

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
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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), 135138.
E. Lehmer, On the quadratic character of the Fibonacci root (annotated scanned copy)


FORMULA

Primes p that divide Fibonacci[(p1)/3].  Alexander Adamchuk, Sep 16 2006


MATHEMATICA

Select[Prime[Range[1000]], IntegerQ[Fibonacci[(#11)/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



