Found with PFGW Version 3.7.5

2031^5690-5690^2031 is 2-PRP! (10.4832s+0.0018s)
2031^5690-5690^2031 is 3-PRP! (10.6904s+0.0023s)
2031^5690-5690^2031 is 5-PRP! (10.9192s+0.0022s)
2031^5690-5690^2031 is 7-PRP! (10.5436s+0.0018s)
2031^5690-5690^2031 is 11-PRP! (10.7232s+0.0023s)

Primality testing 2031^5690-5690^2031 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 6+sqrt(19)
Calling N+1 BLS with factored part 0.07% and helper 0.05% (0.26% proof)
2031^5690-5690^2031 is Fermat and Lucas PRP! (53.9393s+0.0037s)

To be completed...