Found with PFGW Version 3.8.0

111^54298+110 is 2-PRP! (85.7851s+0.0100s)
111^54298+110 is 3-PRP! (84.0068s+0.0106s)
111^54298+110 is 5-PRP! (85.3306s+0.0100s)
111^54298+110 is 7-PRP! (86.4928s+0.0101s)
111^54298+110 is 11-PRP! (83.5901s+0.0101s)

Primality testing 111^54298+110 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 29
Running N+1 test using discriminant 41, base 1+sqrt(41)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
111^54298+110 is Fermat and Lucas PRP! (689.9175s+0.0094s)

To be completed...