Found with PFGW Version 3.7.5

4883^8798-8798^4883 is 2-PRP! (18.2556s+0.0015s)
4883^8798-8798^4883 is 3-PRP! (18.2685s+0.0014s)
4883^8798-8798^4883 is 5-PRP! (18.1905s+0.0015s)
4883^8798-8798^4883 is 7-PRP! (18.0866s+0.0014s)
4883^8798-8798^4883 is 11-PRP! (18.1550s+0.0014s)

Primality testing 4883^8798-8798^4883 [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 0.05% and helper 0.02% (0.18% proof)
4883^8798-8798^4883 is Fermat and Lucas PRP! (111.3931s+0.0030s)

To be completed...