Found with PFGW Version 3.7.5

6673^9770-9770^6673 is 2-PRP! (26.4057s+0.0020s)
6673^9770-9770^6673 is 3-PRP! (26.1047s+0.0021s)
6673^9770-9770^6673 is 5-PRP! (26.3979s+0.0017s)
6673^9770-9770^6673 is 7-PRP! (25.6830s+0.0017s)
6673^9770-9770^6673 is 11-PRP! (25.7263s+0.0017s)

Primality testing 6673^9770-9770^6673 [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 0.03% and helper 0.01% (0.10% proof)
6673^9770-9770^6673 is Fermat and Lucas PRP! (148.6643s+0.0025s)

To be completed...