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8
H 8
H 8
Source:
May 25, 2007
calculus
integration
Diophantine Equations
Problem Statement
Show that the equation
x
3
+
y
3
+
z
3
+
t
3
=
1999
x^{3}+y^{3}+z^{3}+t^{3}=1999
x
3
+
y
3
+
z
3
+
t
3
=
1999
has infinitely many integral solutions.
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