Found with PFGW Version 3.7.5

998^9547-9547^998 is 2-PRP! (15.0128s+0.0011s)
998^9547-9547^998 is 3-PRP! (15.0547s+0.0010s)
998^9547-9547^998 is 5-PRP! (15.0883s+0.0011s)
998^9547-9547^998 is 7-PRP! (15.0297s+0.0010s)
998^9547-9547^998 is 11-PRP! (15.0841s+0.0011s)

Primality testing 998^9547-9547^998 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.06% and helper 0.02% (0.19% proof)
998^9547-9547^998 is Fermat and Lucas PRP! (90.2842s+0.0022s)

To be completed...