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A000068
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Numbers n such that n^4 + 1 is prime.
(Formerly M1027 N0386)
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29
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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; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| 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
| T. D. Noe, Table of n, a(n) for n=1..10000
M. Lal, Primes of the form n^4 + 1, Math. Comp., 21 (1967), 245-247.
D. Shanks, On numbers of the form n^4+1, Math. Comp. 15 (74) (1961), 186-189
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MATHEMATICA
| Select[Range[10^2*2], PrimeQ[ #^4+1] &] (from Vladimir Orlovsky (4vladimir(AT)gmail.com), May 01 2008)
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PROG
| (PARI) a(n)=local(m); if(n<1, 0, for(k=1, n, until(isprime(m^4+1), m++)); m)
(MAGMA) [n: n in [0..800] | IsPrime(n^4+1) ][From V. Librandi, Nov 18 2010]
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CROSSREFS
| Cf. A037896.
Cf. A005574, A006314, A006313, A006315, A006316, A056994, A056995
Sequence in context: A114874 A100361 A069654 * A067662 A001774 A053285
Adjacent sequences: A000065 A000066 A000067 * A000069 A000070 A000071
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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