F(n)= n-th Fibonacci.

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing 60306*F(60300)+1
[N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N+1 test using discriminant 37, base 3+sqrt(37)
60306*F(60300)+1 is Fermat and Lucas PRP!

To be completed...