Found with PFGW Version 3.6.0

6324^6985-6985^6324 is 2-PRP! (33.5941s+0.0016s)
6324^6985-6985^6324 is 3-PRP! (34.9217s+0.0018s)
6324^6985-6985^6324 is 5-PRP! (35.1161s+0.0017s)
6324^6985-6985^6324 is 7-PRP! (35.1837s+0.0018s)
6324^6985-6985^6324 is 11-PRP! (34.9013s+0.0014s)

Primality testing 6324^6985-6985^6324 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.07% and helper 0.01% (0.21% proof)
6324^6985-6985^6324 is Fermat and Lucas PRP! (167.2371s+0.0028s)

To be completed...