A135724 Fibonacci numbers whose indices are prime Fibonacci numbers: a(n) = Fibonacci(A001605(n)).

1, 2, 5, 233, 1779979416004714189, 2211236406303914545699412969744873993387956988653

Offset: 1

Author

Artur Jasinski, Nov 26 2007

Keywords

• nonn

Comments

The only known prime numbers in this sequence are 2, 5 and 233.

The next term (a(6)) has 334 digits. - Harvey P. Dale, Apr 28 2023

Links

• Amiram Eldar, Table of n, a(n) for n = 1..7

Crossrefs

Cf. A000045, A001605, A135723, A134787, A134788, A134789, A134790.

Programs

Mathematica

a = {}; b = {}; Do[If[PrimeQ[c = Fibonacci[n]], w = Fibonacci[Fibonacci[n]]; AppendTo[a, w]; AppendTo[b, n]], {n, 1, 31}]; a
Fibonacci[#]&/@Select[Fibonacci[Range[20]],PrimeQ] (* Harvey P. Dale, Apr 28 2023 *)

Extensions

Corrected by Harvey P. Dale, Apr 28 2023