A182347 Primes of the form k^4 - 2.

79, 2399, 14639, 28559, 194479, 707279, 2313439, 2825759, 3418799, 5764799, 7890479, 12117359, 28398239, 47458319, 52200623, 57289759, 81450623, 96059599, 104060399, 200533919, 276922879, 395254159, 418161599, 937890623, 1073283119, 1171350623, 1275989839

Offset

1,1

Links

Frank M Jackson, Table of n, a(n) for n = 1..1000

Example

79 = 3^4 - 3; 2399 = 7^4 - 3.

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

lst = {}; Do[If[PrimeQ[r=(2k+1)^4-2], AppendTo[lst, r]], {k, 1, 1000}]; lst[[1;; 100]]

Crossrefs

Cf. A037896.

Sequence in context: A098104 A061997 A094731 * A293919 A205496 A017795

Adjacent sequences: A182344 A182345 A182346 * A182348 A182349 A182350

Keyword

nonn

Author

Patrick Devlin, Apr 25 2012

Status

approved