MathDB
No perfect square

Source:

February 20, 2016
number theory

Problem Statement

Set AA consists of natural numbers such that these numbers can be expressed as 2x2+3y2,2x^2+3y^2, where xx and yy are integers. (x2+y2≠0)(x^2+y^2\not=0) a)a) Prove that there is no perfect square in the set A.A. b)b) Prove that multiple of odd number of elements of the set AA cannot be a perfect square.
Back to ProblemsView on AoPS