Found with PFGW Version 3.5.2

77^10332+76 is 2-PRP! (12.5483s+0.0054s)
77^10332+76 is 3-PRP! (21.1494s+0.0196s)
77^10332+76 is 5-PRP! (29.2778s+0.0241s)
77^10332+76 is 7-PRP! (23.7522s+0.0101s)
77^10332+76 is 11-PRP! (29.0176s+0.0119s)

Primality testing 77^10332+76 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 4+sqrt(5)
Calling N-1 BLS with factored part 0.08% and helper 0.06% (0.30% proof)
77^10332+76 is Fermat and Lucas PRP! (148.7275s+0.0096s)

To be completed...