Found with PFGW Version 3.7.5

7298^7909-7909^7298 is 2-PRP! (31.1149s+0.0019s)
7298^7909-7909^7298 is 3-PRP! (34.3958s+0.0018s)
7298^7909-7909^7298 is 5-PRP! (27.8886s+0.0016s)
7298^7909-7909^7298 is 7-PRP! (27.1123s+0.0018s)
7298^7909-7909^7298 is 11-PRP! (25.8831s+0.0018s)

Primality testing 7298^7909-7909^7298 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N-1 test using base 11
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 2+sqrt(23)
Calling N-1 BLS with factored part 0.03% and helper 0.02% (0.13% proof)
7298^7909-7909^7298 is Fermat and Lucas PRP! (251.0094s+0.0033s)

To be completed...