Question 31
The terms $a_{1}, a_{2}, a_{3}, a_{4}, a_{5}$ of a geometric sequence are natural numbers smaller than $2008$. The number $a_{2}$ is divisible by $5$, $a_{3}$ is divisible by $4$, $a_{4}$ is divisible by $3$, and the number $a_{1}$ is not divisible by $6$. No prime divides all $5$ terms of the sequence. Compute the terms of this sequence.