A105759 Prime Fibonacci 6-step numbers, A001592.

2, 13435170943, 26649774581, 610186256014622144673892607

Offset: 1

Author

T. D. Noe, Apr 22 2005

Keywords

• nonn

Comments

The next term has 196 digits. - Harvey P. Dale, Apr 23 2025

Links

• 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

Crossrefs

Cf. A105758 (indices of prime Fibonacci 6-step numbers).

Programs

Mathematica

a={1, 0, 0, 0, 0, 0}; lst={}; Do[s=Plus@@a; a=RotateLeft[a]; a[[ -1]]=s; If[PrimeQ[s], AppendTo[lst, s]], {n, 1000}]; lst
Select[LinearRecurrence[{1,1,1,1,1,1},{1,0,0,0,0,0},100],PrimeQ] (* Harvey P. Dale, Apr 23 2025 *)