Found with PFGW Version 3.6.0

1382^3793-3793^1382 is 2-PRP! (5.6959s+0.0021s)
1382^3793-3793^1382 is 3-PRP! (5.6088s+0.0017s)
1382^3793-3793^1382 is 5-PRP! (5.6488s+0.0032s)
1382^3793-3793^1382 is 7-PRP! (5.6510s+0.0019s)
1382^3793-3793^1382 is 11-PRP! (5.6625s+0.0031s)

Primality testing 1382^3793-3793^1382 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 8+sqrt(7)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.04% proof)
1382^3793-3793^1382 is Fermat and Lucas PRP! (27.1242s+0.0031s)

To be completed...