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SMO 2009 Junior Round 2 Question 4

SMO · SMO 2009 Junior Round 2

Question 4

Let $S$ be the set of integers that can be written in the form $50m+3n$ where $m$ and $n$ are non-negative integers. For example, $3$, $50$ and $53$ are all in $S$. Find the sum of all positive integers not in $S$.