A214947 Primes p such that p + (0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48) are all prime.

186460616596321, 7582919852522851, 31979851757518501, 49357906247864281, 79287805466244211, 85276506263432551, 89309633704415191, 89374633724310001, 98147762882334001, 136667406812471371, 137803293675931951, 152004604862224951, 157168285586497021, 159054409963103491

Offset: 1

Author

Matt C. Anderson, Jul 30 2012

Keywords

• nonn

Comments

These are prime 13-tuplets.

All terms congruent to 991 (modulo 2310). - Matt C. Anderson, May 29 2015

All terms congruent to 14851 or 24091 (modulo 30030). - Matt C. Anderson, May 31 2015

Links

• Vladimir Vlesycit and Matt C. Anderson and Dana Jacobsen, Table of n, a(n) for n = 1..854 [first 20 terms from Vladimir Vlesycit, first 82 terms from Matt C. Anderson]
• Tony Forbes and Norman Luhn, Smallest Prime k-tuplets
• Norman Luhn, Table of n, a(n) for n = 1..5579

Crossrefs

Cf. A186702.

Programs

Perl

use ntheory ":all"; say for sieve_prime_cluster(1,10**15, 6,12,16,18,22,28,30,36,40,42,46,48); # Dana Jacobsen, Oct 07 2015