Found with PFGW Version 3.6.0

188^5023-5023^188 is 2-PRP! (5.2286s+0.0015s)
188^5023-5023^188 is 3-PRP! (5.2303s+0.0016s)
188^5023-5023^188 is 5-PRP! (5.2237s+0.0014s)
188^5023-5023^188 is 7-PRP! (5.2282s+0.0013s)
188^5023-5023^188 is 11-PRP! (5.2316s+0.0014s)

Primality testing 188^5023-5023^188 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 15+sqrt(7)
Calling N+1 BLS with factored part 0.07% and helper 0.01% (0.22% proof)
188^5023-5023^188 is Fermat and Lucas PRP! (30.3679s+0.0031s)

To be completed...