Found with PFGW Version 3.5.2

76^13043-75 is 2-PRP! (19.5017s+0.0178s)
76^13043-75 is 3-PRP! (28.8108s+0.0233s)
76^13043-75 is 5-PRP! (41.8236s+0.0105s)
76^13043-75 is 7-PRP! (35.0455s+0.0052s)
76^13043-75 is 11-PRP! (43.6498s+0.0108s)

Primality testing 76^13043-75 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N-1 BLS with factored part 0.09% and helper 0.03% (0.30% proof)
76^13043-75 is Fermat and Lucas PRP! (170.2110s+0.0095s)

To be completed...