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URL: https://oeis.org/A006314

⇱ A006314 - OEIS


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A006314
Numbers k such that k^8 + 1 is prime.
43
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).
FORMULA
A258805(n) = a(n)^8+1. - R. J. Mathar, Jun 05 2025
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
KEYWORD
nonn,easy
EXTENSIONS
More terms from James Sellers, May 03 2000
STATUS
approved