Question 108
For a fixed integer $n \ge 2$ consider the sequence
$$
a_k = \text{lcm}(k, k+1, \dots, k+(n-1)).
$$
Find all integers $n \ge 2$ for which the sequence $a_k$ is increasing starting from some index.
$$
a_k = \text{lcm}(k, k+1, \dots, k+(n-1)).
$$
Find all integers $n \ge 2$ for which the sequence $a_k$ is increasing starting from some index.