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Binomial coefficients are (almost) never powers

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Abstract

There is an epilogue to Bertrand’s postulate which leads to a beautiful result on binomial coefficients. In 1892 Sylvester strengthened Bertrand’s postulate in the following way:

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Aigner, M., Ziegler, G.M. (2018). Binomial coefficients are (almost) never powers. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-57265-8_3

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