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A000059
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Numbers n such that (2n)^4 + 1 is prime.
(Formerly M0867 N0332)
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1
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1, 2, 3, 8, 10, 12, 14, 17, 23, 24, 27, 28, 37, 40, 41, 44, 45, 53, 59, 66, 70, 71, 77, 80, 82, 87, 90, 97, 99, 102, 105, 110, 114, 119, 121, 124, 127, 133, 136, 138, 139, 144, 148, 156, 160, 164, 167, 170, 176, 182, 187, 207, 215, 218, 221, 233, 236, 238, 244, 246
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| J. Bohman, New primes of the form n^4+1, Nordisk Tidskr. Informationsbehandling (BIT) 13 (1973), 370-372.
M. Lal, Primes of the form n^4 + 1, Math. Comp., 21 (1967), 245-247.
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
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MATHEMATICA
| Select[Range[0, 300], PrimeQ[(2*#)^4+1]&] (* From Vladimir Joseph Stephan Orlovsky, Jan 24 2012 *)
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PROG
| (PARI) n=0; while(1, n=n+1; if(isprime( (2*n)^4+1 ), print(n))) - Hauke Worpel (thebigh(AT)outgun.com), Jun 11 2008
(MAGMA)[n: n in [1..10000] | IsPrime((2*n)^4+1)] [From Vincenzo Librandi, Nov 18 2010]
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CROSSREFS
| a(n)=A000068(n)/2 for n>1.
Cf. A037896 primes of the form n^4+1.
Sequence in context: A028751 A057543 A190650 * A097053 A190668 A132327
Adjacent sequences: A000056 A000057 A000058 * A000060 A000061 A000062
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Aug 27 2003
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