Found with PFGW Version 3.8.0

107^53125-106 is 2-PRP! (74.0918s+0.0137s)
107^53125-106 is 3-PRP! (74.4910s+0.0066s)
107^53125-106 is 5-PRP! (76.6816s+0.0060s)
107^53125-106 is 7-PRP! (75.9486s+0.0067s)
107^53125-106 is 11-PRP! (74.2446s+0.0069s)

Primality testing 107^53125-106 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N-1 test using base 23
Running N+1 test using discriminant 31, base 10+sqrt(31)
Calling N-1 BLS with factored part 0.12% and helper 0.01% (0.38% proof)
107^53125-106 is Fermat and Lucas PRP! (609.7052s+0.0073s)

To be completed...