A213645 Initial members of prime 12-tuplets. Primes p such that p + (0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42) are all prime.

11, 380284918609481, 437163765888581, 701889794782061, 980125031081081, 1277156391416021, 1487854607298791, 1833994713165731, 2115067287743141, 2325810733931801, 3056805353932061, 3252606350489381, 3360877662097841, 3501482688249431, 3595802556731501

Offset: 1

Author

Matt C. Anderson, Jun 17 2012

Keywords

• nonn

Comments

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..2807 [first 83 entries by Matt C. Anderson]
• Tony Forbes and Norman Luhn, prime k-tuplets
• Norman Luhn, Table of n, a(n) for n = 1..20000
• Wikipedia, Prime k-tuple

Crossrefs

Cf. A022545, A022546, A022547, and A022548 (prime 9-tuplets).

Cf. A135311, 2*A101448 (both begin with 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42).

Programs

Perl

use ntheory ":all"; say for sieve_prime_cluster(1, 10**15, 2,6,8,12,18,20,26,30,32,36,42); # Dana Jacobsen, Oct 04 2015

Extensions

Corrected and extended by Dana Jacobsen, Oct 04 2015