Difference between revisions of "Brocard's problem"

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[[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.

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