A074716 Numbers k such that 2^k - F(k) is prime, where F(n) is the n-th Fibonacci number.

2, 4, 14, 23, 55, 80, 104, 286, 335, 383, 809, 1664, 2096, 2624, 4262, 13544, 14249, 19886, 35500, 40591, 42920, 50839, 56696

Offset

1,1

Comments

1664 and above are pseudoprimes only. - Sam Handler (sam_5_5_5_0(AT)yahoo.com), Dec 26 2004

1664, 2096, 2624 and 4262 correspond to certified primes. (Primo 2.2.0 beta) - Ryan Propper, Aug 29 2005

Links

Table of n, a(n) for n=1..23.

Mathematica

Do[ If[ PrimeQ[ 2^n - Fibonacci[n]], Print[n]], {n, 1, 5000}]

Crossrefs

Cf. A000045, A074824.

Sequence in context: A111871 A291079 A090808 * A283290 A283379 A090889

Adjacent sequences: A074713 A074714 A074715 * A074717 A074718 A074719

Keyword

more,nonn

Author

Benoit Cloitre, Sep 04 2002

Extensions

Edited by Robert G. Wilson v, Sep 06 2002

a(16)-a(20) from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Dec 18 2004

a(21)-a(23) from Michael S. Branicky, May 19 2023

Status

approved