Number theory · Gcd and lcm · Coprime factorisation · Divisibility · Diophantine equations
Find all pairs of natural numbers \(a\) and \(b\) for which
\[ v = ab - 2a - 4b , \]
where \(v\) denotes the least common multiple of \(a\) and \(b\).
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2022, 1. letnik, category A, problem B1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source