Found with PFGW Version 3.7.5

115^15355-114 is 2-PRP! (12.6312s+0.0022s)
115^15355-114 is 3-PRP! (11.8836s+0.0026s)
115^15355-114 is 5-PRP! (12.6990s+0.0021s)
115^15355-114 is 7-PRP! (13.6961s+0.0024s)
115^15355-114 is 11-PRP! (12.3197s+0.0022s)

Primality testing 115^15355-114 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 47, base 5+sqrt(47)
Calling N-1 BLS with factored part 0.09% and helper 0.00% (0.26% proof)
115^15355-114 is Fermat and Lucas PRP! (88.6222s+0.0030s)

To be completed...