3

Part of 1987 IMO Shortlist

Problems(1)

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

Source:

Does there exist a second-degree polynomial

p(x, y)

in two variables such that every non-negative integer

n

p(k,m)

for one and only one ordered pair

(k,m)

of non-negative integers?
Proposed by Finland.

algebrapolynomialbijectionbijective functionIMO Shortlist