The Brocard-Ramanujan's Diophantine Equation $n!+1=m^2$

Abstract

In this paper we present a method to find the solutions to the Brocard-Ramanujan's problem $n!+1=m^2$.

arXiv commentThis paper is a new version of an old paper that was withdrawn by the author due to a logical fallacy detected by a reviewer.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