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71
H 71
H 71
Source:
May 25, 2007
modular arithmetic
Diophantine Equations
Problem Statement
Let
n
n
n
be a positive integer. Prove that the equation
x
+
y
+
1
x
+
1
y
=
3
n
x+y+\frac{1}{x}+\frac{1}{y}=3n
x
+
y
+
x
1
+
y
1
=
3
n
does not have solutions in positive rational numbers.
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