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Vietnam Contests
Vietnam National Olympiad
1982 Vietnam National Olympiad
1
number theory equation
number theory equation
Source: concurs 2003
July 10, 2005
number theory proposed
number theory
Problem Statement
Find all positive integers
x
,
y
,
z
x, y, z
x
,
y
,
z
such that
2
x
+
2
y
+
2
z
=
2336
2^x + 2^y + 2^z = 2336
2
x
+
2
y
+
2
z
=
2336
.
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