Tonelli–Shanks algorithm

algorithm used in arithmetic
Place algorithm Q17104164
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Tonelli–Shanks algorithm

Summary

Tonelli–Shanks algorithm is an algorithm[1]. It draws 34 Wikipedia views per month (algorithm category, ranking #132 of 337).[2]

Key Facts

  • Tonelli–Shanks algorithm's instance of is recorded as algorithm[3].
  • Alberto Tonelli is named after Tonelli–Shanks algorithm[4].
  • Daniel Shanks is named after Tonelli–Shanks algorithm[5].
  • Tonelli–Shanks algorithm's Freebase ID is recorded as /m/09tbj7[6].
  • Tonelli–Shanks algorithm's computes solution to is recorded as quadratic residue[7].
  • Tonelli–Shanks algorithm's Microsoft Academic ID is recorded as 170371046[8].

Body

Designation and Status

Tonelli–Shanks algorithm's instance of is recorded as algorithm[3].

History and Context

Things named after include Alberto Tonelli[4], a mathematician[9], 1850–1920[10], of Kingdom of Italy[11] and Daniel Shanks[5], a mathematician[12], 1917–1996[13], of United States[14], specialised in number theory[15].

Why It Matters

Tonelli–Shanks algorithm draws 34 Wikipedia views per month (algorithm category, ranking #132 of 337).[2]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.

Inline context (facts about related entities)

  1. [9] . Wikidata. wikidata.org. → on this site
  2. [10] . Wikidata. wikidata.org. → on this site
  3. [11] . Wikidata. wikidata.org. → on this site
  4. [12] . Wikidata. wikidata.org. → on this site
  5. [13] . Wikidata. wikidata.org. → on this site
  6. [14] . Wikidata. wikidata.org. → on this site
  7. [15] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.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). Tonelli–Shanks algorithm. Retrieved May 3, 2026, from https://4ort.xyz/entity/tonelli-shanks-algorithm
MLA “Tonelli–Shanks algorithm.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/tonelli-shanks-algorithm.
BibTeX @misc{4ortxyz_tonelli-shanks-algorithm_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Tonelli–Shanks algorithm}}, year = {2026}, url = {https://4ort.xyz/entity/tonelli-shanks-algorithm}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Tonelli–Shanks algorithm — https://4ort.xyz/entity/tonelli-shanks-algorithm (retrieved 2026-05-03)

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