Difference between revisions of "2023 IOQM/Problem 4"

(Solution)
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Find the maximum possible value of <math>x + y</math>.
 
Find the maximum possible value of <math>x + y</math>.
==Solution==
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==Solution1(Diophantine)==

Revision as of 12:47, 19 October 2023

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)