Found with PFGW Version 3.7.5

1822^5271-5271^1822 is 2-PRP! (10.3074s+0.0090s)
1822^5271-5271^1822 is 3-PRP! (11.9942s+0.0006s)
1822^5271-5271^1822 is 5-PRP! (11.2114s+0.0006s)
1822^5271-5271^1822 is 7-PRP! (11.7416s+0.0009s)
1822^5271-5271^1822 is 11-PRP! (13.3311s+0.0011s)

Primality testing 1822^5271-5271^1822 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 6+sqrt(7)
Calling N+1 BLS with factored part 0.07% and helper 0.02% (0.22% proof)
1822^5271-5271^1822 is Fermat and Lucas PRP! (59.5721s+0.0023s)

To be completed...