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2023 USAJMO Problems/Problem 1

Revision as of 12:39, 24 March 2023 by Danielzh (talk | contribs)

Find all triples of positive integers $(x,y,z)$ that satisfy the equation

\begin{align*} 2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023 \end{align*}

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