Found with PFGW Version 3.7.5

129^17631-128 is 2-PRP! (10.7738s+0.0013s)
129^17631-128 is 3-PRP! (10.5696s+0.0013s)
129^17631-128 is 5-PRP! (10.8937s+0.0013s)
129^17631-128 is 7-PRP! (10.5591s+0.0014s)
129^17631-128 is 11-PRP! (10.5978s+0.0013s)

Primality testing 129^17631-128 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N-1 test using base 53
Running N-1 test using base 59
Running N-1 test using base 61
Running N+1 test using discriminant 73, base 16+sqrt(73)
Calling N-1 BLS with factored part 0.21% and helper 0.01% (0.65% proof)
129^17631-128 is Fermat and Lucas PRP! (106.7690s+0.0014s)

To be completed...