Found with PFGW Version 3.7.5

112^18541-111 is 2-PRP! (25.3372s+0.0016s)
112^18541-111 is 3-PRP! (25.4796s+0.0018s)
112^18541-111 is 5-PRP! (25.3688s+0.0014s)
112^18541-111 is 7-PRP! (25.4918s+0.0017s)
112^18541-111 is 11-PRP! (26.6824s+0.0021s)

Primality testing 112^18541-111 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 23
Running N-1 test using base 59
Running N+1 test using discriminant 71, base 5+sqrt(71)
Calling N-1 BLS with factored part 0.42% and helper 0.01% (1.26% proof)
112^18541-111 is Fermat and Lucas PRP! (186.1348s+0.0034s)

To be completed...