Found with PFGW Version 3.7.5

8014^9939-9939^8014 is 2-PRP! (26.7519s+0.0018s)
8014^9939-9939^8014 is 3-PRP! (26.8373s+0.0017s)
8014^9939-9939^8014 is 5-PRP! (26.8534s+0.0018s)
8014^9939-9939^8014 is 7-PRP! (27.1890s+0.0019s)
8014^9939-9939^8014 is 11-PRP! (26.9673s+0.0017s)

Primality testing 8014^9939-9939^8014 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.09% proof)
8014^9939-9939^8014 is Fermat and Lucas PRP! (180.8540s+0.0030s)

To be completed...