Found with PFGW Version 3.6.0

1809^3850-3850^1809 is 2-PRP! (5.6564s+0.0018s)
1809^3850-3850^1809 is 3-PRP! (5.6665s+0.0019s)
1809^3850-3850^1809 is 5-PRP! (5.7124s+0.0018s)
1809^3850-3850^1809 is 7-PRP! (5.6582s+0.0032s)
1809^3850-3850^1809 is 11-PRP! (5.6349s+0.0018s)

Primality testing 1809^3850-3850^1809 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.09% and helper 0.04% (0.32% proof)
1809^3850-3850^1809 is Fermat and Lucas PRP! (28.9602s+0.0046s)

To be completed...