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Number Theory

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Putnam and Beyond
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Abstract

The chapter on number theory is divided into three subchapters: one with general facts integer valued sequences, one on arithmetic, which includes Fermat’s little theorem with its generalization due to Euler, Wilson’s theorem, the Chinese remainder theorem, and an incursion in algebraic number theory, and one on Diophantine equations such as the Pythagorean equation, and Pell’s equation.

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Notes

  1. 1.

    Seien Sie niemals absolut langweilig.

  2. 2.

    The statement was improved by R. Stong and E. Johnston to prevent a simpler solution.

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Correspondence to Răzvan Gelca .

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Gelca, R., Andreescu, T. (2017). Number Theory. In: Putnam and Beyond. Springer, Cham. https://doi.org/10.1007/978-3-319-58988-6_5

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