Found with PFGW Version 3.8.0

7^188858-188858^7 is 2-PRP! (609.1960s+0.0094s)
7^188858-188858^7 is 3-PRP! (611.9798s+0.0092s)
7^188858-188858^7 is 5-PRP! (625.4881s+0.0090s)
7^188858-188858^7 is 7-PRP! (611.3880s+0.0100s)
7^188858-188858^7 is 11-PRP! (635.2829s+0.0087s)

Primality testing 7^188858-188858^7 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)
7^188858-188858^7 is Fermat and Lucas PRP! (3025.5390s+0.0233s)

To be completed...