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

1,1

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

Prog

(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

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).

Sequence in context: A046844 A198244 A066953 * A257139 A257166 A257167

Adjacent sequences: A213642 A213643 A213644 * A213646 A213647 A213648

Keyword

nonn

Author

Matt C. Anderson, Jun 17 2012

Extensions

Corrected and extended by Dana Jacobsen, Oct 04 2015

Status

approved