Number theory · Diophantine equations · Powers of two · Divisibility · Last digit
Determine all natural numbers \(k\), \(m\) and \(n\) for which
\[ 2^k + 10^m - 10^n = 2014 . \]
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Serbian Regional Competition 2014, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source