<i>Euler's hypothesis was disproved in 1987 by a Harvard graduate student named Noam Elkies.</i><p>And partially as a result, Noam ended up one of the youngest ever tenured professors at Harvard (at the age of 26).<p>I met Noam when hanging out with guys from the Harvard Glee Club, which Noam accompanies on piano.
Reading Noam's CV (<a href="http://www.math.harvard.edu/~elkies/math_cv.html" rel="nofollow">http://www.math.harvard.edu/~elkies/math_cv.html</a>) was one of the most humbling experiences I've ever had.