Found with PFGW Version 3.7.5

522^6385-6385^522 is 2-PRP! (12.4439s+0.0018s)
522^6385-6385^522 is 3-PRP! (11.3852s+0.0026s)
522^6385-6385^522 is 5-PRP! (11.5131s+0.0019s)
522^6385-6385^522 is 7-PRP! (11.2661s+0.0020s)
522^6385-6385^522 is 11-PRP! (11.1994s+0.0018s)

Primality testing 522^6385-6385^522 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.04% and helper 0.04% (0.16% proof)
522^6385-6385^522 is Fermat and Lucas PRP! (54.4596s+0.0035s)

To be completed...