Art of Problem Solving

2023 IOQM/Problem 4: Difference between revisions

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==Problem==
Let <math>x, y</math> be [[positive integers]] such that
Let <math>x, y</math> be [[positive integers]] such that
<cmath>x^{4} = (x 1)(y^{3} 23) 1.</cmath>
<cmath>x^{4}=(x-1)(y^{3}-23)-1</cmath>
 
Find the maximum possible value of <math>x + y</math>

Latest revision as of 23:30, 31 August 2024

Problem

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

Find the maximum possible value of $x + y$