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A047652 Primes for which golden mean is a cubic residue. 5
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

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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: A261703 A266003 A270310 * A020357 A050967 A071382

Adjacent sequences:  A047649 A047650 A047651 * A047653 A047654 A047655

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from James A. Sellers, Jan 25 2000

STATUS

approved

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Last modified May 25 19:28 EDT 2017. Contains 287059 sequences.