An upper bound for the minimum modulus in a covering system with squarefree moduli
Abstract
Based on work of P. Balister, B. Bollob\'as, R. Morris, J. Sahasrabudhe and M. Tiba, we show that if a covering system has distinct squarefree moduli, then the minimum modulus is at most 118. We also show that in general the k th smallest modulus in a covering system with distinct moduli (provided it is required for the covering) is bounded by an absolute constant.
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