Found with PFGW Version 3.7.5

124^13314-123 is 2-PRP! (4.7426s+0.0009s)
124^13314-123 is 3-PRP! (4.7277s+0.0011s)
124^13314-123 is 5-PRP! (4.7374s+0.0009s)
124^13314-123 is 7-PRP! (4.7392s+0.0010s)
124^13314-123 is 11-PRP! (4.7332s+0.0009s)

Primality testing 124^13314-123 [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 0.03% and helper 0.00% (0.09% proof)
124^13314-123 is Fermat and Lucas PRP! (41.4656s+0.0022s)

To be completed...