Found with PFGW Version 3.7.5

8143^10428-10428^8143 is 2-PRP! (35.0553s+0.0020s)
8143^10428-10428^8143 is 3-PRP! (34.6259s+0.0018s)
8143^10428-10428^8143 is 5-PRP! (34.6355s+0.0020s)
8143^10428-10428^8143 is 7-PRP! (34.2592s+0.0020s)
8143^10428-10428^8143 is 11-PRP! (34.3107s+0.0020s)

Primality testing 8143^10428-10428^8143 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 17
Running N+1 test using discriminant 31, base 17+sqrt(31)
Calling N-1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
8143^10428-10428^8143 is Fermat and Lucas PRP! (223.6564s+0.0028s)

To be completed...