The Brocard-Ramanujan's Diophantine Equation n!+1=m²

2015/04/25 by Sergio Ibáñez Cerda, S. Cerdá, Cerdá, S.
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1504.06694

This paper is a new version of an old paper that was withdrawn by the author due to a logical fallacy detected by a reviewer. Now, this problem was solved using modular congruence techniques. There is a mistake at the solution

openalex publication_date 2015/04/25 · arxiv created 2016/03/02 · arxiv updated 2016/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present a method to find the solutions to the Brocard-Ramanujan's problem n! + 1 = m².

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