MathDB
Japan TST 2019

Source:

January 6, 2020
JapanalgebraTST

Problem Statement

Given that x,yx,y are real numbers such that x3+y,x2+y2,x+y3 x^3 + y, x^2 + y^2, x + y^3 are all integers. Prove that x,yx,y are integers as well.
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