Fibonacci prime

Fibonacci prime
No. of known terms	17
Conjectured no. of terms	Infinite
First terms	2, 3, 5, 13, 89, 233
Largest known term	F10367321
OEIS index	A001605; Indices of prime Fibonacci numbers;

A Fibonacci prime is a Fibonacci number that is prime, a type of integer sequence prime.

The first Fibonacci primes are (sequence A005478 in the OEIS):

2, 3, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073, ....

No. of known terms	17
Conjectured no. of terms	Infinite^[1]
First terms	2, 3, 5, 13, 89, 233
Largest known term	F_10367321
OEIS index	A001605 Indices of prime Fibonacci numbers