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In this paper, we study how small a box contains at least two points from amodular hyperbola $x y \equiv c \pmod p$. There are two such points in a squareof side length $p^{1/4 + \epsilon}$. Furthermore, it turns out that eitherthere are two such points in a square of side length $p^{1/6 + \epsilon}$ orthe least quadratic nonresidue is less than $p^{1/(6 \sqrt{e}) + \epsilon}$.

Shortest Distance in Modular Hyperbola and Least Quadratic Nonresidue