Found with PFGW Version 3.7.5

3631^10548-10548^3631 is 2-PRP! (26.3856s+0.0016s)
3631^10548-10548^3631 is 3-PRP! (26.0100s+0.0016s)
3631^10548-10548^3631 is 5-PRP! (26.4068s+0.0017s)
3631^10548-10548^3631 is 7-PRP! (25.7419s+0.0016s)
3631^10548-10548^3631 is 11-PRP! (25.8413s+0.0016s)

Primality testing 3631^10548-10548^3631 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 2+sqrt(17)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.12% proof)
3631^10548-10548^3631 is Fermat and Lucas PRP! (148.5426s+0.0026s)

To be completed...