MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
EGMO TST - Moldova
2018 Moldova EGMO TST
1
Easy number theory problem
Easy number theory problem
Source: EGMO 2018 Moldova TST
February 11, 2018
number theory
Problem Statement
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
.
Back to Problems
View on AoPS