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Erdős problem 684

For the least kk at which the small-prime part of (nk)\binom{n}{k} exceeds n2n^2, how large can f(n)f(n) be?

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For the least $k$ at which the small-prime part of $\binom{n}{k}$ exceeds $n^2$, how large can $f(n)$ be?

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