Found with PFGW Version 3.7.5

28118^30097-30097^28118 is 2-PRP! (381.1480s+0.0075s)
28118^30097-30097^28118 is 3-PRP! (379.8118s+0.0068s)
28118^30097-30097^28118 is 5-PRP! (384.3625s+0.0069s)
28118^30097-30097^28118 is 7-PRP! (381.6338s+0.0074s)
28118^30097-30097^28118 is 11-PRP! (380.4828s+0.0068s)

Primality testing 28118^30097-30097^28118 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.06% proof)
28118^30097-30097^28118 is Fermat and Lucas PRP! (2252.5341s+0.0080s)

To be completed...