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Omni-MATH / Descartes's Blackjack: How many integer lattice points (points of the form (m,n) for integers m and n) lie inside or on the boundary of the disk of radius 2009 centered at the orig…

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problem

Descartes's Blackjack: How many integer lattice points (points of the form (m,n)(m, n) for integers mm and nn) lie inside or on the boundary of the disk of radius 2009 centered at the origin?
Plain-text mathematical notation (without MathML)
Descartes's Blackjack: How many integer lattice points (points of the form (m,n) for integers m and n) lie inside or on the boundary of the disk of radius 2009 centered at the origin?
Original LaTeX notation
Descartes's Blackjack: How many integer lattice points (points of the form $(m, n)$ for integers $m$ and $n$) lie inside or on the boundary of the disk of radius 2009 centered at the origin?

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