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Mertens' theorems

series of three theorems about the density of prime numbers
Thing general Q1196729
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Mertens' theorems

Summary

Mertens' theorems ranks in the top 2% of general entities by monthly Wikipedia readership (110 views/month).[1]

Key Facts

  • Mertens' theorems is credited with the discovery of Franz Mertens[2].
  • Franz Mertens is named after Mertens' theorems[3].
  • Mertens' theorems's subclass of is recorded as theorem[4].
  • Mertens' theorems's part of is recorded as list of theorems[5].
  • Mertens' theorems's has part is recorded as Mertens' first theorem[6].
  • Mertens' theorems's has part is recorded as Mertens' second theorem[7].
  • Mertens' theorems's has part is recorded as Mertens' third theorem[8].
  • Mertens' theorems's time of discovery or invention is recorded as +1874-00-00T00:00:00Z[9].
  • Mertens' theorems's Freebase ID is recorded as /m/03wjsc[10].
  • Mertens' theorems's main subject is recorded as prime number[11].
  • Mertens' theorems's studied by is recorded as analytic number theory[12].
  • Mertens' theorems's MathWorld ID is recorded as MertensTheorem[13].
  • Mertens' theorems's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Mertens' theorems's Microsoft Academic ID is recorded as 85965945[15].

Body

Works and Contributions

Mertens' theorems is credited with the discovery of Franz Mertens[2].

Why It Matters

Mertens' theorems ranks in the top 2% of general entities by monthly Wikipedia readership (110 views/month).[1] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[16] It is known by 4 alternative names across languages and contexts.[17]

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] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . Freebase Data Dumps. wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.
  13. [14] ↑ . wikidata.org.
  14. [15] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] ↑ . Wikidata sitelinks. wikidata.org.
  3. [17] ↑ . Wikidata aliases. 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). Mertens' theorems. Retrieved April 10, 2026, from https://4ort.xyz/entity/mertens-theorems
MLA “Mertens' theorems.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/mertens-theorems.
BibTeX @misc{4ortxyz_mertens-theorems_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Mertens' theorems}}, year = {2026}, url = {https://4ort.xyz/entity/mertens-theorems}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Mertens' theorems — https://4ort.xyz/entity/mertens-theorems (retrieved 2026-04-10)

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