Found with PFGW Version 3.7.5

124^20019-20019^124 is 2-PRP! (36.3871s+0.0011s)
124^20019-20019^124 is 3-PRP! (36.4252s+0.0012s)
124^20019-20019^124 is 5-PRP! (36.0929s+0.0013s)
124^20019-20019^124 is 7-PRP! (36.3727s+0.0015s)
124^20019-20019^124 is 11-PRP! (36.2600s+0.0012s)

Primality testing 124^20019-20019^124 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.03% and helper 0.00% (0.10% proof)
124^20019-20019^124 is Fermat and Lucas PRP! (184.9281s+0.0022s)

To be completed...