Unrolling residues to avoid progressions

Abstract

Mathematics is often described as the study of patterns, some of the most beautiful of which are periodic. In the integers these periodic patterns take the form of arithmetic progressions, i.e., a set of integers which are equally spaced, or have the same common difference. For example, 5, 11, 17, 23, 29 is an arithmetic progression with 5 terms where… (More)

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