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2016 JBMO Shortlist
3
Find all the pairs of integers $ (m, n)$
Find all the pairs of integers $ (m, n)$
Source: JBMO 2016 shortlist , A3
June 25, 2017
algebra
number theory
Problem Statement
Find all the pairs of integers
(
m
,
n
)
(m, n)
(
m
,
n
)
such that
n
+
2016
+
m
−
2016
∈
Q
.
\sqrt {n +\sqrt {2016}} +\sqrt {m-\sqrt {2016}} \in \mathbb {Q}.
n
+
2016
+
m
−
2016
∈
Q
.
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