A174365 Primes p such that 2*p^4+-9 are also prime.

2, 17, 101, 191, 647, 733, 2677, 4133, 4231, 6869, 8111, 15383, 15607, 16273, 17761, 18583, 23719, 24923, 30497, 30881, 32503, 33829, 42719, 43103, 44797, 47581, 50321, 56249, 56591, 56857, 56941, 60757, 70327, 70381, 77977, 81919, 84947

Offset

1,1

Links

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

Example

For p=2, 2*2^4+-9=(23,41); p=17, 2*17^4+-9=(167033,167051).

Mathematica

Select[Prime[Range[4000]], And@@PrimeQ[2 #^4 + {9, -9}]&] (* Vincenzo Librandi, Apr 10 2013 *)

Prog

(Magma) [p: p in PrimesUpTo(100000) | IsPrime(2*p^4-9) and IsPrime(2*p^4+9)];

Crossrefs

Sequence in context: A109724 A127533 A023260 * A119363 A272065 A129977

Adjacent sequences: A174362 A174363 A174364 * A174366 A174367 A174368

Keyword

nonn,easy

Author

Vincenzo Librandi, Mar 17 2010

Status

approved