Found with PFGW Version 3.7.5

6530^8387-8387^6530 is 2-PRP! (19.2885s+0.0016s)
6530^8387-8387^6530 is 3-PRP! (18.8964s+0.0018s)
6530^8387-8387^6530 is 5-PRP! (18.6571s+0.0021s)
6530^8387-8387^6530 is 7-PRP! (18.6753s+0.0017s)
6530^8387-8387^6530 is 11-PRP! (19.1256s+0.0015s)

Primality testing 6530^8387-8387^6530 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.09% proof)
6530^8387-8387^6530 is Fermat and Lucas PRP! (112.2600s+0.0028s)

To be completed...