Found with PFGW Version 3.7.5

1844^10511-10511^1844 is 2-PRP! (22.3165s+0.0014s)
1844^10511-10511^1844 is 3-PRP! (22.1400s+0.0014s)
1844^10511-10511^1844 is 5-PRP! (22.2923s+0.0012s)
1844^10511-10511^1844 is 7-PRP! (22.3170s+0.0015s)
1844^10511-10511^1844 is 11-PRP! (22.3132s+0.0015s)

Primality testing 1844^10511-10511^1844 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
1844^10511-10511^1844 is Fermat and Lucas PRP! (109.3579s+0.0022s)

To be completed...