Found with PFGW Version 3.7.5

5610^5653-5653^5610 is 2-PRP! (20.0315s+0.0022s)
5610^5653-5653^5610 is 3-PRP! (19.5161s+0.0030s)
5610^5653-5653^5610 is 5-PRP! (19.8331s+0.0023s)
5610^5653-5653^5610 is 7-PRP! (19.6944s+0.0027s)
5610^5653-5653^5610 is 11-PRP! (20.5806s+0.0021s)

Primality testing 5610^5653-5653^5610 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.07% proof)
5610^5653-5653^5610 is Fermat and Lucas PRP! (93.3900s+0.0034s)

To be completed...