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Contests
National and Regional Contests
Moldova Contests
EGMO TST - Moldova
2018 Moldova EGMO TST
1
1
Part of
2018 Moldova EGMO TST
Problems
(1)
Easy number theory problem
Source: EGMO 2018 Moldova TST
2/11/2018
Find if there are solutions :
a
,
b
∈
N
a,b \in\mathbb{N}
a
,
b
∈
N
,
a
2
+
b
2
=
2018
a^2+b^2=2018
a
2
+
b
2
=
2018
,
7
∣
a
+
b
7|a+b
7∣
a
+
b
.
number theory