MathDB
Problems
Contests
International Contests
Cono Sur Olympiad
2011 Cono Sur Olympiad
1
1
Part of
2011 Cono Sur Olympiad
Problems
(1)
Cono Sur Olympiad 2011, Problem 1
Source:
8/23/2014
Find all triplets of positive integers
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
such that
x
2
+
y
2
+
z
2
=
2011
x^{2}+y^{2}+z^{2}=2011
x
2
+
y
2
+
z
2
=
2011
.
number theory proposed
number theory