A182346 Primes of the form n^4 + 6.

7, 631, 279847, 4879687, 12117367, 20151127, 28398247, 62742247, 68574967, 81450631, 174900631, 1330863367, 1698181687, 3373402567, 3722098087, 4499860567, 5719140631, 9354951847, 16610312167, 18141126727

Offset: 1

Author

Patrick Devlin, Apr 25 2012

Keywords

• nonn

Examples

			7 = 1^4 + 6; 631 = 5^4 + 6.
		

Crossrefs

Cf. A037896.

Programs

Maple

# choose N large, then S is the desired set
f:=n->n^4 + 6:
S:={}:
for n from 0 to N do if(isprime(f(n))) then S:=S union {f(n)}: fi: od:

Mathematica

Select[Range[1,400,2]^4+6,PrimeQ] (* Harvey P. Dale, Jan 12 2013 *)