Found with PFGW Version 3.6.0

572^4331-4331^572 is 2-PRP! (5.6019s+0.0028s)
572^4331-4331^572 is 3-PRP! (5.6590s+0.0019s)
572^4331-4331^572 is 5-PRP! (5.6507s+0.0032s)
572^4331-4331^572 is 7-PRP! (5.6959s+0.0016s)
572^4331-4331^572 is 11-PRP! (5.5981s+0.0048s)

Primality testing 572^4331-4331^572 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.12% proof)
572^4331-4331^572 is Fermat and Lucas PRP! (27.4359s+0.0016s)

To be completed...