Found with PFGW Version 3.7.5

8630^9479-9479^8630 is 2-PRP! (27.7280s+0.0024s)
8630^9479-9479^8630 is 3-PRP! (27.3084s+0.0021s)
8630^9479-9479^8630 is 5-PRP! (26.7602s+0.0021s)
8630^9479-9479^8630 is 7-PRP! (26.8534s+0.0022s)
8630^9479-9479^8630 is 11-PRP! (28.0477s+0.0019s)

Primality testing 8630^9479-9479^8630 [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 0.06% and helper 0.02% (0.20% proof)
8630^9479-9479^8630 is Fermat and Lucas PRP! (163.3690s+0.0028s)

To be completed...