Found with PFGW Version 3.5.2

78^11242+77 is 2-PRP! (16.1833s+0.0051s)
78^11242+77 is 3-PRP! (31.4001s+0.0054s)
78^11242+77 is 5-PRP! (38.8043s+0.0127s)
78^11242+77 is 7-PRP! (35.7925s+0.4165s)
78^11242+77 is 11-PRP! (39.0904s+0.0134s)

Primality testing 78^11242+77 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 3+sqrt(17)
Calling N+1 BLS with factored part 0.18% and helper 0.04% (0.59% proof)
78^11242+77 is Fermat and Lucas PRP! (279.0980s+0.0157s)

To be completed...