Found with PFGW Version 3.7.5

4947^9824-9824^4947 is 2-PRP! (24.0989s+0.0015s)
4947^9824-9824^4947 is 3-PRP! (23.8496s+0.0014s)
4947^9824-9824^4947 is 5-PRP! (23.4721s+0.0014s)
4947^9824-9824^4947 is 7-PRP! (23.4229s+0.0016s)
4947^9824-9824^4947 is 11-PRP! (23.7615s+0.0016s)

Primality testing 4947^9824-9824^4947 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 7
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.07% proof)
4947^9824-9824^4947 is Fermat and Lucas PRP! (164.0116s+0.0023s)

To be completed...