A023311 Primes that remain prime through 4 iterations of function f(x) = 4x + 3.

1447, 2207, 6211, 6607, 8369, 9769, 11821, 13537, 13729, 13781, 15581, 17231, 17497, 27817, 32059, 32569, 32611, 33647, 36251, 39079, 46381, 47417, 55127, 55171, 57077, 60869, 63361, 64327, 68927, 77951, 81619, 85469, 86767, 88001, 94099, 94477, 96149

Offset

1,1

Comments

Primes p such that 4*p+3, 16*p+15, 64*p+63 and 256*p+255 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

John Cerkan, Table of n, a(n) for n = 1..10000

Formula

a(n) == 3 or 9 (mod 14). - John Cerkan, Oct 04 2016

Prog

(Magma) [n: n in [1..1000000] | IsPrime(n) and IsPrime(4*n+3) and IsPrime(16*n+15) and IsPrime(64*n+63) and IsPrime(256*n+255)] // Vincenzo Librandi, Aug 04 2010

Crossrefs

Sequence in context: A031536 A181973 A226097 * A318710 A208486 A242038

Adjacent sequences: A023308 A023309 A023310 * A023312 A023313 A023314

Keyword

nonn

Author

David W. Wilson

Status

approved