Newman-Znám theorem

Statement

Štefan Znám in 1968 and subsequently Morris Newman in 1971 proved a general form of Mirsky–Newman theorem, namely given a disjoint covering system, suppose the maximum of the moduli $n$ occurs $l$ times, then $l \geq p$, the smallest prime dividing $n$. In 1986, an non-analytic proof of this general result was given.