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2016 Macedonia JBMO TST
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2016 Macedonia JBMO TST
Problems
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2016 JBMO TST- Macedonia, problem 1
Source: 2016 JBMO TST- Macedonia
5/27/2019
Solve the following equation in the set of integers
x
1
4
+
x
2
4
+
.
.
.
+
x
14
4
=
201
6
3
−
1
x_{1}^4 + x_{2}^4 +...+ x_{14}^4=2016^3 - 1
x
1
4
+
x
2
4
+
...
+
x
14
4
=
201
6
3
−
1
.
JMMO
Junior
Macedonia
2016
number theory