Question 59
Let $m$, $n$, $k$ be pairwise relatively prime positive integers greater than $3$.
Find the minimal possible number of points on the plane with the following property: there are $x$ of them which are the vertices of a regular $x$-gon for $x = m$, $x = n$, $x = k$.
Find the minimal possible number of points on the plane with the following property: there are $x$ of them which are the vertices of a regular $x$-gon for $x = m$, $x = n$, $x = k$.