Permanent problem IDPPL 075
Number theory
Let f(n) be minimal such that in (n,n+f(n)) there exist distinct integers a_1,…,a_n such that k∣ a_k for all 1≤ k≤ n. Obtain an asymptotic formula for f(n).
Let f(n) be minimal such that in (n,n+f(n)) there exist distinct integers a_1,…,a_n such that k∣ a_k for all 1≤ k≤ n. Obtain an asymptotic formula for f(n).
A solution must appear in a reputable journal, with documentation that Erdős offered the displayed amount. Claims are administered by the Combinatorics Foundation; erdosproblems.com does not pay awards.