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Omni-MATH / Find all positive integers n having the following properties:in two-dimensional Cartesian coordinates, there exists a convex n lattice polygon whose lengths of all sides are odd nu…

Problem

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problem

Find all positive integers

n

having the following properties:in two-dimensional Cartesian coordinates, there exists a convex

n

lattice polygon whose lengths of all sides are odd numbers, and unequal to each other. (where lattice polygon is defined as polygon whose coordinates of all vertices are integers in Cartesian coordinates.)

Plain-text mathematical notation (without MathML)

Find all positive integers n having the following properties:in two-dimensional Cartesian coordinates, there exists a convex n lattice polygon whose lengths of all sides are odd numbers, and unequal to each other. (where lattice polygon is defined as polygon whose coordinates of all vertices are integers in Cartesian coordinates.)

Original LaTeX notation

Find all positive integers $ n$ having the following properties:in two-dimensional Cartesian coordinates, there exists a convex $ n$ lattice polygon whose lengths of all sides are odd numbers, and unequal to each other. (where lattice polygon is defined as polygon whose coordinates of all vertices are integers in Cartesian coordinates.)

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task_id: c0159041-2c3e-5937-8196-8a1e74ced2a6
task_key: test--c0159041-2c3e-5937-8196-8a1e74ced2a6
task_revision_id: 4
config / split: / test

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