Found with PFGW Version 3.6.0

4090^4833-4833^4090 is 2-PRP! (13.3085s+0.0023s)
4090^4833-4833^4090 is 3-PRP! (13.2676s+0.0023s)
4090^4833-4833^4090 is 5-PRP! (13.2817s+0.0021s)
4090^4833-4833^4090 is 7-PRP! (13.2402s+0.0022s)
4090^4833-4833^4090 is 11-PRP! (13.2341s+0.0021s)

Primality testing 4090^4833-4833^4090 [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 0.06% and helper 0.03% (0.22% proof)
4090^4833-4833^4090 is Fermat and Lucas PRP! (63.4404s+0.0051s)

To be completed...