A106057 Primes p such that 1*p + 4 and 4*p + 1 are primes.

3, 7, 13, 37, 43, 67, 79, 97, 127, 163, 193, 277, 307, 487, 499, 673, 739, 853, 883, 1087, 1093, 1297, 1423, 1429, 1549, 1567, 1579, 1597, 1663, 2293, 2437, 2683, 2953, 3037, 3163, 3457, 3793, 3907, 3943, 4447, 4519, 4729, 4789, 4999, 5503, 5527, 5569, 5653

Offset: 1

Author

Zak Seidov, May 07 2005

Keywords

• nonn

Crossrefs

Cf. A045536 (primes p such that 1*p + 2 and 2*p + 1 are primes).

Intersection of A023200 and A023212. - Michel Marcus, Jan 20 2018

Programs

Magma

[p: p in PrimesUpTo(100000)| IsPrime(p+4) and IsPrime(4*p+1)]; // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Prime[Range[220]], PrimeQ[4#+1]&&PrimeQ[1#+4]&]

Extensions

More terms from Vincenzo Librandi, Apr 01 2010