Difference between revisions of "Brocard's problem"

(Created page with "==Problem Statement== Given <math>n!+1=m^2</math> which pairs <math>(n,m)</math> are the solutions to the given equation. ==Known Solutions== <cmath>(n,m)=...")
 
m
Line 10: Line 10:
  
 
{{stub}}
 
{{stub}}
 +
 +
[[Category:Number Theory]]

Revision as of 15:43, 2 March 2020

Problem Statement

Given $n!+1=m^2$ which pairs $(n,m)$ are the solutions to the given equation.

Known Solutions

\[(n,m)=(4,5),(5,11),(7,71)\]

Are the known solutions, and it was a conjecture of Paul Erdös, that these are the only solutions.

This article is a stub. Help us out by expanding it.

Invalid username
Login to AoPS