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1994 Tournament Of Towns
(413) 1
(413) 1
Part of
1994 Tournament Of Towns
Problems
(1)
TOT 413 1994 Spring A S1 x^2 + y^2 + z^2 = x^3 + y^3+z^3
Source:
6/12/2024
Does there exist an infinite set of triples of integers
x
,
y
,
z
x, y, z
x
,
y
,
z
(not necessarily positive) such that
x
2
+
y
2
+
z
2
=
x
3
+
y
3
+
z
3
?
x^2 + y^2 + z^2 = x^3 + y^3+z^3?
x
2
+
y
2
+
z
2
=
x
3
+
y
3
+
z
3
?
(NB Vassiliev)
number theory
diophantine
Diophantine equation