## Problem of the Day #388: Find the Biggest Prime
*April 10, 2012*

*Posted by Saketh in : potd , trackback*

For certain values of $a$ and $b$, the expression

$$\frac{b}{4}\sqrt{\frac{2a-b}{2a+b}}$$

produces an integer. If we consider the set of all such integers, what is the largest prime member?

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