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 A163158 Primes of the form f^2-2, where f is a Fibonacci number. 1
 2, 7, 23, 167, 439, 3023, 7919, 54287, 974167, 2550407, 32522920134767, 3372041405099481407, 9839618880490124200692486211717007, 724995932728680612729658820311719934835368079 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A basic heuristic suggests that this sequence is infinite with about k * log_phi(n) members below n. Indices of associated Fibonacci numbers are 3, 4, 5, 7, 8, 10, 11, 13, 16, 17, 34, 46, 83, 109, 113, 158, 181, 203, 350, 490, 491, 565, 1024, 1114, 2800, 4222, 4847, 4961, 11507, 12554, ... LINKS EXAMPLE 2^2-2=2, 3^2-2=7, 5^2-2=23 MATHEMATICA f[n_]:=Fibonacci[n]^2-2; lst={}; Do[If[PrimeQ[f[n]], AppendTo[lst, f[n]]], {n, 6!}]; lst CROSSREFS Cf. A000045, A028871 Sequence in context: A002494 A032264 A139522 * A171130 A112089 A075062 Adjacent sequences:  A163155 A163156 A163157 * A163159 A163160 A163161 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Jul 21 2009 EXTENSIONS Comments from Charles R Greathouse IV, Nov 09 2009 STATUS approved

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