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A000068
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Numbers k such that k^4 + 1 is prime.
(Formerly M1027 N0386)
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55
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1, 2, 4, 6, 16, 20, 24, 28, 34, 46, 48, 54, 56, 74, 80, 82, 88, 90, 106, 118, 132, 140, 142, 154, 160, 164, 174, 180, 194, 198, 204, 210, 220, 228, 238, 242, 248, 254, 266, 272, 276, 278, 288, 296, 312, 320, 328, 334, 340, 352, 364, 374, 414, 430, 436, 442, 466
(list;
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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, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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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MATHEMATICA
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Select[Range[10^2*2], PrimeQ[ #^4+1] &] (* _Vladimir Joseph Stephan Orlovsky_, May 01 2008 *)
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PROG
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(PARI) {a(n) = local(m); if( n<1, 0, for(k=1, n, until( isprime(m^4 + 1), m++)); m)};
(PARI) list(lim)=my(v=List([1])); forstep(k=2, lim, 2, if(isprime(k^4+1), listput(v, k))); Vec(v) \\ _Charles R Greathouse IV_, Mar 31 2022
(Magma) [n: n in [0..800] | IsPrime(n^4+1)]; // _Vincenzo Librandi_, Nov 18 2010
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CROSSREFS
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Cf. A002523, A037896, A005574, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A244150, A243959, A321323.
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KEYWORD
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nonn,easy
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AUTHOR
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_N. J. A. Sloane_
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STATUS
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approved
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