Found with PFGW Version 3.6.0

77^19043-76 is 2-PRP! (20.6636s+0.0026s)
77^19043-76 is 3-PRP! (20.6989s+0.0027s)
77^19043-76 is 5-PRP! (20.6791s+0.0027s)
77^19043-76 is 7-PRP! (20.6725s+0.0030s)
77^19043-76 is 11-PRP! (20.5796s+0.0030s)

Primality testing 77^19043-76 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 17
Running N-1 test using base 23
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N-1 BLS with factored part 0.07% and helper 0.02% (0.22% proof)
77^19043-76 is Fermat and Lucas PRP! (187.9884s+0.0027s)

To be completed...