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2000 Switzerland Team Selection Test
7
14x^2 +15y^2 = 7^{2000}
14x^2 +15y^2 = 7^{2000}
Source: Switzerland - Swiss TST 2000 p7
February 19, 2020
Diophantine equation
diophantine
number theory
Problem Statement
Show that the equation
14
x
2
+
15
y
2
=
7
2000
14x^2 +15y^2 = 7^{2000}
14
x
2
+
15
y
2
=
7
2000
has no integer solutions.
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