Found with PFGW Version 3.6.0

4352^4653-4653^4352 is 2-PRP! (12.7851s+0.0022s)
4352^4653-4653^4352 is 3-PRP! (12.8751s+0.0028s)
4352^4653-4653^4352 is 5-PRP! (12.9844s+0.0032s)
4352^4653-4653^4352 is 7-PRP! (13.1913s+0.0024s)
4352^4653-4653^4352 is 11-PRP! (13.6758s+0.0030s)

Primality testing 4352^4653-4653^4352 [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 0.06% and helper 0.01% (0.21% proof)
4352^4653-4653^4352 is Fermat and Lucas PRP! (61.3220s+0.0018s)

To be completed...