Found with PFGW Version 3.8.0

7888^13467-13467^7888 is 2-PRP! (54.2880s+0.0251s)
7888^13467-13467^7888 is 3-PRP! (55.0126s+0.0014s)
7888^13467-13467^7888 is 5-PRP! (59.3115s+0.0014s)
7888^13467-13467^7888 is 7-PRP! (55.5370s+0.0020s)
7888^13467-13467^7888 is 11-PRP! (54.3995s+0.0013s)

Primality testing 7888^13467-13467^7888 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.07% proof)
7888^13467-13467^7888 is Fermat and Lucas PRP! (266.1180s+0.0071s)

To be completed...