Question 5
Let $n$ be a positive integer. Determine all positive integers $p$ for which there exist positive integers $x_1 \lt x_2 \lt \dots \lt x_n$ such that
$$
\frac{1}{x_1} + \frac{2}{x_2} + \dots + \frac{n}{x_n} = p.
$$
$$
\frac{1}{x_1} + \frac{2}{x_2} + \dots + \frac{n}{x_n} = p.
$$