Question 171
Find the largest prime number $p$ such that there exist strictly positive integers $a$ and $b$ with
$$
p=\frac{b}{2} \sqrt{\frac{a-b}{a+b}} .
$$
$$
p=\frac{b}{2} \sqrt{\frac{a-b}{a+b}} .
$$
MathNet 2019-part-06 — 184 problems (EN–VI) Question 171
Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)