A159234 -id:A159234 - cp's OEIS frontend

A159231 Primes p such that 8p^2-2p-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

Arkadiusz Wesolowski, Apr 06 2009

nonn

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

Subsequence of A159259. Supersequence of A215158.

Cf. A000045, A023172, A159234, A181890.

[p : p in PrimesUpTo(49477) | IsZero(Fibonacci(p) mod (8*p^2-2*p-1))]; // Arkadiusz Wesolowski, Nov 09 2013

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

forprime(p=2, 49477, if(Mod(fibonacci(p), 8*p^2-2*p-1)==0, print1(p, ", "))); \\ Arkadiusz Wesolowski, Nov 09 2013

A159259 Positive numbers n such that 8n^2-2n-1 divides Fibonacci(n).

Original entry on oeis.org

27, 37, 97, 577, 687, 727, 777, 807, 1297, 1707, 1917, 2067, 2487, 2787, 2977, 3027, 3037, 3067, 3277, 3367, 3417, 3507, 3837, 4047, 4257, 4377, 4447, 4567, 4717, 5137, 5557, 5637, 5677, 5917, 5967, 6057, 6187, 6327, 7077, 7087, 7357, 7407, 7507, 7597

Offset: 1

Arkadiusz Wesolowski, Apr 07 2009

nonn

The prime numbers of this sequence are in A159231.

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..1000
Chris Caldwell, The Prime Glossary, Fibonacci number

Cf. A000045, A023172, A159234, A159231, A181890.

[n : n in [1..7597] | IsZero(Fibonacci(n) mod (8*n^2-2*n-1))] // Arkadiusz Wesolowski, Nov 09 2013

Select[Range[7597], Mod[Fibonacci[#], 8*#^2 - 2*# - 1] == 0 &] (* Arkadiusz Wesolowski, Dec 12 2011 *)

for(n=1, 7597, if(Mod(fibonacci(n), 8*n^2-2*n-1)==0, print1(n, ", "))); \\ Arkadiusz Wesolowski, Nov 09 2013

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

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A159259 Positive numbers n such that 8n^2-2n-1 divides Fibonacci(n).

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cp's OEIS Frontend

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

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

PARI

A159259 Positive numbers n such that 8*n^2-2*n-1 divides Fibonacci(n).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

PARI

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

A159259 Positive numbers n such that 8n^2-2n-1 divides Fibonacci(n).