Found with PFGW Version 3.7.5

8084^9609-9609^8084 is 2-PRP! (25.9324s+0.0029s)
8084^9609-9609^8084 is 3-PRP! (25.9788s+0.0011s)
8084^9609-9609^8084 is 5-PRP! (26.1093s+0.0011s)
8084^9609-9609^8084 is 7-PRP! (26.3458s+0.0010s)
8084^9609-9609^8084 is 11-PRP! (25.8276s+0.0013s)

Primality testing 8084^9609-9609^8084 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N-1 BLS with factored part 0.04% and helper 0.03% (0.15% proof)
8084^9609-9609^8084 is Fermat and Lucas PRP! (157.5807s+0.0077s)

To be completed...