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Nordic
2014 Nordic
3
Diophantine
Diophantine
Source: Nordic Mathematical Contest 2014 Problem 3
February 16, 2017
algebra
number theory
Problem Statement
Find all nonnegative integers
a
,
b
,
c
a, b, c
a
,
b
,
c
such that
a
+
b
+
c
=
2014
.
\sqrt{a} + \sqrt{b} + \sqrt{c} = \sqrt{2014}.
a
+
b
+
c
=
2014
.
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