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Another inequality inspired by Erdős

2025/03/05 by Barbora Batíková, Tomáš J. Kepka, Batíková, Barbora +5
Computer Science · Mathematics · #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Arithmetic function #Calculus (dental) #Elementary proof #Inequality #Linear inequality #Polynomial and algebraic computation #math.NT

paper · pdf · doi:10.48550/arxiv.2503.03795

openalex publication_date 2025/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In our effort to find an arithmetically pure proof of the Bertrand postulate, we investigate and solve (using only elementary arithmetical methods) another less usual inequality in positive integers inspired by the classical proof of the postulate given by P. Erdős.

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