Found with PFGW Version 3.7.5

7974^8981-8981^7974 is 2-PRP! (22.0559s+0.0074s)
7974^8981-8981^7974 is 3-PRP! (22.6504s+0.0018s)
7974^8981-8981^7974 is 5-PRP! (22.6234s+0.0017s)
7974^8981-8981^7974 is 7-PRP! (23.0953s+0.0018s)
7974^8981-8981^7974 is 11-PRP! (22.5354s+0.0018s)

Primality testing 7974^8981-8981^7974 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.06% and helper 0.01% (0.18% proof)
7974^8981-8981^7974 is Fermat and Lucas PRP! (116.1660s+0.0026s)

To be completed...