Found with PFGW Version 3.7.5

124^18504-123 is 2-PRP! (11.0711s+0.0010s)
124^18504-123 is 3-PRP! (11.0704s+0.0011s)
124^18504-123 is 5-PRP! (11.0759s+0.0010s)
124^18504-123 is 7-PRP! (11.0765s+0.0010s)
124^18504-123 is 11-PRP! (11.0756s+0.0010s)

Primality testing 124^18504-123 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.10% proof)
124^18504-123 is Fermat and Lucas PRP! (89.1788s+0.0019s)

To be completed...