

A263467


Indices of Fibonacci primes equal to a sum of squares of two Fibonacci numbers at least one of which is also prime.


1




OFFSET

1,1


COMMENTS

Same as odd numbers m such that at least two of the Fibonacci numbers F(m), F((m1)/2), F((m+1)/2) are prime (because F(2k+1) = F(k)^2 + F(k+1)^2).
The terms are primes (because F(a*b)= F(a) * F(b)).
No other terms up to 2904353.
The corresponding Fibonacci primes are in A263468.


LINKS

Table of n, a(n) for n=1..6.
Wikipedia, Fibonacci number
Wikipedia, Fibonacci prime


FORMULA

A000045(a(n)) = A263468(n).


EXAMPLE

F(7) = 13 = 2^2 + 3^2 = F(3)^2 + F(4)^2, so 7 is a member.
F(47) = 2971215073 = 28657^2 + 46368^2 = F(23)^2 + F(24)^2 and 2971215073 and 28657 are prime, so 47 is a member.


CROSSREFS

Cf. A000045, A001605, A005478, A002144, A002313, A263468.
Sequence in context: A098865 A022885 A176831 * A200143 A265780 A135774
Adjacent sequences: A263464 A263465 A263466 * A263468 A263469 A263470


KEYWORD

nonn,more


AUTHOR

Jonathan Sondow, Nov 04 2015


STATUS

approved



