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arXiv · 2303.05395

An alternative proof of Sylvester's theorem and variations for more primes

Steven Brown
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Abstract

This document presents an alternative proof of Sylvester's theorem stating that "the product of $n$ consecutive numbers strictly greater than $n$ is divisible by a prime strictly greater than $n$". In addition, the paper proposes stronger versions of Sylvester's theorem and Bertrand's postulate with more primes, as well as an approach to get more results in this direction.

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Steven Brown. 2023-02-28. An alternative proof of Sylvester's theorem and variations for more primes. https://arxiv.org/abs/2303.05395

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