Found with PFGW Version 3.7.5

1382^8971-8971^1382 is 2-PRP! (14.8201s+0.0011s)
1382^8971-8971^1382 is 3-PRP! (14.8275s+0.0019s)
1382^8971-8971^1382 is 5-PRP! (14.8044s+0.0010s)
1382^8971-8971^1382 is 7-PRP! (14.8036s+0.0010s)
1382^8971-8971^1382 is 11-PRP! (14.7610s+0.0011s)

Primality testing 1382^8971-8971^1382 [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 3+sqrt(11)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.12% proof)
1382^8971-8971^1382 is Fermat and Lucas PRP! (89.0943s+0.0027s)

To be completed...