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Fibonacci numbers whose index is in A233514.
1

%I #6 Dec 17 2014 05:28:45

%S 2,3,5,13,34,89,233,610,1597,28657,514229,433494437,2971215073,

%T 99194853094755497,1066340417491710595814572169,

%U 19134702400093278081449423917,475420437734698220747368027166749382927701417016557193662268716376935476241

%N Fibonacci numbers whose index is in A233514.

%C Damir et al. conjecture that this sequence is finite. Note that it is A005478 (prime Fibonacci numbers) and two additional terms (34 and 610) so far.

%H Mohamed Taoufiq Damir, Bernadette Faye, Florian Luca, and Amadou Tall, <a href="http://www.emis.de/journals/INTEGERS/papers/o5/o5.Abstract.html">Fibonacci Numbers with Prime Sums of Complementary Divisors</a>, Integers, 14 (2014), A5.

%Y Cf. A005478, A080715, A233514.

%K nonn,hard

%O 1,1

%A _T. D. Noe_, Jan 31 2014