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P1
Diophantine equation
Diophantine equation
Source:
March 26, 2015
number theory
Diophantine equation
Problem Statement
Find all
x
,
y
,
z
∈
Z
+
x, y, z\in\mathbb{Z}^+
x
,
y
,
z
∈
Z
+
such that
(
x
−
y
)
(
y
−
z
)
(
z
−
x
)
=
x
+
y
+
z
(x-y)(y-z)(z-x)=x+y+z
(
x
−
y
)
(
y
−
z
)
(
z
−
x
)
=
x
+
y
+
z
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