Are Fibonacci Numbers Prime?

Are Fibonacci Numbers Prime? No. of known terms 51 Largest known term F3340367 OEIS index A001605 Indices of prime Fibonacci numbers Are Fibonacci numbers relatively prime? Definition Two numbers x and y are relatively prime if gcd(x,y) = 1. An interesting fact: Theorem Consecutive Fibonacci numbers are relatively prime. 1,1,2,3,5,8,13,21,34,55,89,144,233,377,… Is F 19 a prime