operation on triplet
Source: Polish MO 2006
April 8, 2006
modular arithmeticcombinatorics proposedcombinatorics
Problem Statement
Given a triplet we perform on it the following operation. We choose two numbers among them and change them into their sum and product, left number stays unchanged. Can we, starting from triplet and performing above operation, obtain again a triplet of numbers which are lengths of right triangle?