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A159231 Primes p such that 8*p^2-2*p-1 divides Fibonacci(p). 4
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 2 20:25 EST 2021. Contains 349445 sequences. (Running on oeis4.)