Found with PFGW Version 3.6.0

1827^4348-4348^1827 is 2-PRP! (9.3845s+0.0033s)
1827^4348-4348^1827 is 3-PRP! (9.6610s+0.0019s)
1827^4348-4348^1827 is 5-PRP! (9.7464s+0.0022s)
1827^4348-4348^1827 is 7-PRP! (9.6557s+0.0019s)
1827^4348-4348^1827 is 11-PRP! (9.6503s+0.0031s)

Primality testing 1827^4348-4348^1827 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.06% and helper 0.01% (0.20% proof)
1827^4348-4348^1827 is Fermat and Lucas PRP! (45.8279s+0.0019s)

To be completed...