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A047652 Primes for which golden mean is a cubic residue. 6
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; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Primes of the form x^2 + xy + 34y^2, whose discriminant is -135. - T. D. Noe, May 17 2005
Primes of the form x^2 + 135*y^2. - Arkadiusz Wesolowski, May 31 2015
LINKS
E. Lehmer, On the quadratic character of the Fibonacci root, Fib. Quart., 4 (1966), 135-138.
E. Lehmer, On the quadratic character of the Fibonacci root (annotated scanned copy)
FORMULA
Primes p that divide Fibonacci((p-1)/3). - Alexander Adamchuk, Sep 16 2006
MATHEMATICA
Select[Prime[Range[1000]], IntegerQ[Fibonacci[(#1-1)/3]/#1]&] (* Alexander Adamchuk, Sep 16 2006 *)
CROSSREFS
Cf. A047650.
Sequence in context: A333135 A361342 A270310 * A308788 A308796 A334564
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from James A. Sellers, Jan 25 2000
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)