Found with PFGW Version 3.6.0

2133^4138-4138^2133 is 2-PRP! (9.1833s+0.0029s)
2133^4138-4138^2133 is 3-PRP! (9.2456s+0.0033s)
2133^4138-4138^2133 is 5-PRP! (9.2298s+0.0034s)
2133^4138-4138^2133 is 7-PRP! (9.1757s+0.0020s)
2133^4138-4138^2133 is 11-PRP! (9.1778s+0.0031s)

Primality testing 2133^4138-4138^2133 [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 0.10% and helper 0.04% (0.35% proof)
2133^4138-4138^2133 is Fermat and Lucas PRP! (43.2132s+0.0021s)

To be completed...