Found with PFGW Version 3.5.2

2862^3541-3541^2862 is 2-PRP! (17.3075s+0.0050s)
2862^3541-3541^2862 is 3-PRP! (26.7791s+0.0108s)
2862^3541-3541^2862 is 5-PRP! (31.3045s+0.0121s)
2862^3541-3541^2862 is 7-PRP! (28.1777s+0.0098s)
2862^3541-3541^2862 is 11-PRP! (29.1670s+0.0246s)

Primality testing 2862^3541-3541^2862 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.14% proof)
2862^3541-3541^2862 is Fermat and Lucas PRP! (155.8056s+0.0167s)

To be completed...