# The Beauty of Bounded Gaps: A huge discovery about prime numbers and what it means for the future of mathematics

by Jordan Ellenberg

Year of Award: 2014

Publication Information: Math Horizons, Vol. 21, no. 1, September 2013, pp. 5-7.

Summary (adapted from the MAA Prizes and Awards booklet for MathFest 2014): In this article, we learn about Yitang “Tom” Zhang’s breakthrough in proving what the mathematical community long suspected—that even though prime numbers are less common as they get larger, for any positive integer $$N$$ there is a pair of primes bigger than $$N$$ within a certain fixed distance $$D$$ of each other.