# Number Theory #7

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, $$3$$, $$50$$, $$53$$ are all in $$S$$. Find the sum of all positive integers not in $$S$$.

(Adapted from a past year Singapore Mathematical Olympiad question)

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