Found with PFGW Version 3.7.5

1696^8535-8535^1696 is 2-PRP! (14.1960s+0.0031s)
1696^8535-8535^1696 is 3-PRP! (14.2133s+0.0018s)
1696^8535-8535^1696 is 5-PRP! (14.2610s+0.0022s)
1696^8535-8535^1696 is 7-PRP! (14.1913s+0.0020s)
1696^8535-8535^1696 is 11-PRP! (14.2637s+0.0020s)

Primality testing 1696^8535-8535^1696 [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 0.03% (0.16% proof)
1696^8535-8535^1696 is Fermat and Lucas PRP! (70.1845s+0.0025s)

To be completed...