Found with PFGW Version 3.8.0

4109^13298-13298^4109 is 2-PRP! (43.1553s+0.0023s)
4109^13298-13298^4109 is 3-PRP! (43.1121s+0.0015s)
4109^13298-13298^4109 is 5-PRP! (43.7279s+0.0013s)
4109^13298-13298^4109 is 7-PRP! (43.0104s+0.0013s)
4109^13298-13298^4109 is 11-PRP! (43.9942s+0.0015s)

Primality testing 4109^13298-13298^4109 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.06% proof)
4109^13298-13298^4109 is Fermat and Lucas PRP! (247.9480s+0.0060s)

To be completed...