Find all positive integers $m$ and $n$ such that $\frac{m^3}{m+n}$ and $\frac{n^3}{m+n}$ are both prime numbers.
Find all positive integers $m$ and $n$ such that $\frac{m^3}{m+n}$ and $\frac{n^3}{m+n}$ are both prime numbers.
Find all positive integers $m$ and $n$ such that $\dfrac{m^3}{m+n}$ and $\dfrac{n^3}{m+n}$ are both prime numbers.
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