MathDB

x^2+3y, y^2+3x perfect squares (II Soros Olympiad 1995-96 R1 10.5)

Source:

June 3, 2024

number theoryPerfect SquaresPerfect Square

Problem Statement

Find all pairs of natural numbers

x

and

y

for which

x^2+3y

and

y^2+3x

are simultaneously squares of natural numbers.