2016 Latvia National Olympiad 3rd Round Grade10Problem4
Source:
July 22, 2016
number theoryprime numbers
Problem Statement
In a Pythagorean triangle all sides are longer than 5. Is it possible that (a) all three sides are prime numbers, (b) exactly two sides are prime numbers. (Note: We call a triangle "Pythagorean", if it is a right-angled triangle where all sides are positive integers.)