Found with PFGW Version 3.7.5

125^35622+124 is 2-PRP! (44.9537s+0.0034s)
125^35622+124 is 3-PRP! (43.1037s+0.0031s)
125^35622+124 is 5-PRP! (43.0478s+0.0031s)
125^35622+124 is 7-PRP! (42.8768s+0.0031s)
125^35622+124 is 11-PRP! (42.9060s+0.0030s)

Primality testing 125^35622+124 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling N+1 BLS with factored part 0.05% and helper 0.01% (0.15% proof)
125^35622+124 is Fermat and Lucas PRP! (306.8341s+0.0032s)

To be completed...