Question 184
Let $a_1, a_2, \dots, a_n$ be $n$ positive integers that are not divisible one another, i.e. for any $i \neq j$, $a_i$ is not divisible by $a_j$. Show that
$$
a_1 + a_2 + \dots + a_n \geq 1.1n^2 - 2n.
$$
$$
a_1 + a_2 + \dots + a_n \geq 1.1n^2 - 2n.
$$