Found with PFGW Version 3.8.0

8329^13022-13022^8329 is 2-PRP! (47.2348s+0.0087s)
8329^13022-13022^8329 is 3-PRP! (48.6445s+0.0101s)
8329^13022-13022^8329 is 5-PRP! (48.0728s+0.0083s)
8329^13022-13022^8329 is 7-PRP! (47.4247s+0.0088s)
8329^13022-13022^8329 is 11-PRP! (47.5063s+0.0091s)

Primality testing 8329^13022-13022^8329 [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 0.02% and helper 0.01% (0.08% proof)
8329^13022-13022^8329 is Fermat and Lucas PRP! (279.3335s+0.0055s)

To be completed...