A105691 Primes p such that both 2p + 3 and 4p + 5 are primes.

2, 17, 47, 113, 167, 467, 503, 617, 647, 827, 1013, 1109, 1277, 1307, 1553, 1583, 1847, 2087, 2129, 2309, 2399, 2777, 2789, 3137, 3209, 3767, 3779, 4007, 4157, 4229, 4259, 4523, 4637, 5087, 5297, 5393, 5417, 6257, 6287, 6389, 6719, 6737, 6833, 6863

Offset: 1

Author

Zak Seidov, Apr 17 2005

Keywords

• nonn

Comments

Primes from A105610.

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A005382, A005383, A105610.

Programs

Magma

[p: p in PrimesUpTo(7000) |IsPrime(4*p+5) and IsPrime(2*p+3)] // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Prime@ Range[900], AllTrue[{2 # + 3, 4 # + 5}, PrimeQ] &] (* Michael De Vlieger, Jan 22 2018 *)