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In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is a number in which every prime factor is at most 7. Therefore, 49 = 72 and 15750 = 2 × 32 × 53 × 7 are both 7-smooth, while 11 and 702 = 2 × 33 × 13 are not 7-smooth. The term seems to have been coined by…
The analysis highlights Applications, Powersmooth numbers and Definition as prominent areas in the source structure around Smooth 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.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
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.
The extracted context around Smooth number shows recurring relationship patterns in the source. For example, Smooth number → An, B-smooth, Babylonian, Bluestein's FFT, By, Cooley, FFT, Fourier, Large, Limit, Numbers, They, Tukey FFT Another extracted example is Smooth number → AMS, Computational, Granville, Introduction, ISBN, MSRI, Proc, Smooth, Tenenbaum. 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.
numbers number prime smooth displaystyle factors 5-smooth integer also example equal set b-smooth theory less factor factorization 7-smooth applications positive
TTTA extracted 38 structured relationships around Smooth number. Examples in this analysis include Smooth number → is a → number in which every prime factor is at most 7 and Bluestein's FFT algorithm → instance of → Large prime sizes require less-efficient algorithms. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Smooth number | is a | number in which every prime factor is at most 7 | 0.90 | text |
| Bluestein's FFT algorithm | instance of | Large prime sizes require less-efficient algorithms | 0.80 | text |
| Smooth number | has application | An | 0.60 | section |
| Smooth number | has application | Fourier | 0.60 | section |
| Smooth number | has application | FFT | 0.60 | section |
| Smooth number | has application | Cooley | 0.60 | section |
| Smooth number | has application | Tukey FFT | 0.60 | section |
| Smooth number | has application | By | 0.60 | section |
| Smooth number | has application | B-smooth | 0.60 | section |
| Smooth number | has application | Large | 0.60 | section |
| Smooth number | has application | Bluestein's FFT | 0.60 | section |
| Smooth number | has application | Numbers | 0.60 | section |
The concept neighborhoods around Smooth number bring nearby vocabulary together. In this analysis, examples include Applications, Less and Equal. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Smooth number, one of the stronger structural bridges in this analysis connects Smooth number with Applications. 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 Smooth number to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications, Powersmooth numbers & Definition, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Smooth number · EN edition · Analysis: TopicsToTalkAbout