# When is the binomial co-efficient divisible ?

Number Theory Level 5

Determine the number of integers $$m$$ such that $$2≤m≤946$$ and every integer $$n$$ with $$\frac{m}{3}≤n≤\frac{m}{2}$$ divides the binomial co-efficient $$\binom{n}{m-2n}$$.

This is a IMO problem.

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