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Baltic Way
2012 Baltic Way
18
20122012 as Sum of Squares
20122012 as Sum of Squares
Source: 2012 Baltic Way, Problem 18
November 22, 2012
quadratics
number theory unsolved
number theory
Problem Statement
Find all triples
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
of integers satisfying
a
2
+
b
2
+
c
2
=
20122012
a^2 + b^2 + c^2 = 20122012
a
2
+
b
2
+
c
2
=
20122012
.
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