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Vela Mathematics Program
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320
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Problem
erdos:320
Let
S
(
N
)
S(N)
count the distinct values of
∑
n
∈
A
1
/
n
\sum_{n\in A} 1/n
over
A
⊆
{
1
,
…
,
N
}
A\subseteq\{1,\dots,N\}
. Estimate
S
(
N
)
S(N)
.
Open Current State
Declared status
solved
Formalization
not formalized
Subjects
number theory
·
unit fractions
OEIS
A072207
Sources
source:erdos-problems
·
source:vibemathed
Statement
www.erdosproblems.com
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