A069109 Primes of the form F(k)-k where F(k) is the k-th Fibonacci number.

2, 13, 971, 121367, 317783, 3416454622906631, 3807901929474025356630904133903, 757791618667731139247631372099907

Offset

1,1

Comments

a(9) is a 169-digit certified prime (Primo). - Rick L. Shepherd, Apr 26 2002

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..13

Formula

A065220 INTERSECT A000040. - R. J. Mathar, Apr 24 2017

a(n) = A065220(A270821(n)). - Amiram Eldar, Jun 04 2022

Mathematica

Select[Table[Fibonacci[k] - k, {k, 1, 160}], PrimeQ] (* Amiram Eldar, Jun 04 2022 *)

Prog

(PARI) for(n=1, 4036, if(ispseudoprime(t=fibonacci(n)-n), print1(t", "))); \\ Charles R Greathouse IV, Feb 17 2011

Crossrefs

Cf. A000045, A065220, A270821.

Sequence in context: A109947 A175513 A064185 * A004071 A174363 A158026

Adjacent sequences: A069106 A069107 A069108 * A069110 A069111 A069112

Keyword

nonn

Author

Benoit Cloitre, Apr 06 2002

Status

approved