Question 15
We say that a positive integer $N$ is *rioplatense* if it satisfies the following two conditions:
* It is possible to find 34 consecutive integers such that their product is divisible by $N$ but none of them is divisible by $N$.
* It is *not* possible to find 30 consecutive integers such that their product is divisible by $N$ but none of them is divisible by $N$.
Find all rioplatense integers.
* It is possible to find 34 consecutive integers such that their product is divisible by $N$ but none of them is divisible by $N$.
* It is *not* possible to find 30 consecutive integers such that their product is divisible by $N$ but none of them is divisible by $N$.
Find all rioplatense integers.