A213647 Initial members of prime 11-tuplets: primes p such that p + (0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36) are all prime.

11, 7908189600581, 10527733922591, 12640876669691, 38545620633251, 43564522846961, 60268613366231, 60596839933361, 71431649320301, 79405799458871, 109319665100531, 153467532929981, 171316998238271, 216585060731771, 254583955361621, 259685796605351, 268349524548221

Offset: 1

Author

Matt C. Anderson, Jun 17 2012

Keywords

• nonn

Comments

0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 are the first terms of A135311.

All terms are congruent to 11 (modulo 210). - Zak Seidov, Sep 15 2014

Subsequence of A202282. - Zak Seidov, Sep 15 2014

All terms, except the first one, are congruent to 1271 (modulo 2310). - Matt C. Anderson, May 29 2015

Links

• Matt C. Anderson and Dana Jacobsen, Table of n, a(n) for n = 1..6800 (first 100 terms from Matt C. Anderson)
• Norman Luhn, Table of n, a(n) for n = 1..100000

Crossrefs

Cf. A135311, A202282.

Programs

Perl

use ntheory ":all"; say for sieve_prime_cluster(1,1e14, 2,6,8,12,18,20,26,30,32,36); # Dana Jacobsen, Oct 01 2015

Extensions

a(89) corrected by Dana Jacobsen, Oct 01 2015