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arXiv · 2001.08634

When the Nontrivial, Small Divisors of a Natural Number are in Arithmetic Progression

Hung Viet Chu
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Abstract

Iannucci considered the positive divisors of a natural number $n$ that do not exceed $\sqrt{n}$ and found all forms of numbers whose such divisors are in arithmetic progression. In this paper, we generalize Iannucci's result by excluding the trivial divisors $1$ and $\sqrt{n}$ (when $n$ is a square). Surprisingly, the length of our arithmetic progression cannot exceed $5$.

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Hung Viet Chu. 2020-01-20. When the Nontrivial, Small Divisors of a Natural Number are in Arithmetic Progression. https://arxiv.org/abs/2001.08634

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