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In number theory, a Carmichael number is a composite number n {\displaystyle n} which in modular arithmetic satisfies the congruence relation:
The analysis highlights Properties, Discovery and Overview as prominent areas in the source structure around Carmichael number.
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.
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.
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The extracted context around Carmichael number shows recurring relationship patterns in the source. For example, Carmichael number → Baillie, Carmichael, Euler, Fermat, Fermat's, Fermat's Little Theorem, Jacobi, Miller, PSW, Rabin Another extracted example is Carmichael number → Carmichael, Czech, Korselt, Korselt's, Václav. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
carmichael numbers displaystyle number prime composite theorem also integer ideal 10 integers criterion doi factors many large pn fermat's fermat
TTTA extracted 50 structured relationships around Carmichael number. Examples in this analysis include Carmichael number → is a → composite number and the Baillie → instance of → This makes tests based on Fermat's Little Theorem less effective than strong probable prime tests. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Carmichael number | is a | composite number | 0.90 | text |
| the Baillie | instance of | This makes tests based on Fermat's Little Theorem less effective than strong probable prime tests | 0.80 | text |
| Carmichael number | related to An order-2 Carmichael number | According | 0.60 | section |
| Carmichael number | related to An order-2 Carmichael number | Howe | 0.60 | section |
| Carmichael number | related to An order-2 Carmichael number | Carmichael | 0.60 | section |
| Carmichael number | related to Discovery | Carmichael | 0.60 | section |
| Carmichael number | related to Discovery | Czech | 0.60 | section |
| Carmichael number | related to Discovery | Václav | 0.60 | section |
| Carmichael number | related to Discovery | Korselt | 0.60 | section |
| Carmichael number | related to Discovery | Korselt's | 0.60 | section |
| Carmichael number | related to Distribution | Carmichael | 0.60 | section |
| Carmichael number | related to Distribution | A055553 | 0.60 | section |
The concept neighborhoods around Carmichael number bring nearby vocabulary together. In this analysis, examples include Numbers, Displaystyle and Number. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Carmichael number, one of the stronger structural bridges in this analysis connects Carmichael number with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Carmichael number to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Properties, Discovery & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Carmichael number · EN edition · Analysis: TopicsToTalkAbout
