Found with PFGW Version 3.7.5

1379^10848-10848^1379 is 2-PRP! (21.5274s+0.0007s)
1379^10848-10848^1379 is 3-PRP! (22.1735s+0.0007s)
1379^10848-10848^1379 is 5-PRP! (22.0008s+0.0006s)
1379^10848-10848^1379 is 7-PRP! (21.9136s+0.0006s)
1379^10848-10848^1379 is 11-PRP! (22.1962s+0.0006s)

Primality testing 1379^10848-10848^1379 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N-1 test using base 19
Running N+1 test using discriminant 29, base 10+sqrt(29)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.11% proof)
1379^10848-10848^1379 is Fermat and Lucas PRP! (132.9120s+0.0013s)

To be completed...