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19
H 19
H 19
Source:
May 25, 2007
Diophantine Equations
Problem Statement
Find all
(
x
,
y
,
z
,
n
)
ā
N
4
(x, y, z, n) \in {\mathbb{N}}^4
(
x
,
y
,
z
,
n
)
ā
N
4
such that
x
3
+
y
3
+
z
3
=
n
x
2
y
2
z
2
x^3 +y^3 +z^3 =nx^2 y^2 z^2
x
3
+
y
3
+
z
3
=
n
x
2
y
2
z
2
.
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