Found with PFGW Version 3.8.0

1124^14637-14637^1124 is 2-PRP! (38.4613s+0.0086s)
1124^14637-14637^1124 is 3-PRP! (38.1040s+0.0073s)
1124^14637-14637^1124 is 5-PRP! (38.4314s+0.0049s)
1124^14637-14637^1124 is 7-PRP! (40.6852s+0.0077s)
1124^14637-14637^1124 is 11-PRP! (38.7789s+0.0088s)

Primality testing 1124^14637-14637^1124 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 7
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.04% proof)
1124^14637-14637^1124 is Fermat and Lucas PRP! (267.4930s+0.0054s)

To be completed...