Article ID Journal Published Year Pages File Type
9505927 Advances in Applied Mathematics 2005 6 Pages PDF
Abstract
A famous unsolved conjecture of P. Erdős and J.L. Selfridge states that there does not exist a covering system {as(modns)}s=1k with the moduli n1,…,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,…,nk all square-free, then the least common multiple of n1,…,nk has at least 22 prime divisors.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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