Found with PFGW Version 3.6.0

76^27112-75 is 2-PRP! (37.9101s+0.0026s)
76^27112-75 is 3-PRP! (37.6519s+0.0029s)
76^27112-75 is 5-PRP! (37.7094s+0.0044s)
76^27112-75 is 7-PRP! (37.7816s+0.0046s)
76^27112-75 is 11-PRP! (37.6182s+0.0026s)

Primality testing 76^27112-75 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 7
Running N-1 test using base 13
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N-1 BLS with factored part 0.05% and helper 0.03% (0.17% proof)
76^27112-75 is Fermat and Lucas PRP! (352.0906s+0.0047s)

To be completed...