Found with PFGW Version 3.7.5

6283^8888-8888^6283 is 2-PRP! (21.8858s+0.0016s)
6283^8888-8888^6283 is 3-PRP! (21.8155s+0.0015s)
6283^8888-8888^6283 is 5-PRP! (21.9845s+0.0014s)
6283^8888-8888^6283 is 7-PRP! (21.9947s+0.0014s)
6283^8888-8888^6283 is 11-PRP! (22.0515s+0.0014s)

Primality testing 6283^8888-8888^6283 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.12% proof)
6283^8888-8888^6283 is Fermat and Lucas PRP! (108.2548s+0.0028s)

To be completed...