Found with PFGW Version 3.6.0

83^8884+82 is 2-PRP! (5.0782s+0.0018s)
83^8884+82 is 3-PRP! (4.9772s+0.0018s)
83^8884+82 is 5-PRP! (4.9818s+0.0022s)
83^8884+82 is 7-PRP! (4.9467s+0.0019s)
83^8884+82 is 11-PRP! (5.0213s+0.0020s)

Primality testing 83^8884+82 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling N+1 BLS with factored part 0.78% and helper 0.01% (2.34% proof)
83^8884+82 is Fermat and Lucas PRP! (33.5895s+0.0017s)

To be completed...