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A006316
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Numbers k such that k^64 + 1 is prime.
(Formerly M5368)
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35
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1, 102, 162, 274, 300, 412, 562, 592, 728, 1084, 1094, 1108, 1120, 1200, 1558, 1566, 1630, 1804, 1876, 2094, 2162, 2164, 2238, 2336, 2388, 2420, 2494, 2524, 2614, 2784, 3024, 3104, 3140, 3164, 3254, 3278, 3628, 3694, 3738, 3750, 4000, 4030, 4058, 4166
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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REFERENCES
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Harvey Dubner, 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).
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LINKS
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Simon Plouffe, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)
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MATHEMATICA
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lst={}; Do[If[PrimeQ[n^64+1], Print[n]; AppendTo[lst, n]], {n, 10^4}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 21 2008 *)
Select[Range[0, 4200], PrimeQ[(#^64 + 1)] &] (* Vincenzo Librandi, Sep 25 2012 *)
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PROG
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(PARI) isA006316(n) = isprime(n^64+1) \\ Michael B. Porter, Mar 28 2010
(Magma) [n: n in [1..4200] | IsPrime(n^64 + 1)]; // Vincenzo Librandi, Sep 25 2012
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CROSSREFS
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Cf. A005574, A000068, A006314, A006313, A006315, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A244150, A243959, A321323.
Sequence in context: A160918 A145578 A318792 * A242068 A053326 A151955
Adjacent sequences: A006313 A006314 A006315 * A006317 A006318 A006319
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, Robert G. Wilson v
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EXTENSIONS
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More terms from Hugo Pfoertner, Jun 22 2003
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STATUS
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approved
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