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1999 Bulgaria National Olympiad
3
Infinitely many soln.
Infinitely many soln.
Source:
April 12, 2012
number theory unsolved
number theory
Problem Statement
Prove that
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 soln. over
Z
\mathbb{Z}
Z
.
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