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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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1970_03_01_crittenden_vanden_eynden: The 1970 theorem of Crittenden and Vanden Eynden in Proc. Amer. Math. Soc. that r congruences covering 2^r consecutive integers cover every integer, a conjecture of Erdős also proved by Selfridge; accepted as a refereed paper.

2019_09_05_balister_bollobas_morris_sahasrabudhe_tiba: The four-page 2020 Acta Math. Hungar. paper of Balister, Bollobás, Morris, Sahasrabudhe and Tiba giving a short proof that r congruences covering 2^r consecutive integers cover every integer; accepted on the refereed paper.