Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595517 | Journal of Number Theory | 2006 | 9 Pages |
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