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A281087
Numbers k such that Fibonacci(k) and Fibonacci(k+2) are both prime.
5
3, 5, 11, 431, 569
OFFSET
1,1
COMMENTS
Smaller primes of the Fibonacci prime pairs in A073340.
LINKS
J. B. Cosgrave and K. Dilcher, Pairs of reciprocal quadratic congruences involving primes, Fig. Quart. 51 (2) (2013) 98-111
FORMULA
a(n) = A279795(n) - 2.
a(n) = A073340(2n-1).
EXAMPLE
11 is in the sequence because Fibonacci(11) = 89 and Fibonacci(13) = 233 are both prime.
MATHEMATICA
Select[Range[600], PrimeQ[Fibonacci[#]] && PrimeQ[Fibonacci[#+2]] &] (* Stefano Spezia, Nov 15 2024 *)
CROSSREFS
First differs from A101315 at a(5).
Sequence in context: A280876 A357055 A079037 * A101315 A343738 A066541
KEYWORD
more,nonn,changed
AUTHOR
Bobby Jacobs, Jan 14 2017
STATUS
approved