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Omni-MATH / What is the maximum number of rational points that can lie on a circle in…

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problem

What is the maximum number of rational points that can lie on a circle in R2\mathbb{R}^2 whose center is not a rational point? (A \emph{rational point} is a point both of whose coordinates are rational numbers.)
Plain-text mathematical notation (without MathML)
What is the maximum number of rational points that can lie on a circle in R² whose center is not a rational point? (A \emph{rational point} is a point both of whose coordinates are rational numbers.)
Original LaTeX notation
What is the maximum number of rational points that can lie on a circle in $\mathbb{R}^2$ whose center is not a rational point? (A \emph{rational point} is a point both of whose coordinates are rational numbers.)

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