Zeller's congruence

algorithm to calculate the day of the week in the Gregorian and Julian calendars
Place determination_of_the_day_of_the_week Q2140717
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Zeller's congruence

Summary

Zeller's congruence is a determination of the day of the week[1]. It draws 124 Wikipedia views per month (determination_of_the_day_of_the_week category, ranking #1 of 1).[2]

Key Facts

  • Zeller's congruence is credited with the discovery of Christian Zeller[3].
  • Zeller's congruence's instance of is recorded as determination of the day of the week[4].
  • Zeller's congruence's instance of is recorded as formula[5].
  • Christian Zeller is named after Zeller's congruence[6].
  • Zeller's congruence's Commons category is recorded as Perpetual calendars[7].
  • Zeller's congruence's time of discovery or invention is recorded as +1882-00-00T00:00:00Z[8].
  • Zeller's congruence's Freebase ID is recorded as /m/04h9f0[9].
  • Zeller's congruence's defining formula is recorded as h = \left(q + \left\lfloor\frac{13(m+1)}{5}\right\rfloor + K + \left\lfloor\frac{K}{4}\right\rfloor + \left\lfloor\frac{J}{4}\right\rfloor - 2J\right) \bmod 7[10].
  • Zeller's congruence's defining formula is recorded as h = \left(q + \left\lfloor\frac{13(m+1)}{5}\right\rfloor + K + \left\lfloor\frac{K}{4}\right\rfloor + 5 - J\right) \bmod 7[11].
  • Zeller's congruence's Quora topic ID is recorded as Zellers-Congruence[12].
  • Zeller's congruence's Dictionary of Algorithms and Data Structures ID is recorded as zellersCongruence[13].
  • Zeller's congruence's Dictionary of Algorithms and Data Structures ID is recorded as ZellersAlgorithm[14].
  • Zeller's congruence's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • Zeller's congruence's Microsoft Academic ID is recorded as 2779455459[16].

Body

Designation and Status

Recorded instance of include determination of the day of the week[4] and formula[5].

History and Context

Christian Zeller is named after Zeller's congruence[6].

Why It Matters

Zeller's congruence draws 124 Wikipedia views per month (determination_of_the_day_of_the_week category, ranking #1 of 1).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[17] It is known by 3 alternative names across languages and contexts.[18]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . Quora. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). Zeller's congruence. Retrieved May 3, 2026, from https://4ort.xyz/entity/zeller-s-congruence
MLA “Zeller's congruence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/zeller-s-congruence.
BibTeX @misc{4ortxyz_zeller-s-congruence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Zeller's congruence}}, year = {2026}, url = {https://4ort.xyz/entity/zeller-s-congruence}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Zeller's congruence — https://4ort.xyz/entity/zeller-s-congruence (retrieved 2026-05-03)

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