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Permutable prime: Base 10, Base 2 & Base 12
A permutable prime, also known as anagrammatic prime, is a prime number which, in a given base, can have its digits' positions switched through any permutation and still be a prime number. H. E. Richert, who is supposedly the first to study these primes, called them permutable primes, but later they were also called absolute primes.
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Permutable prime topic overview
The analysis highlights Base 10, Base 2 and Base 12 as prominent areas in the source structure around Permutable prime.
Related topics
24
Source areas
4
Connected nodes
28
Extracted relationships
17
Concept neighborhoods
13
Bridge connections
28
What this topic covers Research coverage
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Base 10 · 15 topics
Base 2 · 4 topics
Overview · 4 topics
Base 12 · 1 topics
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
A003459 · Absolute primes (or permutable primes): every permutation of the digits is a prime.
Explore all related topics Closing gaps
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.
Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
How Permutable prime connects Entity context
Entity context groups extracted connections by relationship type. Counts show recurrence in the analyzed source; the examples are research signals, not claims about importance.
The extracted context around Permutable prime shows recurring relationship patterns in the source. For example, Permutable prime → In, Mersenne, One-digit, The, Therefore Another extracted example is Permutable prime → Any, In, Where Rn. Use these groups to spot repeated connection types before inspecting the individual relationships.
Permutable prime
Top relations
related to Base 2· 5
Permutable prime → In, Mersenne, One-digit, The, Therefore
related to Base 10· 3
Permutable prime → Any, In, Where Rn
related to Base 12· 3
Permutable prime → In, It, There
OEIS index· 2
Permutable prime → A003459, Absolute primes (or permutable primes): every permutation of the digits is a prime.
Permutable prime relationships Subject–Predicate–Object triples
Relationships are represented as Subject → Predicate → Object triples. Confidence describes extraction strength, not the real-world importance of a relationship; lower-confidence rows may be contextual rather than explicit.
TTTA extracted 17 structured relationships around Permutable prime. Examples in this analysis include Permutable prime → Conjectured no. of terms → Infinite and Permutable prime → First terms → 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199. The table shows each extracted connection, where it came from and its confidence.
Absolute primes (or permutable primes): every permutation of the digits is a prime.
1.00
infobox
Permutable prime
is a
repunit or a near-repdigit
0.90
text
Permutable prime
related to Base 10
In
0.60
section
Permutable prime
related to Base 10
Where Rn
0.60
section
Permutable prime
related to Base 10
Any
0.60
section
Permutable prime
related to Base 12
In
0.60
section
Permutable prime
related to Base 12
There
0.60
section
Permutable prime
related to Base 12
It
0.60
section
No triples extracted yet.
Related concept clusters Concept neighborhoods
Concept neighborhoods group terms that sit near one another in the extracted graph. They are useful for discovering adjacent language and context, but proximity does not by itself imply a factual relationship.
The concept neighborhoods around Permutable prime bring nearby vocabulary together. In this analysis, examples include Primes, Prime and Digits. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
Permutable prime
Primes
Prime
Digits
Base
Permutation
Repunit
Number
Known
Two
Besides
N-digit
Conjectured
permutable prime
Primes
Prime
Digits
Permutation
Base
Two
Repunit
Number
Known
Besides
Composed
Elements
prime number
Digits
Permutation
Two
Base
Repunit
Besides
Even
Given
Ones
Primes
Permutable
Coprime
base
Permutable
Known
Primes
Permutation
Number
Prime
Digits
Repunit
A003459
Every
Fewer
Given
permutation
Prime
Digits
Elements
Every
Sets
Smallest
Unique
Two
Repunit
Primes
Positions
Still
positional number system
Base
Besides
Even
Given
Ones
Primes
Permutable
Coprime
Digits
Prime
Permutation
Digits'
base 10
Permutable
Known
Primes
Permutation
Number
Prime
Digits
Repunit
A003459
Every
Fewer
Given
base 12
Permutable
Known
Primes
Permutation
Number
Prime
Digits
Repunit
A003459
Every
Fewer
Given
Connections between topic areas Semantic bridges
Semantic bridges connect parts of the graph that would otherwise be more separate. A bridge is a structural signal in this analysis, not a claim that the two topic areas are equivalent.
For Permutable prime, one of the stronger structural bridges in this analysis connects Permutable prime with Base 10. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
Min side: 3
Permutable prime — Base 10· splits 13 ⟂ 16Permutable prime — Overview· splits 24 ⟂ 5Permutable prime — Base 2· splits 24 ⟂ 5
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.
Permutable prime
Nodes29
Edges28
Triples17
Avg. degree1.93
Density0.068966
Components1
Source & methodology
TTTA analyzes the structure around Permutable prime to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Base 10, Base 2 & Base 12, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
