Number theory · Divisors · Integer valued fractions · Factorisation · Diophantine equations
Find every integer \(n\) that can be written in the form
\[ n = \frac{m+2021}{2021-m}, \]
where \(m\) is an integer.
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), odbirno (qualifying) round 2021, 1. letnik, category A, problem 2. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source