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

1,1

Links

Table of n, a(n) for n=1..48.

Mathematica

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

Prog

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

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

Sequence in context: A023212 A106952 A106951 * A049492 A166283 A350676

Adjacent sequences: A106054 A106055 A106056 * A106058 A106059 A106060

Keyword

nonn

Author

Zak Seidov, May 07 2005

Extensions

More terms from Vincenzo Librandi, Apr 01 2010

Status

approved