A213078 Primes p such that 2p^2-1 and 3p^2-2 are also prime.

199, 311, 379, 409, 419, 659, 941, 1009, 1439, 2351, 2789, 3079, 3221, 4421, 4999, 5351, 5531, 5839, 6299, 7129, 7321, 7349, 8819, 9029, 10091, 10151, 10391, 10459, 11131, 11551, 12251, 12391, 13049, 13759, 14281, 14669, 15091, 15329, 15581, 16381, 16811

Offset

1,1

Comments

Subsequence of A106483: a(1)=A106483(19), a(2)=A106483(25),

a(3)=A106483(28).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[2000]], PrimeQ[2 #^2 - 1] && PrimeQ[3 #^2 - 2] &] (* T. D. Noe, Jun 06 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(17000) | IsPrime(2*p^2-1)and IsPrime(3*p^2-2)]; // Vincenzo Librandi, Apr 08 2013

Crossrefs

Cf. A106483.

Sequence in context: A166459 A304368 A190355 * A142682 A088294 A122091

Adjacent sequences: A213075 A213076 A213077 * A213079 A213080 A213081

Keyword

nonn,easy

Author

Zak Seidov, Jun 04 2012

Status

approved