Found with PFGW Version 3.7.5

7190^9679-9679^7190 is 2-PRP! (25.8829s+0.0021s)
7190^9679-9679^7190 is 3-PRP! (25.7346s+0.0019s)
7190^9679-9679^7190 is 5-PRP! (26.3909s+0.0016s)
7190^9679-9679^7190 is 7-PRP! (26.3400s+0.0054s)
7190^9679-9679^7190 is 11-PRP! (26.3464s+0.0016s)

Primality testing 7190^9679-9679^7190 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 9+sqrt(7)
Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.12% proof)
7190^9679-9679^7190 is Fermat and Lucas PRP! (157.6694s+0.0033s)

To be completed...