Found with PFGW Version 3.8.0

8993^12732-12732^8993 is 2-PRP! (46.8495s+0.0083s)
8993^12732-12732^8993 is 3-PRP! (52.3799s+0.0081s)
8993^12732-12732^8993 is 5-PRP! (52.4123s+0.0091s)
8993^12732-12732^8993 is 7-PRP! (51.1059s+0.0096s)
8993^12732-12732^8993 is 11-PRP! (49.4122s+0.0078s)

Primality testing 8993^12732-12732^8993 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 14+sqrt(19)
Calling N-1 BLS with factored part 0.03% and helper 0.02% (0.12% proof)
8993^12732-12732^8993 is Fermat and Lucas PRP! (287.1698s+0.0085s)

To be completed...