Found with PFGW Version 3.7.5

1699^10394-10394^1699 is 2-PRP! (21.8840s+0.0030s)
1699^10394-10394^1699 is 3-PRP! (21.2108s+0.0025s)
1699^10394-10394^1699 is 5-PRP! (21.2319s+0.0024s)
1699^10394-10394^1699 is 7-PRP! (21.2957s+0.0023s)
1699^10394-10394^1699 is 11-PRP! (21.2169s+0.0024s)

Primality testing 1699^10394-10394^1699 [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 0.03% and helper 0.02% (0.10% proof)
1699^10394-10394^1699 is Fermat and Lucas PRP! (107.4963s+0.0026s)

To be completed...