Problem Statement
Find some reasonable function $f(n)$ such that, for almost all integers $n$, the least integer $m$ such that $m\nmid \binom{2n}{n}$ satisfies\[m\sim f(n).\]
Categories:
Number Theory Binomial Coefficients
Progress
A problem of Erdős, Graham, Ruzsa, and Straus [EGRS75], who say it is 'not hard to show that', for almost all $n$, the minimal such $m$ satisfies\[m=\exp((\log n)^{1/2+o(1)}).\]Source: erdosproblems.com/731 | Last verified: January 16, 2026