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National and Regional Contests
PEN Problems
PEN H Problems
47
47
Part of
PEN H Problems
Problems
(1)
H 47
Source:
5/25/2007
Show that the equation
x
4
+
y
4
+
4
z
4
=
1
x^4 +y^4 +4z^4 =1
x
4
+
y
4
+
4
z
4
=
1
has infinitely many rational solutions.
Diophantine Equations