Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9505927 | Advances in Applied Mathematics | 2005 | 6 Pages |
Abstract
A famous unsolved conjecture of P. ErdÅs and J.L. Selfridge states that there does not exist a covering system {as(modns)}s=1k with the moduli n1,â¦,nk odd, distinct and greater than one. In this paper we show that if such a covering system {as(modns)}s=1k exists with n1,â¦,nk all square-free, then the least common multiple of n1,â¦,nk has at least 22 prime divisors.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Song Guo, Zhi-Wei Sun,