F(n)= nth Fibonacci and p(n)= nth prime.

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing F(72396)-p(72396)
[N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 1+sqrt(13)
F(72396)-p(72396) is Fermat and Lucas PRP!

To be completed...