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arXiv · 1209.2373

A characterization of a prime $p$ from the binomial coefficient ${n \choose p}$

Alexandre Laugier·Manjil Saikia
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Abstract

We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an interesting characterization of a prime number $p$ with respect to the binomial coefficients ${n\choose p}$. We also derive a related result which generalizes the theorem in one direction.

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Alexandre Laugier, Manjil Saikia. 2012-09-07. A characterization of a prime $p$ from the binomial coefficient ${n \choose p}$. https://arxiv.org/abs/1209.2373

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