## Problem of the Day #388: Find the Biggest PrimeApril 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?