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Search: id:A047652
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| A047652 |
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Primes for which golden mean is a cubic residue. |
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+0
5
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| 139, 151, 199, 331, 541, 619, 661, 709, 811, 829, 919, 1069, 1231, 1279, 1291, 1381, 1471, 1579, 1699, 1999, 2161, 2221, 2239, 2251, 2281, 2371, 2389, 2521, 2659, 2689, 2749, 3001, 3121, 3271, 3331, 3391, 3499, 3529, 3571, 3631, 3919, 4021, 4051, 4159
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes of the form x^2+xy+34y^2, whose discriminant is -135. - T. D. Noe (noe(AT)sspectra.com), May 17 2005
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REFERENCES
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E. Lehmer, On the quadratic character of the Fibonacci root, Fib. Quart., 4 (1966), 135-138.
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FORMULA
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Primes p that divide Fibonacci[(p-1)/3]. - Alexander Adamchuk (alex(AT)kolmogorov.com), Sep 16 2006
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MATHEMATICA
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Select[Prime[Range[1000]], IntegerQ[Fibonacci[(#1-1)/3]/#1]&] - Alexander Adamchuk (alex(AT)kolmogorov.com), Sep 16 2006
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CROSSREFS
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Cf. A047650.
Sequence in context: A089518 A005447 A169599 this_sequence A020357 A050967 A071382
Adjacent sequences: A047649 A047650 A047651 this_sequence A047653 A047654 A047655
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 25 2000
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