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A227627 Numbers n such that F(5*n)/(5*F(n)) is prime, where F(k) is the k-th Fibonacci number. 1

%I #23 Nov 25 2014 16:30:02

%S 2,3,5,7,13,25,29,37,47,67,457,2309,2383,4133,5023,8059

%N Numbers n such that F(5*n)/(5*F(n)) is prime, where F(k) is the k-th Fibonacci number.

%C Except for n = 25, all other terms n are primes. Conjecture: this sequence is infinite. - _Thomas Ordowski_, Jul 18 2013

%t Select[Range[1000],PrimeQ[Fibonacci[5*#]/Fibonacci[#]/5]&]

%o (PARI) is(n)=ispseudoprime(fibonacci(5*n)/fibonacci(n)/5) \\ _Charles R Greathouse IV_, Nov 25 2014

%Y Cf. A227576, A088545, A000045, A001605.

%K nonn,more,hard

%O 1,1

%A _Vaclav Kotesovec_, Jul 18 2013

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)