Found with PFGW Version 3.7.5

2522^6303-6303^2522 is 2-PRP! (20.3430s+0.0022s)
2522^6303-6303^2522 is 3-PRP! (18.6952s+0.0027s)
2522^6303-6303^2522 is 5-PRP! (18.1335s+0.0026s)
2522^6303-6303^2522 is 7-PRP! (18.3055s+0.0028s)
2522^6303-6303^2522 is 11-PRP! (18.1384s+0.0020s)

Primality testing 2522^6303-6303^2522 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N+1 BLS with factored part 0.03% and helper 0.00% (0.08% proof)
2522^6303-6303^2522 is Fermat and Lucas PRP! (95.1487s+0.0048s)

To be completed...