Difference between revisions of "2023 IOQM/Problem 4"

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Find the maximum possible value of <math>x + y</math>.
 
Find the maximum possible value of <math>x + y</math>.
 
==Solution1(Diophantine)==
 
==Solution1(Diophantine)==
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<cmath>x^{4}=(x-1)(y^{3}-23)-1</cmath>

Revision as of 11:48, 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)

\[x^{4}=(x-1)(y^{3}-23)-1\]