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2
2
Part of
2014 Turkey MO (2nd round)
Problems
(1)
Find all (x,y,z)
Source: Turkey NO-2014 Day 1 Problem 2
11/17/2014
Find all all positive integers x,y,and z satisfying the equation
x
3
=
3
y
7
z
+
8
x^3=3^y7^z+8
x
3
=
3
y
7
z
+
8
modular arithmetic
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number theory