Erdős problem 451 · problems.science

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?

Sources

Browse retained paths and inspect the exact material available for this Problem.

1 retained statement2415f78e850a

Retained excerpts/

VibeMathed

Retained source excerpt1 of 1

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?