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arXiv · 2511.04585

Smooth sums with small spacings

Wouter van Doorn·Anneroos R. F. Everts
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Abstract

Solving a problem by Erd\H{o}s, we prove that every positive integer $n$ can be written as a sum $$n = b_{1} + b_{2} + \ldots + b_{r}$$ of distinct $3$-smooth integers with $1 \le b_{1} < b_{2} < \ldots < b_{r} < 6b_{1}$.

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Wouter van Doorn, Anneroos R. F. Everts. 2025-11-06. Smooth sums with small spacings. https://arxiv.org/abs/2511.04585

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