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1997 Greece National Olympiad
3
A diophantine equation
A diophantine equation
Source: Greek national M.O. 1997, Final Round, problem 3
November 20, 2011
number theory unsolved
number theory
Problem Statement
Find all integer solutions to
13
x
2
+
1996
y
2
=
z
1997
.
\frac{13}{x^2}+\frac{1996}{y^2}=\frac{z}{1997}.
x
2
13
+
y
2
1996
=
1997
z
.
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