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

Author

Zak Seidov, Jun 04 2012

Keywords

• nonn
• easy

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

Crossrefs

Cf. A106483.

Programs

Magma

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

Mathematica

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