Found with PFGW Version 3.8.0

5247^10942-10942^5247 is 2-PRP! (33.4182s+0.0012s)
5247^10942-10942^5247 is 3-PRP! (33.3211s+0.0012s)
5247^10942-10942^5247 is 5-PRP! (33.2892s+0.0010s)
5247^10942-10942^5247 is 7-PRP! (35.2326s+0.0011s)
5247^10942-10942^5247 is 11-PRP! (33.3228s+0.0012s)

Primality testing 5247^10942-10942^5247 [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 0.02% and helper 0.01% (0.06% proof)
5247^10942-10942^5247 is Fermat and Lucas PRP! (170.5951s+0.0041s)

To be completed...