Question 12
A sequence $\langle a_n \rangle$ of positive integers is given, such that $a_1 = 1$ and $a_{n+1}$ is the smallest positive integer such that
$$lcm(a_1, a_2, \dots, a_n, a_{n+1}) \gt lcm(a_1, a_2, \dots, a_n).$$
Which numbers are contained in the sequence?
$$lcm(a_1, a_2, \dots, a_n, a_{n+1}) \gt lcm(a_1, a_2, \dots, a_n).$$
Which numbers are contained in the sequence?