Found with PFGW Version 3.7.5

7755^9404-9404^7755 is 2-PRP! (47.6016s+0.0043s)
7755^9404-9404^7755 is 3-PRP! (50.0484s+0.0044s)
7755^9404-9404^7755 is 5-PRP! (50.3954s+0.0046s)
7755^9404-9404^7755 is 7-PRP! (45.6934s+0.0036s)
7755^9404-9404^7755 is 11-PRP! (52.5587s+0.0052s)

Primality testing 7755^9404-9404^7755 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 6+sqrt(23)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
7755^9404-9404^7755 is Fermat and Lucas PRP! (232.1970s+0.0052s)

To be completed...