Found with PFGW Version 3.7.5

8218^10467-10467^8218 is 2-PRP! (34.7325s+0.0019s)
8218^10467-10467^8218 is 3-PRP! (34.7349s+0.0020s)
8218^10467-10467^8218 is 5-PRP! (34.4600s+0.0023s)
8218^10467-10467^8218 is 7-PRP! (34.7362s+0.0019s)
8218^10467-10467^8218 is 11-PRP! (34.7325s+0.0019s)

Primality testing 8218^10467-10467^8218 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.09% proof)
8218^10467-10467^8218 is Fermat and Lucas PRP! (173.6099s+0.0029s)

To be completed...