Salem–Spencer set

id: salem-spencer-set-165-16871446
title: Salem–Spencer set
text: In mathematics, and in particular in arithmetic combinatorics, a Salem-Spencer set is a set of numbers no three of which form an arithmetic progression. Salem–Spencer sets are also called 3-AP-free sequences or progression-free sets. They have also been called non-averaging sets, but this term has also been used to denote a set of integers none of which can be obtained as the average of any subset of the other numbers. Salem-Spencer sets are named after Raphaël Salem and Donald C. Spencer, who s
brand slug: wiki
category slug: encyclopedia
description: Progression-free set of numbers
original url: https://en.wikipedia.org/wiki/Salem%E2%80%93Spencer_set
date created: 2019-02-04T01:56:40Z
date modified: 2024-08-29T15:48:20Z
main entity: {"identifier":"Q65119165","url":"https://www.wikidata.org/entity/Q65119165"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/24/Salem-Spencer-8-14.svg","width":540,"height":414}
fields total: 13
integrity: 16

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