Question 131
The positive integer $m$ has a prime divisor greater than $\sqrt{2m} + 1$. Find the least positive integer $M$ such that there exists a set $T$ consisting of a finite number of distinct positive integers satisfying simultaneously the following conditions:
i) $m$ and $M$ are respectively the least and the greatest number in $T$;
ii) the product of all numbers belonging to $T$ is a perfect square.
i) $m$ and $M$ are respectively the least and the greatest number in $T$;
ii) the product of all numbers belonging to $T$ is a perfect square.