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Fibonacci numbers whose indices are prime Fibonacci numbers: a(n) = Fibonacci(A001605(n)).
1

%I #18 Oct 22 2024 03:28:09

%S 1,2,5,233,1779979416004714189,

%T 2211236406303914545699412969744873993387956988653

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

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

%C The next term (a(6)) has 334 digits. - _Harvey P. Dale_, Apr 28 2023

%H Amiram Eldar, <a href="/A135724/b135724.txt">Table of n, a(n) for n = 1..7</a>

%t a = {}; b = {}; Do[If[PrimeQ[c = Fibonacci[n]], w = Fibonacci[Fibonacci[n]]; AppendTo[a, w]; AppendTo[b, n]], {n, 1, 31}]; a

%t Fibonacci[#]&/@Select[Fibonacci[Range[20]],PrimeQ] (* _Harvey P. Dale_, Apr 28 2023 *)

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

%K nonn

%O 1,2

%A _Artur Jasinski_, Nov 26 2007

%E Corrected by _Harvey P. Dale_, Apr 28 2023