Found with PFGW Version 3.7.5

2827^10566-10566^2827 is 2-PRP! (23.1604s+0.0022s)
2827^10566-10566^2827 is 3-PRP! (23.7521s+0.0022s)
2827^10566-10566^2827 is 5-PRP! (23.9242s+0.0023s)
2827^10566-10566^2827 is 7-PRP! (23.7200s+0.0023s)
2827^10566-10566^2827 is 11-PRP! (23.9135s+0.0024s)

Primality testing 2827^10566-10566^2827 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.08% proof)
2827^10566-10566^2827 is Fermat and Lucas PRP! (141.8806s+0.0026s)

To be completed...