Day 13: A Prime Time for a Number Theory Problem
Number Theory
Level
3
Given that \(p\) and \(q\) are prime numbers that satisfy \[(p-q)(p+q)(2p+q)=208\] Find all possible solutions, if any, and give your answer as the sum of \(p\times q\) of each pair.
This problem is part of the Advent Calendar 2015.
by
Michael Ng