Found with PFGW Version 3.7.5

112^14583-111 is 2-PRP! (9.7269s+0.0016s)
112^14583-111 is 3-PRP! (9.3541s+0.0014s)
112^14583-111 is 5-PRP! (9.4771s+0.0018s)
112^14583-111 is 7-PRP! (10.1807s+0.0016s)
112^14583-111 is 11-PRP! (10.4554s+0.0019s)

Primality testing 112^14583-111 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.08% and helper 0.03% (0.29% proof)
112^14583-111 is Fermat and Lucas PRP! (90.7986s+0.0029s)

To be completed...