Let $n_k$ be the least integer greater than $2k$ for which $\prod_{i=1}^k (n_k - i)$ has no prime factor in $(k, 2k)$ . How rapidly must $n_k$ grow?

Declared status: open
Formalization: not formalized
Subjects: number theory
OEIS: A386620
Sources: source:erdos-ai-contributions-wikisource:erdos-problemssource:vibemathed
Statement: www.erdosproblems.com

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