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Nigeria Contests
2024 Nigerian MO Round 3
Problem 2
x^3+y^2|x^2+y^3
x^3+y^2|x^2+y^3
Source: 2024 Nigerian MO Senior Round 3 P2
April 28, 2024
number theory
Problem Statement
Prove that there exist infinitely many distinct positive integers,
x
x
x
and
y
y
y
, such that
x
3
+
y
2
∣
x
2
+
y
3
x^3+y^2|x^2+y^3
x
3
+
y
2
∣
x
2
+
y
3
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