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n/d(n)=p

Source: Argentina TST IMO 2008 Problem 4

July 22, 2008
inequalitiesnumber theory proposednumber theory

Problem Statement

Let d(n) d(n) be the number of positive divisors of the natural number n n. Find all n n such that \frac {n} {d(n)}\equal{}p where p p is a prime number Daniel
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