A006314 Numbers n such that n^8 + 1 is prime. (Formerly M1308)

1, 2, 4, 118, 132, 140, 152, 208, 240, 242, 288, 290, 306, 378, 392, 426, 434, 442, 508, 510, 540, 542, 562, 596, 610, 664, 680, 682, 732, 782, 800, 808, 866, 876, 884, 892, 916, 918, 934, 956, 990, 1022, 1028, 1054, 1106, 1120, 1174, 1224, 1232, 1256, 1284

Offset

1,2

References

Dubner, Harvey. "Generalized Fermat primes." J. Recreational Math., 18 (1985): 279-280.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

T. D. Noe, Table of n, a(n) for n=1..10000

Mathematica

Select[Range[1300], PrimeQ[#^8+1]&]  (* Harvey P. Dale, Mar 31 2011 *)

Prog

(PARI) isA006314(n) = isprime(n^8+1) \\ Michael B. Porter, Mar 24 2010
(Magma) [n: n in [0..2000] | IsPrime(n^8+1)]; // Vincenzo Librandi, Nov 18 2010

Crossrefs

Cf. A005574, A000068, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A244150, A243959, A321323.

Sequence in context: A018463 A132497 A009484 * A326204 A259381 A333621

Adjacent sequences: A006311 A006312 A006313 * A006315 A006316 A006317

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from James A. Sellers, May 03 2000

Status

approved