Day 13: A Prime Time for a Number Theory Problem

Number Theory Level 3

Given that pp and qq are prime numbers that satisfy (p−q)(p+q)(2p+q)=208(p-q)(p+q)(2p+q)=208 Find all possible solutions, if any, and give your answer as the sum of p×qp\times q of each pair.

This problem is part of the Advent Calendar 2015.
Michael Ng by Michael Ng
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