DoMiLu

There are several interesting relations between primes and Fibonacci numbers, but so far there are very few that are mathematically proven (you know, it may take 358 year long for a seemingly easy mathematical conjecture in number theory to be rigorously shown-- Fermat's last theorem). You can see some of them here. Your finding if true is astounding, and more astonishing is it if someone can prove it. However, I won't be surprise if it fails, like the notorious Euler's conjecture.