Found with PFGW Version 3.7.5

1981^7934-7934^1981 is 2-PRP! (27.6999s+0.0047s)
1981^7934-7934^1981 is 3-PRP! (27.4733s+0.0044s)
1981^7934-7934^1981 is 5-PRP! (26.1043s+0.0044s)
1981^7934-7934^1981 is 7-PRP! (25.8393s+0.0042s)
1981^7934-7934^1981 is 11-PRP! (22.1251s+0.0023s)

Primality testing 1981^7934-7934^1981 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.09% and helper 0.03% (0.29% proof)
1981^7934-7934^1981 is Fermat and Lucas PRP! (158.2546s+0.0050s)

To be completed...