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A037896 Primes of the form n^4 + 1. 27
2, 17, 257, 1297, 65537, 160001, 331777, 614657, 1336337, 4477457, 5308417, 8503057, 9834497, 29986577, 40960001, 45212177, 59969537, 65610001, 126247697, 193877777, 303595777, 384160001, 406586897, 562448657, 655360001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

M. Lal, Primes of the form n^4 + 1, Math. Comp. 21 (1967), pp. 245-247.

EXAMPLE

6^4 + 1 = 1297 is prime.

MATHEMATICA

lst={}; Do[p=n^4+1; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 4*5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 27 2009 *)

Select[Range[200]^4+1, PrimeQ] (* Harvey P. Dale, Jul 20 2015 *)

PROG

(PARI) j=[]; for(n=1, 300, if(isprime(n^4+1), j=concat(j, n^4+1))); j

CROSSREFS

Cf. A000068, A002523.

Sequence in context: A253549 A002590 A029735 * A099714 A195443 A176585

Adjacent sequences:  A037893 A037894 A037895 * A037897 A037898 A037899

KEYWORD

easy,nonn

AUTHOR

Donald S. McDonald, Feb 27 2000

EXTENSIONS

Corrected and extended by Jason Earls (zevi_35711(AT)yahoo.com), Jul 19 2001

STATUS

approved

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Last modified December 7 23:55 EST 2016. Contains 278902 sequences.