Tuesday 24 September 2019

Prime number equation

The number of solutions of the equation $xy(x+y)=2010$ where $x$ and $y$ denote positive prime numbers, is ____




I tried various things but nothing seems to work out. $2010$ can be resolved into $67\times30$ but $30$ is not a prime number. Moreover, they do not come under the format $xy(x+y)$. Please help me.

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