Smallest number $m$ with $gnu(m)=2017\ $?

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$gnu(n)$ denotes the number of groups of order $n$ upto isomorphy.

$moa(n)$ denotes the smallest number $m$ with $gnu(m)=n$

$$m=259,083,319,343,897,905=5\cdot 2011\cdot 24133\cdot 1067692187$$

satisfies $gnu(m)=2017$, so $moa(2017)$ exists, but this number $m$ should be far away from $moa(2017)$.

The numbers $m\le 2,047$ and the cubefree numbers $m\le 50,000$ do not satisfy $gnu(m)=2017$.

Who knows a better upper bound for $moa(2017)\ $?

A sensible upper bound would, for example, be the smallest cubefree number $m$ with $gnu(m)=2017$.