

A037896


Primes of the form n^4 + 1.


25



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
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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. 245247.


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 [From Vladimir Joseph Stephan Orlovsky, Jan 27 2009]


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: A099702 A002590 A029735 * A099714 A195443 A176585
Adjacent sequences: A037893 A037894 A037895 * A037897 A037898 A037899


KEYWORD

easy,nonn


AUTHOR

Donald S McDonald (dsmc(AT)actrix.gen.nz), Feb 27 2000


EXTENSIONS

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


STATUS

approved



