Found with PFGW Version 3.7.5

3608^9993-9993^3608 is 2-PRP! (22.5871s+0.0013s)
3608^9993-9993^3608 is 3-PRP! (23.1630s+0.0012s)
3608^9993-9993^3608 is 5-PRP! (23.0113s+0.0012s)
3608^9993-9993^3608 is 7-PRP! (23.3623s+0.0013s)
3608^9993-9993^3608 is 11-PRP! (23.4259s+0.0014s)

Primality testing 3608^9993-9993^3608 [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 discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.07% and helper 0.03% (0.23% proof)
3608^9993-9993^3608 is Fermat and Lucas PRP! (138.5365s+0.0025s)

To be completed...