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National and Regional Contests
Iran Contests
Iran MO (3rd Round)
2003 Iran MO (3rd Round)
9
seems easy
seems easy
Source: iran 2003
June 22, 2004
number theory unsolved
number theory
Problem Statement
Does there exist an infinite set
S
S
S
such that for every
a
,
b
ā
S
a, b \in S
a
,
b
ā
S
we have a^2 \plus{} b^2 \minus{} ab \mid (ab)^2.
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