Found with PFGW Version 3.7.5

3546^8653-8653^3546 is 2-PRP! (16.2336s+0.0013s)
3546^8653-8653^3546 is 3-PRP! (16.2044s+0.0013s)
3546^8653-8653^3546 is 5-PRP! (16.2557s+0.0013s)
3546^8653-8653^3546 is 7-PRP! (16.2509s+0.0013s)
3546^8653-8653^3546 is 11-PRP! (16.2188s+0.0012s)

Primality testing 3546^8653-8653^3546 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.09% proof)
3546^8653-8653^3546 is Fermat and Lucas PRP! (80.8581s+0.0021s)

To be completed...