A023262 Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.

13, 43, 103, 139, 199, 349, 397, 577, 727, 733, 829, 967, 1039, 1303, 1567, 1597, 1753, 2131, 2161, 2311, 2707, 2719, 2857, 3109, 3319, 3613, 3673, 3697, 3853, 4051, 4129, 4201, 4297, 4441, 4507, 4513, 4639, 4663, 4789, 5503, 5701, 5743, 5857, 5953, 6121

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Comments

Primes p such that 8*p+5 and 64*p+45 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

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

Crossrefs

Subsequence of A023230, A105133.

Programs

Magma

[n: n in [1..100000] | IsPrime(n) and IsPrime(8*n+5) and IsPrime(64*n+45)] // Vincenzo Librandi, Aug 04 2010

Formula

a(n) == 1 (mod 6). - John Cerkan, Sep 16 2016