Found with PFGW Version 3.7.5

6912^8825-8825^6912 is 2-PRP! (22.4468s+0.0014s)
6912^8825-8825^6912 is 3-PRP! (21.9418s+0.0014s)
6912^8825-8825^6912 is 5-PRP! (21.9235s+0.0013s)
6912^8825-8825^6912 is 7-PRP! (21.9212s+0.0014s)
6912^8825-8825^6912 is 11-PRP! (21.9846s+0.0014s)

Primality testing 6912^8825-8825^6912 [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 0.07% and helper 0.04% (0.25% proof)
6912^8825-8825^6912 is Fermat and Lucas PRP! (108.7985s+0.0021s)

To be completed...