# When \(\frac{n}{d(n)}\) is a prime ?

**Number Theory**Level 5

Let \(d(n)\) be the number of positive divisors of a natural number \(n\).

Find the number of natural numbers \(n\) such that \(\frac{n}{d(n)}=p\) where \(p\) is a prime and \(n≤2250\).

Let \(d(n)\) be the number of positive divisors of a natural number \(n\).

Find the number of natural numbers \(n\) such that \(\frac{n}{d(n)}=p\) where \(p\) is a prime and \(n≤2250\).

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