A006314 Numbers k such that k^8 + 1 is prime.

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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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

Crossrefs

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

Programs

Magma

[n: n in [0..2000] | IsPrime(n^8+1)]; // Vincenzo Librandi, Nov 18 2010

Mathematica

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

PARI

isA006314(n) = isprime(n^8+1) \\ Michael B. Porter, Mar 24 2010

Formula

A258805(n) = a(n)^8+1. - R. J. Mathar, Jun 05 2025

Extensions

More terms from James Sellers, May 03 2000