2023 IOQM/Problem 4

Revision as of 12:47, 19 October 2023 by Sansgankrsngupta (talk | contribs) (Solution)

Problem

Let $x, y$ be positive integers such that \[x^{4}=(x-1)(y^{3}-23)-1\]

Find the maximum possible value of $x + y$.

Solution1(Diophantine)