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1
initial version
answered
2 years ago
Max Alekseyev
6932
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The given equation can be rewritten as
3
(
2
y
+
1
)
(
2
z
+
1
)
=
(
2
x
+
1
)
(
2
w
+
1
)
,
which suggests that solutions can be generated by first fixing values of
y
,
z
and thus
n
:=
3
(
2
y
+
1
)
(
2
z
+
1
)
, then running
d
over the divisors of
n
, and setting
x
=
d
−
1
2
and
w
=
n
/
d
−
1
2
.
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