Found with PFGW Version 3.6.0

5726^10105-10105^5726 is 2-PRP! (67.5799s+0.0035s)
5726^10105-10105^5726 is 3-PRP! (67.2091s+0.0037s)
5726^10105-10105^5726 is 5-PRP! (67.0449s+0.0040s)
5726^10105-10105^5726 is 7-PRP! (66.8045s+0.0034s)
5726^10105-10105^5726 is 11-PRP! (67.3982s+0.0035s)

Primality testing 5726^10105-10105^5726 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N-1 BLS with factored part 0.06% and helper 0.02% (0.19% proof)
5726^10105-10105^5726 is Fermat and Lucas PRP! (377.2704s+0.0040s)

To be completed...