Erdős Problem #384 — A small prime divisor of every nontrivial binomial coefficient

About 46 years old · traced to

If 1<k<n−11<k<n-1, must (nk)\binom{n}{k} have a prime divisor smaller than n/2n/2, with the sole exception (73)=5⋅7\binom{7}{3}=5·7?

References

Additional references

P. Erdős and R. L. Graham, Old and new problems and results in combinatorial number theory, Monographies de L'Enseignement Mathématique 28 (1980).

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