A182345 Primes of the form n^4 + 5.

5, 1301, 331781, 18974741, 37015061, 136048901, 429981701, 1196883221, 1731891461, 4032758021, 4430766101, 12745506821, 13680577301, 43237380101, 74247530261, 92844527621, 151613669381, 196741925141

Offset

1,1

Comments

All terms == 5 (mod 24). All terms except the first == 101 mod 120. - Robert Israel, Jul 01 2019

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

5 = 1^4 + 5; 1301 = 6^4 + 5.

Maple

# choose N large, then S is the desired set
f:=n->n^4 + 5:
S:={}:
for n from 0 to N do if(isprime(f(n))) then S:=S union {f(n)}: fi: od:

Crossrefs

Cf. A037896.

Sequence in context: A157642 A234811 A069642 * A268485 A066162 A096725

Adjacent sequences: A182342 A182343 A182344 * A182346 A182347 A182348

Keyword

nonn

Author

Patrick Devlin, Apr 25 2012

Status

approved