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National and Regional Contests
Nigeria Contests
2024 Nigerian MO Round 3
Problem 2
Problem 2
Part of
2024 Nigerian MO Round 3
Problems
(1)
x^3+y^2|x^2+y^3
Source: 2024 Nigerian MO Senior Round 3 P2
4/28/2024
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
number theory