Found with PFGW Version 3.8.0

7704^11051-11051^7704 is 2-PRP! (36.3254s+0.0012s)
7704^11051-11051^7704 is 3-PRP! (36.2987s+0.0012s)
7704^11051-11051^7704 is 5-PRP! (36.3017s+0.0012s)
7704^11051-11051^7704 is 7-PRP! (36.5775s+0.0011s)
7704^11051-11051^7704 is 11-PRP! (36.4940s+0.0011s)

Primality testing 7704^11051-11051^7704 [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 0.04% and helper 0.03% (0.14% proof)
7704^11051-11051^7704 is Fermat and Lucas PRP! (181.8253s+0.0050s)

To be completed...