Try it. You may be surprised. Here's a good one: zonkedyak.blogspot.com/2006/11/worlds-hardest-sudoku-puzzle-al.html
Also try a 5-based instance of the same problem (against the standard 3-base of sudoku, that is, a 5x5 matrix of 5x5 matrices containing the numbers 1-25), and compare performance of that problem to a normal solver.
I'm not going to tell you what will happen, because you won't believe me. Somebody seems to have cast a glamor on GP.