MathDB
Existence of a polynomial - (IMO SL 1987-P3)

Source:

August 19, 2010
algebrapolynomialbijectionbijective functionIMO Shortlist

Problem Statement

Does there exist a second-degree polynomial p(x,y)p(x, y) in two variables such that every non-negative integer n n equals p(k,m)p(k,m) for one and only one ordered pair (k,m)(k,m) of non-negative integers?
Proposed by Finland.
Back to ProblemsView on AoPS