Erdős Problem #1095 — Let g(k)>k+1g(k)>k+1 be the smallest nn such that all prime factors of (nk)\binom{n}{k} are >k>k.

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Let g(k)>k+1g(k)>k+1 be the smallest nn such that all prime factors of (nk)\binom{n}{k} are >k>k. Estimate g(k)g(k).

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