Found with PFGW Version 3.8.0

7395^13502-13502^7395 is 2-PRP! (55.2244s+0.0107s)
7395^13502-13502^7395 is 3-PRP! (55.7220s+0.0099s)
7395^13502-13502^7395 is 5-PRP! (52.4950s+0.0107s)
7395^13502-13502^7395 is 7-PRP! (57.5347s+0.0112s)
7395^13502-13502^7395 is 11-PRP! (53.7056s+0.0113s)

Primality testing 7395^13502-13502^7395 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.11% proof)
7395^13502-13502^7395 is Fermat and Lucas PRP! (274.9260s+0.0115s)

To be completed...