen, Oct 21 2015