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A281087 Numbers n such that Fibonacci(n) and Fibonacci(n+2) are both prime. 5

%I #34 Feb 01 2024 05:46:06

%S 3,5,11,431,569

%N Numbers n such that Fibonacci(n) and Fibonacci(n+2) are both prime.

%C Smaller primes of the Fibonacci prime pairs in A073340.

%H J. B. Cosgrave, K. Dilcher, <a href="https://fq.math.ca/Papers1/51-2/CosgraveDilcher-1.pdf">Pairs of reciprocal quadratic congruences involving primes</a>, Fig. Quart. 51 (2) (2013) 98-111

%F a(n) = A279795(n) - 2.

%F a(n) = A073340(2n-1).

%e 11 is in the sequence because Fibonacci(11) = 89 and Fibonacci(13) = 233 are both prime.

%Y First differs from A101315 at a(5).

%Y Cf. A000045, A001359, A001605, A073340, A101315, A279795.

%K more,nonn

%O 1,1

%A _Bobby Jacobs_, Jan 14 2017

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Last modified August 10 05:56 EDT 2024. Contains 375044 sequences. (Running on oeis4.)