# I Did See You Before!

Consider the following arithmetic sequence $$\{a_n\}_{n=1}^\infty$$ of positive integers:

$10000, 10103, 10206, \cdots{ } \cdots{ } \cdots{ }$

Find the smallest positive integer $$m$$, for which there exists at least one positive integer $$n$$ (with $$n<m$$) such that $a_m \equiv a_n (\mod{ }2017).$.

Note:

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