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A set $A\subset \mathbb{N}$ is primitive if no member of $A$ divides another. Is the sum \[\sum_{n\in A}\frac{1}{n\log n}\] maximised over all primitive sets when $A$ is the set of primes?
#164
:
[Er86]
number theory
,
primitive sets
Erdős
[Er35]
proved that this sum always converges for a primitive set. Lichtman
[Li23]
proved that the answer is yes.
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