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77
x^3+y^3+z^3 = x+y+z = 8 in integers
x^3+y^3+z^3 = x+y+z = 8 in integers
Source:
August 27, 2010
number theory proposed
number theory
Problem Statement
Find all integers
x
,
y
,
z
x,y,z
x
,
y
,
z
such that
x
3
+
y
3
+
z
3
=
x
+
y
+
z
=
8
x^3+y^3+z^3=x+y+z=8
x
3
+
y
3
+
z
3
=
x
+
y
+
z
=
8
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