Found with PFGW Version 3.7.5

117^26131-116 is 2-PRP! (34.9033s+0.0038s)
117^26131-116 is 3-PRP! (35.0659s+0.0037s)
117^26131-116 is 5-PRP! (33.7138s+0.0036s)
117^26131-116 is 7-PRP! (38.5304s+0.0040s)
117^26131-116 is 11-PRP! (38.1893s+0.0041s)

Primality testing 117^26131-116 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 2+sqrt(23)
Calling N-1 BLS with factored part 0.37% and helper 0.00% (1.10% proof)
117^26131-116 is Fermat and Lucas PRP! (323.2785s+0.0036s)

To be completed...