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

1,1

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

Prog

(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

Crossrefs

Cf. A135311, A202282.

Sequence in context: A257131 A257129 A348480 * A072218 A046844 A198244

Adjacent sequences: A213644 A213645 A213646 * A213648 A213649 A213650

Keyword

nonn

Author

Matt C. Anderson, Jun 17 2012

Extensions

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

Status

approved