Found with PFGW Version 3.8.0

3^114892-114892^3 is 2-PRP! (58.5607s+0.0073s)
3^114892-114892^3 is 3-PRP! (58.2982s+0.0078s)
3^114892-114892^3 is 5-PRP! (58.4597s+0.0075s)
3^114892-114892^3 is 7-PRP! (56.6047s+0.0092s)
3^114892-114892^3 is 11-PRP! (60.2853s+0.0085s)

Primality testing 3^114892-114892^3 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
3^114892-114892^3 is Fermat and Lucas PRP! (289.0982s+0.0083s)

To be completed...