A182344 Primes of the form n^4 + 3.

3, 19, 4099, 65539, 234259, 456979, 614659, 1336339, 3748099, 14776339, 21381379, 33362179, 45212179, 71639299, 116985859, 146410003, 193877779, 268435459, 322417939, 759333139, 1146228739, 1664966419, 2019963139

Offset: 1

Author

Patrick Devlin, Apr 25 2012

Keywords

• nonn

Examples

			3 = 0^4 + 3; 19 = 2^4 + 3.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A037896.

Programs

Maple

# choose N large, then S is the desired set
f:=n->n^4 + 3:
S:={}:
for n from 0 to N do if(isprime(f(n))) then S:=S union {f(n)}: fi: od:

Mathematica

Select[Range[0,250]^4+3,PrimeQ] (* Harvey P. Dale, Jan 10 2013 *)