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2023 IOQM/Problem 4

Revision as of 11:48, 19 October 2023 by Sansgankrsngupta (talk | contribs) (→‎Solution1(Diophantine))

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)

$x^{4}=(x-1)(y^{3}-23)-1$

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