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A Geometric Proof of Fermat’s Little Theorem

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Document pages: 4 pages

Abstract: We present an intuitively satisfying geometric proofof Fermat s result for positive integers that for primemoduli p, provided p does not divide a. This is known as Fermat’s Little Theorem. The proof is novel inusing the idea of colorings applied to regular polygons to establish anumber-theoretic result. A lemma traditionally, if ambiguously, attributed toBurnside provides a critical enumeration step.

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