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National and Regional Contests
Vietnam Contests
Vietnam National Olympiad
1985 Vietnam National Olympiad
1
Find all pairs of integers
Find all pairs of integers
Source: Vietnam NMO 1985 Problem 1
February 12, 2009
number theory unsolved
number theory
Problem Statement
Find all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of integers such that x^3 \minus{} y^3 \equal{} 2xy \plus{} 8.
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