The maths drive is like the sex drive

Mathematicians are famous for the lengths they go to when solving problems. To crack Fermat's Last Theorem, Andrew Wiles worked in isolation for more than six years. And Thomas Hales produced a body of work consisting of 250 pages of notes and 3 gigabytes of computer programs to solve Kepler's Conjecture, a problem open since 1611 regarding the most efficient way to stack cannonballs.

What is it that motivates mathematicians to go to these extremes? It seems there is something compelling, almost seductive, about their subject. Could there be some sort of drive, similar to the sex drive? In other words, something that we could call a "maths drive" that urges us to find new mathematical explanations and truths?

I'd say there is...