$\large a^2b^3c^4$

Positive real numbers $a$, $b$ and $c$ are such that $a+b+c=18$. If the maximum value of expression above can be written as $p_1^\alpha \cdot p_2^\beta$, where $p_1$ and $p_2$ are prime numbers and $\alpha$, $\beta$ are positive integers, find $p_1+p_2+\alpha+\beta$.

×

Problem Loading...

Note Loading...

Set Loading...