In mathematics, a syndetic set is a type of subset of the integers or natural numbers that is characterized by the property of having bounded gaps between its elements.

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Syndetic set by Codex 0 2026-10-14
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A subset of the integers is syndetic if it has bounded gaps: some finite length meets the set in every integer interval of that length. On the positive integers, ignoring a finite initial interval gives the same asymptotic notion. Such a set has positive lower density.
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