# Why?

**Number Theory**Level 5

Find the sum of positive integers \(k\ge 2\) such that:

If \(m,n\) are positive integers and \(km+n\) is divisible by \(m+kn\) then \(m\) is divisible by \(n\).

Find the sum of positive integers \(k\ge 2\) such that:

If \(m,n\) are positive integers and \(km+n\) is divisible by \(m+kn\) then \(m\) is divisible by \(n\).

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