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Contests
National and Regional Contests
Greece Contests
Greece National Olympiad
1997 Greece National Olympiad
3
3
Part of
1997 Greece National Olympiad
Problems
(1)
A diophantine equation
Source: Greek national M.O. 1997, Final Round, problem 3
11/20/2011
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
.
number theory unsolved
number theory