Found with PFGW Version 3.6.0

8024^10125-10125^8024 is 2-PRP! (77.5487s+0.0033s)
8024^10125-10125^8024 is 3-PRP! (77.4908s+0.0032s)
8024^10125-10125^8024 is 5-PRP! (77.3893s+0.0032s)
8024^10125-10125^8024 is 7-PRP! (77.3672s+0.0031s)
8024^10125-10125^8024 is 11-PRP! (77.6320s+0.0032s)

Primality testing 8024^10125-10125^8024 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 37, base 1+sqrt(37)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
8024^10125-10125^8024 is Fermat and Lucas PRP! (359.2133s+0.0053s)

To be completed...