Problem Statement
Is it true that, for any $n$, if $d_1<\cdots <d_t$ are the divisors of $n$, then\[\sum_{1\leq i<j\leq t}\frac{1}{d_j-d_i} \ll 1+\sum_{1\leq i<t}\frac{1}{d_{i+1}-d_i},\]where the implied constant is absolute?
Categories:
Number Theory Divisors
Progress
See also [144].Source: erdosproblems.com/884 | Last verified: January 19, 2026