Difference between revisions of "2023 IOQM/Problem 4"

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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>
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<cmath>x^{4}=(x-1)(y^{3}-23)-1</cmath>
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Find the maximum possible value of <math>x + y</math>

Latest revision as of 00:30, 1 September 2024

Problem

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

Find the maximum possible value of $x + y$