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

Revision as of 01:23, 12 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 $x + y$.

Solution