A238699 Primes p such that 2p + 3 and 4p + 3 are both prime.

2, 5, 7, 17, 19, 47, 67, 89, 157, 227, 229, 307, 349, 439, 467, 487, 509, 599, 647, 797, 929, 1039, 1187, 1217, 1237, 1259, 1307, 1427, 1447, 1567, 1789, 2027, 2309, 2467, 2539, 2707, 2789, 2819, 3167, 3457, 3499, 3659, 3877, 3919, 4057, 4079, 4157, 4289, 4297

Offset

1,1

Comments

Intersection of A023204 and A023213.

Primes in A115334.

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Example

89 is in the sequence because 2*89 + 3 = 181 and 4*89 + 3 = 359 are both prime.

Mathematica

Select[Prime[Range[600]], AllTrue[{2#+3, 4#+3}, PrimeQ]&] (* Harvey P. Dale, Dec 24 2023 *)

Prog

(Magma) [p: p in PrimesUpTo(4500) | IsPrime(2*p+3) and IsPrime(4*p+3)]; // Bruno Berselli, Mar 03 2014
(PARI) select(p->isprime(2*p+3)&&isprime(4*p+3), primes(1000)) \\ Charles R Greathouse IV, Mar 06 2014

Crossrefs

Cf. A023204, A023213; A115334.

Sequence in context: A158526 A146364 A105895 * A068360 A110254 A019084

Adjacent sequences: A238696 A238697 A238698 * A238700 A238701 A238702

Keyword

nonn

Author

Ilya Lopatin, Mar 03 2014, following a suggestion by Juri-Stepan Gerasimov

Extensions

Edited by Bruno Berselli, Mar 03 2014

Status

approved