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Is there a function $f$ with $f(n)\to \infty$ as $n\to \infty$ such that, for all large $n$, there is a composite number $m$ such that \[n+f(n)<m<n+p(m)?\] (Here $p(m)$ is the least prime factor of $m$.)
#463
:
[ErGr80]
number theory
,
primes
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