A245641 Prime numbers P such that 8*P^2-1 and 24*P^3-1 are also primes.

2, 3, 5, 17, 67, 137, 241, 353, 541, 641, 907, 1033, 1307, 1453, 1607, 1621, 1733, 1811, 2053, 2243, 2273, 2377, 2621, 2963, 3677, 3701, 3881, 3943, 4861, 5261, 5647, 6101, 6823, 7723, 7877, 8081, 8101, 8447, 8923, 9467, 10111, 10223, 11483, 11617, 12161, 12203, 12227, 12457

Offset: 1

Author

Pierre CAMI, Jul 28 2014

Keywords

• nonn

Comments

Intersection of A245639 and A245640.

Links

• Pierre CAMI, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A245639, A245640.

Programs

Magma

[p: p in PrimesUpTo(15000)| IsPrime(8*p^2-1)and IsPrime(24*p^3-1)]; // Vincenzo Librandi, Sep 08 2014

Mathematica

Select[Prime[Range[2000]], PrimeQ[8 #^2 - 1] && PrimeQ[24 #^3 - 1] &] (* Vincenzo Librandi, Sep 08 2014 *)

PARI

select(p->isprime(8*p^2-1)&&isprime(24*p^3-1), primes(3000)) \\ Colin Barker, Jul 28 2014