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Source:
October 4, 2019
number theory
Problem Statement
What is the smallest number
n
n
n
such that you can choose
n
n
n
distinct odd integers
a
1
,
a
2
,
.
.
.
,
a
n
a_1, a_2,..., a_n
a
1
,
a
2
,
...
,
a
n
, none of them
1
1
1
, with
1
a
1
+
1
a
2
+
.
.
.
+
1
a
n
=
1
\frac{1}{a_1}+ \frac{1}{a_2}+ ...+ \frac{1}{a_n}= 1
a
1
1
+
a
2
1
+
...
+
a
n
1
=
1
?
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