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PEN H Problems
17
17
Part of
PEN H Problems
Problems
(1)
H 17
Source:
5/25/2007
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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