Smooth sums with small spacings

2025/11/06 by van Doorn, Wouter, Everts, Anneroos R. F.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2511.04585

Abstract

Solving a problem by Erdős, we prove that every positive integer n can be written as a sum n = b₁ + b₂ + … + b_r of distinct 3-smooth integers with 1 ≤ b₁ < b₂ < … < b_r < 6b₁.

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