A248757 Indices of prime Fibonacci 5-step numbers, A001591.

6, 10, 11, 28, 149, 172, 185, 754, 815, 1510, 1594, 3160, 3755, 10654, 12743, 71807, 155957

Offset: 1

Author

Robert Price, Oct 13 2014

Keywords

• nonn
• more

Comments

This sequence is similar to A105756 but uses the indexing scheme defined by A001591 whose indices start with 0.

a(18) > 2*10^5.

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. A001591, A105756.

Programs

Mathematica

a = {0, 0, 0, 0, 1}; For[n = 5, n ≤ 1000, n++, sum = Plus @@ a;
  If[PrimeQ[sum], Print[n]]; a = RotateLeft[a]; a[[5]] = sum]

Formula

a(n) = A105756 (n) + 3.