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Explore the main themes, entities and connections around Repunit. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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Repunit primes
15 related topics
History
4 related topics
Properties
Necessary but not sufficient conditionCarmichael functionGoormaghtigh conjecturePigeon-hole principleRelatively prime
8 related topics
Definition
5 related topics
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
- Conjectured no. of terms
- Infinite
- First terms
- 11, 1111111111111111111, 11111111111111111111111
- Largest known term
- (108177207−1)/9
- No. of known terms
- 11
- OEIS index
- A004022 · Primes of the form (10^n − 1)/9
Topics to explore
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.Browse the full topic structure. Each item opens a new analysis centered on that subject.
Overview
Definition
Properties
- Necessary but not sufficient condition Necessity and sufficiency
- Carmichael function
- Goormaghtigh conjecture
- Pigeon-hole principle
- Relatively prime Coprime integers
- Feit–Thompson conjecture
- Euclidean Algorithm
- Strong divisibility sequence Divisibility sequence
Repunit primes
- Prime factors Integer factorization
- Cyclotomic polynomial
- OEIS
- Prime number theorem
- Permutable primes Permutable prime
- Permutation
- Perfect power
- Prime power
- Aurifeuillean factorization
- Generalized Mersenne prime
- Root Nth root
- Base of natural logarithm E (mathematical constant)
- Euler–Mascheroni constant
- Logarithm
- Base Base of a logarithm
History
- Period Repeating decimal
- Édouard Lucas
- Nineteen 19 (number)
- Cunningham project
Demlo numbers
- D. R. Kaprekar
- Demlo Demlo?action=edit&redlink=1
- Dombivili Dombivli railway station
- G.I.P. Railway
Advanced semantic analysis
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.Repunit
Nodes52
Edges51
Triples166
Avg. degree1.96
Density0.038462
Components1
How this topic connects Entity context
Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.See the strongest relationship patterns around the current topic before diving into the raw triples.
Repunit
Top relations
related to References · 52
Repunit → Albert, AMS Chelsea Publishing, Another Look, Beiler, Bombay, Computers, Cresse, Delray Beach, Demlo, Devlali, Divisibility, Dover Publications, Dover Recreational Math, FL, History, India, ISBN, Journal, Kaprekar, KhareswadaRibenboim
related to Properties · 30
Repunit → Any, As, Because, Carmichael, Euclidean Algorithm, For, If, It, Now, R1, R29, R35, Rd, Ri, Rj, Rm, Rn, Rp, Rq, Similarly
related to Decimal repunit primes · 20
Repunit → A004023, April, As, It, Maksym Voznyy, May, Nth, OEIS, On July, On March, On May, R109297, R270343, R49081, R5794777, R8177207, R86453, Rn, Ryan Propper, Serge Batalov
related to history · 15
Repunit → Although, By, It, Kraitchik, Lehmer, Lucas, Oscar Hoppe, R16, R17, R19, R23, R36, Reuschle, Tables, The American
related to External links · 14
Repunit → Andy StewardRepunit Primes Project, Chris Caldwell, Cunningham, Eric, Giovanni Di Maria's, MathWorld, Of Numbers, Prime, Repunits, Smallest, The, The Prime Pages, Weisstein, World
related to Demlo numbers · 11
Repunit → A002477, Bombay, Demlo, Dombivili, He, Kaprekar, OEIS, Railway, The, They, Wonderful Demlo
related to Algebra factorization of generalized repunit numbers · 6
Repunit → Another, If, It, R2, R3, Rp
related to Repunit primes · 4
Repunit → It, Ra, Rn, The
related to Definition · 3
Repunit → Rn, The, Thus
OEIS index · 2
Repunit → A004022, Primes of the form (10^n − 1)/9
Important terminology Word statistics
Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
Important terminology
prime repunits numbers number rn primes displaystyle base base-b demlo form power probable known generalized also example factorization decimal 11
Entity relationships Subject–Predicate–Object triples
Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Repunit | Conjectured no. of terms | Infinite | 1.00 | infobox |
| Repunit | First terms | 11, 1111111111111111111, 11111111111111111111111 | 1.00 | infobox |
| Repunit | Largest known term | (108177207−1)/9 | 1.00 | infobox |
| Repunit | No. of known terms | 11 | 1.00 | infobox |
| Repunit | OEIS index | A004022 | 1.00 | infobox |
| Repunit | OEIS index | Primes of the form (10^n − 1)/9 | 1.00 | infobox |
| Repunit | is a | number like 11 | 0.90 | text |
| Repunit | related to Algebra factorization of generalized repunit numbers | If | 0.60 | section |
| Repunit | related to Algebra factorization of generalized repunit numbers | Rp | 0.60 | section |
| Repunit | related to Algebra factorization of generalized repunit numbers | R2 | 0.60 | section |
| Repunit | related to Algebra factorization of generalized repunit numbers | Another | 0.60 | section |
| Repunit | related to Algebra factorization of generalized repunit numbers | R3 | 0.60 | section |
No triples extracted yet.
Related concept clusters Concept neighborhoods
Clusters of nearby vocabulary surrounding the topic. Scan them for adjacent concepts and language you may have missed.These clusters group vocabulary that occurs around closely connected concepts in the source material.
Connections between topic areas Semantic bridges
Bridge nodes connect otherwise separate parts of the map. Expand a row to inspect the topic groups on each side.Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.
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