A163158 - OEIS

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A163158

Primes of the form f^2-2, where f is a Fibonacci number.

2, 7, 23, 167, 439, 3023, 7919, 54287, 974167, 2550407, 32522920134767, 3372041405099481407, 9839618880490124200692486211717007, 724995932728680612729658820311719934835368079 (list; graph; refs; listen; history; 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, ...`
	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 Orlovsky (4vladimir(AT)gmail.com), Jul 21 2009`
	EXTENSIONS	`Comments from Charles R Greathouse IV (charles.greathouse(AT)case.edu), Nov 09 2009`

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.