Found with PFGW Version 3.8.0

495^13688-13688^495 is 2-PRP! (24.5345s+0.0039s)
495^13688-13688^495 is 3-PRP! (24.8378s+0.0101s)
495^13688-13688^495 is 5-PRP! (24.7903s+0.0053s)
495^13688-13688^495 is 7-PRP! (24.6937s+0.0044s)
495^13688-13688^495 is 11-PRP! (24.5333s+0.0041s)

Primality testing 495^13688-13688^495 [N-1/N+1, Brillhart-Lehmer-Selfridge]
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 discriminant 17, base 2+sqrt(17)
Calling N+1 BLS with factored part 0.05% and helper 0.04% (0.20% proof)
495^13688-13688^495 is Fermat and Lucas PRP! (171.2705s+0.0076s)

To be completed...