Found with PFGW Version 3.7.5

7887^10522-10522^7887 is 2-PRP! (35.4444s+0.0020s)
7887^10522-10522^7887 is 3-PRP! (35.3144s+0.0020s)
7887^10522-10522^7887 is 5-PRP! (35.3784s+0.0018s)
7887^10522-10522^7887 is 7-PRP! (35.6590s+0.0018s)
7887^10522-10522^7887 is 11-PRP! (35.3598s+0.0019s)

Primality testing 7887^10522-10522^7887 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 23
Running N-1 test using base 31
Running N+1 test using discriminant 41, base 8+sqrt(41)
Calling N-1 BLS with factored part 0.02% and helper 0.00% (0.07% proof)
7887^10522-10522^7887 is Fermat and Lucas PRP! (243.0094s+0.0027s)

To be completed...