Number theory · Difference of squares · Powers · Parity · Last digits · Minimisation
Determine the smallest possible value of
\[ \left|25^{m} - 36^{n}\right| \]
where \(m\) and \(n\) are positive integers.
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2023, 1. letnik, category A, problem B1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source