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17
H 17
H 17
Source:
May 25, 2007
Diophantine Equations
Vieta Jumping
Problem Statement
Find all positive integers
n
n
n
for which the equation
a
+
b
+
c
+
d
=
n
a
b
c
d
a+b+c+d=n \sqrt{abcd}
a
+
b
+
c
+
d
=
n
ab
c
d
has a solution in positive integers.
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