Found with PFGW Version 3.7.5

4518^8605-8605^4518 is 2-PRP! (17.6552s+0.0014s)
4518^8605-8605^4518 is 3-PRP! (17.6186s+0.0013s)
4518^8605-8605^4518 is 5-PRP! (18.3762s+0.0017s)
4518^8605-8605^4518 is 7-PRP! (17.6098s+0.0013s)
4518^8605-8605^4518 is 11-PRP! (17.8408s+0.0014s)

Primality testing 4518^8605-8605^4518 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.11% proof)
4518^8605-8605^4518 is Fermat and Lucas PRP! (108.6922s+0.0023s)

To be completed...