[captaincaveman]

"Top Programmers", hmm depends what you mean by this, do you mean solving the sort of very narrow problems as done in Olympiads and the like, or something more useful.

I suspect the 'Top Mathematicians' are not those that are best at calculation, like you might get in Olympiads, but those which are able to apply maths to solve real world problems or produce creative breakthroughs. Being good enough at calculation very likely helps, but isn't sufficient.