Found with PFGW Version 3.6.0

1862^3659-3659^1862 is 2-PRP! (5.7441s+0.0035s)
1862^3659-3659^1862 is 3-PRP! (5.7134s+0.0046s)
1862^3659-3659^1862 is 5-PRP! (5.7100s+0.0017s)
1862^3659-3659^1862 is 7-PRP! (5.8923s+0.0018s)
1862^3659-3659^1862 is 11-PRP! (5.7179s+0.0047s)

Primality testing 1862^3659-3659^1862 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N+1 BLS with factored part 0.09% and helper 0.01% (0.27% proof)
1862^3659-3659^1862 is Fermat and Lucas PRP! (33.6909s+0.0019s)

To be completed...