Is there some absolute constant C>0 such that ∑_p≤ n1_p mid binom2nnfrac1p≤ C for all n (where the summation is restricted to primes p≤ n)?

Erdős Problem #377 — Is there some absolute constant $C>0$ such that $\sum_{p\leq n}1_{p mid \binom{2n}{n}}\frac{1}{p}\leq C$ for all $n$ (where the summation is restricted to primes $p\leq n$ )?

About 51 years old · traced to 1975

Is there some absolute constant $C>0$ such that $\sum_{p\leq n}1_{p mid \binom{2n}{n}}\frac{1}{p}\leq C$ for all $n$ (where the summation is restricted to primes $p\leq n$ )?

References

Primary source

ULAM AI, UnsolvedMath dataset, Erdős Problems set, revision b9437975f3c873f635a13c48f8b022f5ba80898a; CC BY 4.0.

Additional references

UnsolvedMath, Erdős Problems set, ULAM AI, licensed CC BY 4.0.

binomial-coefficients number-theory

InErdős Problems

Posted 1 month ago · edited 3 weeks ago

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