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Canada National Olympiad
1991 Canada National Olympiad
1
1
Part of
1991 Canada National Olympiad
Problems
(1)
Diophantine equation
Source: 1991 Canadian MO #1
9/23/2011
Show that the equation
x
2
+
y
5
=
z
3
x^2+y^5=z^3
x
2
+
y
5
=
z
3
has infinitely many solutions in integers
x
,
y
,
z
x, y,z
x
,
y
,
z
for which
x
y
z
≠
0
xyz \neq 0
x
yz
=
0
.
number theory unsolved
number theory