F(n) = n-th Fibonacci number.

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing 54621*F(54621)+1
[N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
54621*F(54621)+1 is Fermat and Lucas PRP!

To be completed...