Found with PFGW Version 3.8.0

7559^13158-13158^7559 is 2-PRP! (47.6712s+0.0100s)
7559^13158-13158^7559 is 3-PRP! (47.5976s+0.0093s)
7559^13158-13158^7559 is 5-PRP! (47.5594s+0.0210s)
7559^13158-13158^7559 is 7-PRP! (47.6216s+0.0182s)
7559^13158-13158^7559 is 11-PRP! (47.8763s+0.0102s)

Primality testing 7559^13158-13158^7559 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.07% proof)
7559^13158-13158^7559 is Fermat and Lucas PRP! (296.6223s+0.0203s)

To be completed...