Found with PFGW Version 3.7.5

571^5850-5850^571 is 2-PRP! (7.3887s+0.0020s)
571^5850-5850^571 is 3-PRP! (8.1358s+0.0021s)
571^5850-5850^571 is 5-PRP! (8.0603s+0.0030s)
571^5850-5850^571 is 7-PRP! (7.3200s+0.0052s)
571^5850-5850^571 is 11-PRP! (7.6855s+0.0014s)

Primality testing 571^5850-5850^571 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 3+sqrt(23)
Calling N-1 BLS with factored part 0.04% and helper 0.03% (0.15% proof)
571^5850-5850^571 is Fermat and Lucas PRP! (45.6849s+0.0036s)

To be completed...