The Only Solution to Erdős–Moser conjecture

We prove that the Diophantine equation has a unique solution in positive integers, namely (m,k)=(3,1). This settles the classical Erdős–Moser conjecture via a monotonicity argument and elementary analysis.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.28899983.v2
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

The Only Solution to Erdős–Moser conjecture

Figshare
Algebraic Geometry and Number Theory
article

The Only Solution to Erdős–Moser conjecture

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Abstract

We prove that the Diophantine equation has a unique solution in positive integers, namely (m,k)=(3,1). This settles the classical Erdős–Moser conjecture via a monotonicity argument and elementary analysis.

Figshare
Openalex Percentile: Top 46%
Algebraic Geometry and Number Theory
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