Question 11
How many integers $n$ satisfy the following conditions?
i) $219 \leq n \leq 2019$,
ii) there exist $x, y \in \mathbb{Z}$ such that $1 \leq x \lt n \lt y$ and $y$ is divisible by all integers from $1$ to $n$, except two numbers $x$ and $x+1$.
i) $219 \leq n \leq 2019$,
ii) there exist $x, y \in \mathbb{Z}$ such that $1 \leq x \lt n \lt y$ and $y$ is divisible by all integers from $1$ to $n$, except two numbers $x$ and $x+1$.