A105761 Prime Fibonacci 7-step numbers, A066178.

2, 127, 31489

Offset: 1

Author

T. D. Noe, Apr 22 2005, May 13 2008

Keywords

• bref
• nonn

Comments

The next term is the 30673-digit probable prime 59456197869789581...206057955817 that is the 102490th term of the heptanacci sequence (using the definition in Noe-Post and Weisstein). This is too large to include here.

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

Programs

Mathematica

a={1, 0, 0, 0, 0, 0, 0}; lst={}; Do[s=Plus@@a; a=RotateLeft[a]; a[[ -1]]=s; If[PrimeQ[s], AppendTo[lst, s]], {n, 100}]; lst