Solution of the minimum modulus problem for covering systems

By Bob Hough. 2013

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We answer a question of Erd\H{o}s by showing that the least modulus of a distinct covering system of congruences is no larger than $10^{18}$.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4266c88b7c3b1f10c77fc4da24230fcc8280188c