Article ID Journal Published Year Pages File Type
4595517 Journal of Number Theory 2006 9 Pages PDF
Abstract

A number n is said to be ordinary if the smallest number with exactly n divisors is where q1⋯qa is the prime factorization of n and q1⩾⋯⩾qa (and where pk denotes the kth prime). We show here that all square-free numbers are ordinary and that the set of ordinary numbers has natural density one.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory