Found with PFGW Version 3.7.5

2859^9574-9574^2859 is 2-PRP! (22.0287s+0.0013s)
2859^9574-9574^2859 is 3-PRP! (21.6586s+0.0013s)
2859^9574-9574^2859 is 5-PRP! (22.2426s+0.0014s)
2859^9574-9574^2859 is 7-PRP! (21.3259s+0.0014s)
2859^9574-9574^2859 is 11-PRP! (21.5197s+0.0014s)

Primality testing 2859^9574-9574^2859 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.09% proof)
2859^9574-9574^2859 is Fermat and Lucas PRP! (105.8680s+0.0030s)

To be completed...