Found with PFGW Version 3.7.5

1826^8947-8947^1826 is 2-PRP! (15.3927s+0.0012s)
1826^8947-8947^1826 is 3-PRP! (15.3648s+0.0012s)
1826^8947-8947^1826 is 5-PRP! (15.3418s+0.0011s)
1826^8947-8947^1826 is 7-PRP! (15.4170s+0.0011s)
1826^8947-8947^1826 is 11-PRP! (15.3115s+0.0013s)

Primality testing 1826^8947-8947^1826 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.05% and helper 0.04% (0.19% proof)
1826^8947-8947^1826 is Fermat and Lucas PRP! (76.7343s+0.0019s)

To be completed...