Found with PFGW Version 3.6.0

986^5055-5055^986 is 2-PRP! (9.1287s+0.0018s)
986^5055-5055^986 is 3-PRP! (10.2753s+0.0015s)
986^5055-5055^986 is 5-PRP! (9.9401s+0.0018s)
986^5055-5055^986 is 7-PRP! (10.0198s+0.0016s)
986^5055-5055^986 is 11-PRP! (10.4059s+0.0017s)

Primality testing 986^5055-5055^986 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.07% and helper 0.03% (0.24% proof)
986^5055-5055^986 is Fermat and Lucas PRP! (48.5263s+0.0041s)

To be completed...