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The Erdős–Straus Conjecture: Modulo 24 Obstructions and the Constant Residual Constraint

03 August 2026, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

By decomposing the Erdős--Straus equation into four simultaneous algebraic--analytic systems, we obtain an absolute residual constant that strictly bounds all admissible solutions. This constraint resolves the intrinsic modulo 24 obstruction and reduces the Diophantine problem to a finite, computable domain.

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Version History

Aug 03, 2026 Version 1

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2026-fn1v1
D O I: 10.33774/coe-2026-fn1v1 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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