A182343 Primes of the form k^4 + 2 for k >= 0.

2, 3, 83, 6563, 50627, 194483, 4100627, 10556003, 15752963, 22667123, 57289763, 96059603, 276922883, 395254163, 6059221283, 6597500627, 12296370323, 14166950627, 42110733683, 44386483763, 46753250627, 49213429283, 69257922563, 72555348323

Offset

1,1

Comments

Apart from 3, this is a subsequence of A053786. - Bruno Berselli, Apr 26 2012

Links

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

Example

2 = 0^4 + 2;
3 = 1^4 + 2;
83 = 3^4 + 2.

Maple

# choose N large, then S is the desired set
f:=n->n^4 + 2:
S:={}:
for n from 0 to N do if(isprime(f(n))) then S:=S union {f(n)}: fi: od:

Mathematica

Select[Range[0, 600]^4 + 2, PrimeQ] (* Bruno Berselli, Apr 26 2012 *)

Prog

(Magma) [2, 3] cat [n^4+2: n in [3..600 by 6]|IsPrime(n^4+2)]; // Bruno Berselli, Apr 26 2012

Crossrefs

Cf. A037896, A053786.

Sequence in context: A037427 A042549 A365291 * A242370 A153228 A041401

Adjacent sequences: A182340 A182341 A182342 * A182344 A182345 A182346

Keyword

nonn,easy

Author

Patrick Devlin, Apr 25 2012

Status

approved