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Ramanujan prime

Prime fulfilling an inequality related to the prime-counting function
Class type of: prime number Q3044802

Facts

5 properties
Instance of
mathematical concept
Subclass of
prime number[3]
Defining formula
\text{least integer } R_n \text{ for which } \pi(x) - \pi(x/2) \ge n[4]
Maintained by WikiProject
WikiProject Mathematics[5]
Named after
Srinivasa Ramanujan[2]
🏷️ Also known as
en Ramanujan prime ar عدد رامانجن الأولي de Ramanujan-Primzahl es número primo de Ramanujan es numero primo de Ramanujan fa عدد اول رامانوجان fr nombre premier de Ramanujan ja ラマヌジャン素数 ko 라마누잔 소수 pl Liczby pierwsze Ramanujana pt primo de Ramanujan ru простые числа Рамануджана uk просте число Рамануджана uk прості числа Рамануджана vi Số nguyên tố Ramanujan zh 拉马努金質數 zh-hant 拉馬努金質數
🔖 Identifiers · 3
Freebase ID
/m/0h04pv
MathWorld ID
RamanujanPrime
Microsoft Academic ID (discontinued)
336617

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🔗 Connections
Created notable works 1
Srinivasa Ramanujan
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
Srinivasa Ramanujan
Subclass of 1
prime number
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Summary

Ramanujan prime is a mathematical concept[1].

Related Entities

Srinivasa Ramanujan

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.

Class ancestry

  1. [1] ↑ . Wikidata. 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). Ramanujan prime. Retrieved October 30, 2026, from https://4ort.xyz/entity/ramanujan-prime
MLA “Ramanujan prime.” 4ort.xyz Knowledge Graph, 4ort.xyz, 30 Oct. 2026, https://4ort.xyz/entity/ramanujan-prime.
BibTeX @misc{4ortxyz_ramanujan-prime_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Ramanujan prime}}, year = {2026}, url = {https://4ort.xyz/entity/ramanujan-prime}, note = {Accessed: 2026-10-30}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Ramanujan prime — https://4ort.xyz/entity/ramanujan-prime (retrieved 2026-10-30)

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