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sum-free set

A is sum-free if the equation a+b=c has no solution with a, b, and c all in A
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sum-free set

Summary

sum-free set ranks in the top 2% of general entities by monthly Wikipedia readership (29 views/month).[1]

Key Facts

  • sum-free set's subclass of is recorded as set[2].
  • sum-free set's part of is recorded as abelian group[3].
  • sum-free set's Freebase ID is recorded as /m/02r0nj2[4].
  • sum-free set's defining formula is recorded as (A+A) \cap A = \varnothing[5].
  • sum-free set's studied by is recorded as additive combinatorics[6].
  • sum-free set's MathWorld ID is recorded as Sum-FreeSet[7].
  • sum-free set's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • sum-free set's Microsoft Academic ID is recorded as 2778824121[9].
  • sum-free set's in defining formula is recorded as A+A[10].

Why It Matters

sum-free set ranks in the top 2% of general entities by monthly Wikipedia readership (29 views/month).[1] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[11]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . Freebase Data Dumps. wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . Retrieved . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). sum-free set. Retrieved April 10, 2026, from https://4ort.xyz/entity/sum-free-set
MLA “sum-free set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/sum-free-set.
BibTeX @misc{4ortxyz_sum-free-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{sum-free set}}, year = {2026}, url = {https://4ort.xyz/entity/sum-free-set}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): sum-free set — https://4ort.xyz/entity/sum-free-set (retrieved 2026-04-10)

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