MathDB

2003 National Spain Olympiad, Problem 2

Source: 2003 National Spain Olympiad

June 1, 2017

sets of integersnumber theory

Problem Statement

Does there exist such a finite set of real numbers

{M}

that has at least two distinct elements and has the property that for two numbers,

{a}

{b}

, belonging to

{M}

, the number

{2a - b^2}

is also an element in

{M}