Euler's hypothesis was disproved in 1987 by a Harvard graduate student named Noam Elkies. And partially as a result, Noam ended up one of the youngest ever ten

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