Found with PFGW Version 3.8.0

8918^11049-11049^8918 is 2-PRP! (35.8104s+0.0073s)
8918^11049-11049^8918 is 3-PRP! (35.7632s+0.0085s)
8918^11049-11049^8918 is 5-PRP! (35.7566s+0.0069s)
8918^11049-11049^8918 is 7-PRP! (35.7391s+0.0077s)
8918^11049-11049^8918 is 11-PRP! (35.7618s+0.0066s)

Primality testing 8918^11049-11049^8918 [N-1/N+1, Brillhart-Lehmer-Selfridge]
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 0.02% and helper 0.01% (0.07% proof)
8918^11049-11049^8918 is Fermat and Lucas PRP! (180.9363s+0.0081s)

To be completed...