Found with PFGW Version 3.8.0

2545^13388-13388^2545 is 2-PRP! (39.0140s+0.0088s)
2545^13388-13388^2545 is 3-PRP! (38.6134s+0.0081s)
2545^13388-13388^2545 is 5-PRP! (39.8568s+0.0097s)
2545^13388-13388^2545 is 7-PRP! (40.9657s+0.0098s)
2545^13388-13388^2545 is 11-PRP! (39.8243s+0.0096s)

Primality testing 2545^13388-13388^2545 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.03% and helper 0.02% (0.10% proof)
2545^13388-13388^2545 is Fermat and Lucas PRP! (196.2752s+0.0103s)

To be completed...