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International Contests
Tournament Of Towns
1997 Tournament Of Towns
(548) 2
(548) 2
Part of
1997 Tournament Of Towns
Problems
(1)
TOT 547 1997 Autumn J O2 x^2 + y^2 - z^2 = 1997 NT
Source:
9/11/2024
Prove that the equation
x
2
+
y
2
ā
z
2
=
1997
x^2 + y^2 - z^2 = 1997
x
2
+
y
2
ā
z
2
=
1997
has infinitely many solutions in integers
x
x
x
,
y
y
y
and
z
z
z
.(N Vassiliev)
number theory
Diophantine equation
diophantine