Fibonacci number
PFGW Fermat Prp b=3 and BLS test :

PFGW Version 20040817.Win_Dev (Beta caveat utilitor) [FFT v23.8]
Primality testing F(1049897) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 5
Running N-1 test using base 7
Running N-1 test using base 11
Running N-1 test using base 13
Running N-1 test using base 19
Running N+1 test using discriminant 37, base 2+sqrt(37)
F(1049897) is Fermat and Lucas PRP! (171850.9666s+0.2663s)

To be completed...