Found with PFGW Version 3.4.8

1635^3262-3262^1635 is 2-PRP! (10.3927s+0.0044s)
1635^3262-3262^1635 is 3-PRP! (17.8648s+0.0091s)
1635^3262-3262^1635 is 5-PRP! (24.6120s+0.0111s)
1635^3262-3262^1635 is 7-PRP! (24.4100s+0.0115s)
1635^3262-3262^1635 is 11-PRP! (24.5579s+0.0060s)

Primality testing 1635^3262-3262^1635 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.05% and helper 0.04% (0.21% proof)
1635^3262-3262^1635 is Fermat and Lucas PRP! (126.1231s+0.0134s)

To be completed...