Difference between revisions of "Template:Classes of natural numbers"
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imported>Arlene Foster |
imported>Arlene Foster |
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| − | {{Navbox | + | {{Navbox with collapsible groups |
| name = Classes of natural numbers | | name = Classes of natural numbers | ||
| title = Classes of [[natural number]]s | | title = Classes of [[natural number]]s | ||
| Line 5: | Line 5: | ||
| state = {{{state|<includeonly>collapsed</includeonly>}}} | | state = {{{state|<includeonly>collapsed</includeonly>}}} | ||
| − | |group1 = [[Exponentiation|Powers]] and | + | |group1 = [[Exponentiation|Powers]] and related numbers |
|list1 = | |list1 = | ||
* [[Achilles number|Achilles]] | * [[Achilles number|Achilles]] | ||
| Line 20: | Line 20: | ||
* [[Prime power]] | * [[Prime power]] | ||
| − | |group2 = Of the form | + | |group2 = Of the form ''a'' × 2<sup>''b''</sup> ± 1 |
|list2 = | |list2 = | ||
* [[Cullen number|Cullen]] | * [[Cullen number|Cullen]] | ||
| Line 30: | Line 30: | ||
* [[Woodall number|Woodall]] | * [[Woodall number|Woodall]] | ||
| − | |group3 = Other polynomial | + | |group3 = Other polynomial numbers |
|list3 = | |list3 = | ||
* [[Carol number|Carol]] | * [[Carol number|Carol]] | ||
| Line 40: | Line 40: | ||
* [[Lucky numbers of Euler]] | * [[Lucky numbers of Euler]] | ||
| − | |group4 = [[Recursion|Recursively]] defined | + | |group4 = [[Recursion|Recursively]] defined numbers |
|list4 = | |list4 = | ||
* [[Fibonacci number|Fibonacci]] | * [[Fibonacci number|Fibonacci]] | ||
| Line 49: | Line 49: | ||
* [[Pell number|Pell]] | * [[Pell number|Pell]] | ||
* [[Perrin number|Perrin]] | * [[Perrin number|Perrin]] | ||
| − | |group5 = Possessing a | + | |group5 = Possessing a specific set of other numbers |
|list5 = | |list5 = | ||
* [[Knödel number|Knödel]] | * [[Knödel number|Knödel]] | ||
| Line 55: | Line 55: | ||
* [[Sierpinski number|Sierpinski]] | * [[Sierpinski number|Sierpinski]] | ||
| − | |group6 = Expressible via | + | |group6 = Expressible via specific sums |
|list6 = | |list6 = | ||
* [[Nonhypotenuse number|Nonhypotenuse]] | * [[Nonhypotenuse number|Nonhypotenuse]] | ||
| Line 135: | Line 135: | ||
}} | }} | ||
| − | |group8 = [[Number base|Base]]-dependent | + | |group8 = [[Number base|Base]]-dependent numbers |
|list8 = {{Navbox|subgroup | |list8 = {{Navbox|subgroup | ||
|group1 = [[Arithmetic functions]] and [[Arithmetic dynamics|dynamics]] | |group1 = [[Arithmetic functions]] and [[Arithmetic dynamics|dynamics]] | ||
| Line 197: | Line 197: | ||
}} | }} | ||
| − | |group9 = Combinatorial | + | |group9 = Combinatorial numbers |
|list9 = | |list9 = | ||
* [[Bell number|Bell]] | * [[Bell number|Bell]] | ||
| Line 288: | Line 288: | ||
* [[Wilson prime#Wilson numbers|Wilson]] | * [[Wilson prime#Wilson numbers|Wilson]] | ||
| − | |group13 = Other [[prime factor]] | + | |group13 = Other [[prime factor]] or [[divisor]] related numbers |
|list13 = | |list13 = | ||
* [[Blum integer|Blum]] | * [[Blum integer|Blum]] | ||
| Line 313: | Line 313: | ||
* [[Pernicious number|Pernicious]] | * [[Pernicious number|Pernicious]] | ||
| − | |group15 = Generated | + | |group15 = Generated via a [[Sieve theory|sieve]] |
|list15 = | |list15 = | ||
* [[Lucky number|Lucky]] | * [[Lucky number|Lucky]] | ||
Revision as of 02:11, 1 December 2019
Initial visibility: currently defaults to autocollapse
To set this template's initial visibility, the |state= parameter may be used:
|state=collapsed:{{Classes of natural numbers|state=collapsed}}to show the template collapsed, i.e., hidden apart from its title bar|state=expanded:{{Classes of natural numbers|state=expanded}}to show the template expanded, i.e., fully visible|state=autocollapse:{{Classes of natural numbers|state=autocollapse}}
If the |state= parameter in the template on this page is not set, the template's initial visibility is taken from the |default= parameter in the Collapsible option template. For the template on this page, that currently evaluates to autocollapse.
See also
- {{Divisor classes}}
- {{Figurate numbers}}
- {{Prime number classes}}
- {{Series (mathematics)}}
| Editors can experiment in this template's sandbox (edit | diff) and testcases (create) pages. Subpages of this template. |