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China Team Selection Test
1987 China Team Selection Test
2
x^3+y^3+z^3=nx^2y^2z^2
x^3+y^3+z^3=nx^2y^2z^2
Source: China TST 1987, problem 5
May 16, 2005
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number theory unsolved
number theory
Problem Statement
Find all positive integer
n
n
n
such that the equation
x
3
+
y
3
+
z
3
=
n
⋅
x
2
⋅
y
2
⋅
z
2
x^3+y^3+z^3=n \cdot x^2 \cdot y^2 \cdot z^2
x
3
+
y
3
+
z
3
=
n
⋅
x
2
⋅
y
2
⋅
z
2
has positive integer solutions.
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