A159231 Primes p such that 8*p^2-2*p-1 divides Fibonacci(p).

37, 97, 577, 727, 1297, 3037, 3067, 4447, 4567, 5557, 7507, 7867, 8647, 9067, 9157, 12967, 17257, 20107, 20407, 21787, 22147, 23677, 25447, 27817, 28687, 29347, 30187, 32587, 33487, 35617, 38377, 42157, 42667, 42967, 43207, 45697, 46447, 47497, 49477

Offset

1,1

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..1000

Chris Caldwell, The Prime Glossary, Fibonacci number

C. K. Caldwell, "Top Twenty" page, Fibonacci cofactor

Mathematica

Select[Prime@Range[5084], Mod[Fibonacci[#], 8*#^2 - 2*# - 1] == 0 &] (* Arkadiusz Wesolowski, Dec 12 2011 *)

Prog

(Magma) [p : p in PrimesUpTo(49477) | IsZero(Fibonacci(p) mod (8*p^2-2*p-1))]; // Arkadiusz Wesolowski, Nov 09 2013
(PARI) forprime(p=2, 49477, if(Mod(fibonacci(p), 8*p^2-2*p-1)==0, print1(p, ", "))); \\ Arkadiusz Wesolowski, Nov 09 2013

Crossrefs

Subsequence of A159259. Supersequence of A215158.

Cf. A000045, A023172, A159234, A181890.

Sequence in context: A256602 A142793 A139939 * A180518 A107999 A108160

Adjacent sequences: A159228 A159229 A159230 * A159232 A159233 A159234

Keyword

nonn

Author

Arkadiusz Wesolowski, Apr 06 2009

Status

approved