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Switzerland Contests
Switzerland Team Selection Test
2000 Switzerland Team Selection Test
7
7
Part of
2000 Switzerland Team Selection Test
Problems
(1)
14x^2 +15y^2 = 7^{2000}
Source: Switzerland - Swiss TST 2000 p7
2/19/2020
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.
Diophantine equation
diophantine
number theory