A105756 Indices of prime Fibonacci 5-step numbers, A001591.

3, 7, 8, 25, 146, 169, 182, 751, 812, 1507, 1591, 3157, 3752, 10651, 12740, 71804, 155953

Offset

1,1

Comments

No other n < 44000.

The Noe and Post reference below utilizes a scheme for its indices which differs by 3 from the indices in A001591. - Robert Price, Oct 13 2014

The sequence is similar to A248757 which uses the indexing scheme starting at 0 as defined by A001591. - Robert Price, Oct 13 2014

a(18) > 2*10^5. - Robert Price, Oct 13 2014

Links

Table of n, a(n) for n=1..17.

Tony D. Noe and Jonathan Vos Post, Primes in Fibonacci n-step and Lucas n-step Sequences, J. of Integer Sequences, Vol. 8 (2005), Article 05.4.4

Eric Weisstein's World of Mathematics, Fibonacci n-Step Number

Mathematica

a = {1, 0, 0, 0, 0}; lst = {}; Do[s = Plus @@ a; a = RotateLeft[a];
  a[[-1]] = s; If[PrimeQ[s], AppendTo[lst, n]], {n, 44000}]; lst
Flatten[Position[LinearRecurrence[{1, 1, 1, 1, 1}, {0, 0, 0, 0, 1}, 13000], _?PrimeQ]]-4 (* Harvey P. Dale, Mar 06 2023 *)

Crossrefs

Cf. A105757 (prime Fibonacci 5-step numbers).

Sequence in context: A102007 A152486 A301523 * A152057 A177689 A191611

Adjacent sequences: A105753 A105754 A105755 * A105757 A105758 A105759

Keyword

nonn

Author

T. D. Noe, Apr 22 2005

Extensions

Restored original sequence after reconsideration and added a(16)-a(17) by Robert Price, Oct 13 2014

Status

approved