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NZMOC Camp Selection Problems
2016 NZMOC Camp Selection Problems
7
7
Part of
2016 NZMOC Camp Selection Problems
Problems
(1)
diophantine (x^2 + y^2)^n = (xy)^{2016} with no solutions
Source: New Zealand NZMOC Camp Selection Problems 2016 p7
9/19/2021
Find all positive integers
n
n
n
for which the equation
(
x
2
+
y
2
)
n
=
(
x
y
)
2016
(x^2 + y^2)^n = (xy)^{2016}
(
x
2
+
y
2
)
n
=
(
x
y
)
2016
has positive integer solutions.
diophantine
Diophantine equation
number theory