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A000059 Numbers n such that (2n)^4 + 1 is prime.
(Formerly M0867 N0332)
+0
1
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; listen)
OFFSET

1,2

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).

PROGRAM

(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

CROSSREFS

a(n)=A000068(n)/2 for n>1.

Cf. A037896 primes of the form n^4+1.

Sequence in context: A028732 A028751 A057543 this_sequence A097053 A132327 A100317

Adjacent sequences: A000056 A000057 A000058 this_sequence A000060 A000061 A000062

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Aug 27 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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