Found with PFGW Version 3.7.5

933^10388-10388^933 is 2-PRP! (17.1101s+0.0011s)
933^10388-10388^933 is 3-PRP! (17.1562s+0.0013s)
933^10388-10388^933 is 5-PRP! (16.9539s+0.0006s)
933^10388-10388^933 is 7-PRP! (16.9434s+0.0006s)
933^10388-10388^933 is 11-PRP! (17.0588s+0.0006s)

Primality testing 933^10388-10388^933 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 10+sqrt(13)
Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.09% proof)
933^10388-10388^933 is Fermat and Lucas PRP! (107.5241s+0.0015s)

To be completed...