Found with PFGW Version 3.7.5

117^8776+116 is 2-PRP! (3.6242s+0.0019s)
117^8776+116 is 3-PRP! (3.4514s+0.0028s)
117^8776+116 is 5-PRP! (3.5606s+0.0023s)
117^8776+116 is 7-PRP! (3.3673s+0.0021s)
117^8776+116 is 11-PRP! (3.3721s+0.0027s)

Primality testing 117^8776+116 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 4+sqrt(5)
Calling N+1 BLS with factored part 0.51% and helper 0.01% (1.53% proof)
117^8776+116 is Fermat and Lucas PRP! (26.5056s+0.0022s)

To be completed...