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The College Mathematics Journal Volume 44, 2013 - Issue 4

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Original Articles

Proof Without Words: Squares Modulo 3

Roger B. NelsenLewis & Clark College, [email protected]

Page 283 | Published online: 28 Nov 2017

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https://doi.org/10.4169/college.math.j.44.4.283

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Summary

Using the fact that the sum of the first n odd numbers is n², we show visually that n² ≣ 0 (mod 3) when n ≣ 0 (mod 3), and n² ≣ 1 (mod 3) when n ≣ ±1 (mod 3).

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