Found with PFGW Version 3.7.5

3495^5908-5908^3495 is 2-PRP! (14.6708s+0.0020s)
3495^5908-5908^3495 is 3-PRP! (15.0093s+0.0026s)
3495^5908-5908^3495 is 5-PRP! (16.6243s+0.0027s)
3495^5908-5908^3495 is 7-PRP! (14.7410s+0.0018s)
3495^5908-5908^3495 is 11-PRP! (20.9398s+0.0019s)

Primality testing 3495^5908-5908^3495 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.12% and helper 0.01% (0.36% proof)
3495^5908-5908^3495 is Fermat and Lucas PRP! (81.0351s+0.0051s)

To be completed...