Found with PFGW Version 3.6.0

488^4181-4181^488 is 2-PRP! (5.1371s+0.0018s)
488^4181-4181^488 is 3-PRP! (5.2996s+0.0015s)
488^4181-4181^488 is 5-PRP! (5.2860s+0.0031s)
488^4181-4181^488 is 7-PRP! (5.2916s+0.0035s)
488^4181-4181^488 is 11-PRP! (5.2837s+0.0015s)

Primality testing 488^4181-4181^488 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.06% and helper 0.05% (0.24% proof)
488^4181-4181^488 is Fermat and Lucas PRP! (31.2220s+0.0034s)

To be completed...