Found with PFGW Version 3.8.0

507^20572+20572^507 is 2-PRP! (58.9691s+0.0069s)
507^20572+20572^507 is 3-PRP! (59.0964s+0.0071s)
507^20572+20572^507 is 5-PRP! (59.0298s+0.0073s)
507^20572+20572^507 is 7-PRP! (59.0726s+0.0077s)
507^20572+20572^507 is 11-PRP! (59.2031s+0.0081s)

Primality testing 507^20572+20572^507 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)
507^20572+20572^507 is Fermat and Lucas PRP! (361.7899s+0.0085s)

To be completed...