Covering System

In mathematics, a covering system (also called a complete residue system) is a collection

of finitely many residue classes whose union covers all the integers.

List of unsolved problems in mathematics

For any arbitrarily large natural number N does there exist an incongruent covering system the minimum of whose moduli is at least N?

Read more about Covering System:  Examples and Definitions, Mirsky–Newman Theorem, Primefree Sequences, Some Unsolved Problems

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