Found with PFGW Version 3.6.0

83^12377-82 is 2-PRP! (8.3560s+0.0024s)
83^12377-82 is 3-PRP! (8.3054s+0.0021s)
83^12377-82 is 5-PRP! (8.2848s+0.0023s)
83^12377-82 is 7-PRP! (8.2673s+0.0025s)
83^12377-82 is 11-PRP! (8.2496s+0.0039s)

Primality testing 83^12377-82 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 23
Running N+1 test using discriminant 43, base 12+sqrt(43)
Calling N-1 BLS with factored part 0.71% and helper 0.01% (2.14% proof)
83^12377-82 is Fermat and Lucas PRP! (63.3277s+0.0024s)

To be completed...