Odd Number Theorem

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The sum of the first odd numbers is a square number,

A sort of converse also exists, namely the difference of the th and st square numbers is the th odd number, which follows from

See also

Gnomonic Number, Nicomachus's Theorem, Odd Number, Sum

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Cite this as:

Weisstein, Eric W. "Odd Number Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/OddNumberTheorem.html

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