Difference between revisions of "Template:Classes of natural numbers"

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m (update to Sierpiński number)
 
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Line 9: Line 9:
 
* [[Achilles number|Achilles]]
 
* [[Achilles number|Achilles]]
 
* [[Power of two|Power of 2]]
 
* [[Power of two|Power of 2]]
 +
* [[Power of three|Power of 3]]
 
* [[Power of 10]]
 
* [[Power of 10]]
 
* [[Square number|Square]]
 
* [[Square number|Square]]
Line 16: Line 17:
 
* [[Sixth power]]
 
* [[Sixth power]]
 
* [[Seventh power]]
 
* [[Seventh power]]
 +
* [[Eighth power]]
 
* [[Perfect power]]
 
* [[Perfect power]]
 
* [[Powerful number|Powerful]]
 
* [[Powerful number|Powerful]]
Line 53: Line 55:
 
* [[Knödel number|Knödel]]
 
* [[Knödel number|Knödel]]
 
* [[Riesel number|Riesel]]
 
* [[Riesel number|Riesel]]
* [[Sierpinski number|Sierpinski]]
+
* [[Sierpiński number|Sierpiński]]
  
 
|group6 = Expressible via specific sums
 
|group6 = Expressible via specific sums
Line 125: Line 127:
 
   |group1 = centered
 
   |group1 = centered
 
   |list1 =  
 
   |list1 =  
* [[Centered pentachoric number|Centered pentachoric]]
 
* [[Squared triangular number|Squared triangular]]
 
 
 
   |group2 = non-centered
 
   |group2 = non-centered
 
   |list2 =  
 
   |list2 =  
 
* [[Pentatope number|Pentatope]]
 
* [[Pentatope number|Pentatope]]
 +
* [[Squared triangular number|Squared triangular]]
 
* [[Fourth power|Tesseractic]]
 
* [[Fourth power|Tesseractic]]
 
}}
 
}}
Line 169: Line 169:
 
* [[Frobenius pseudoprime]]
 
* [[Frobenius pseudoprime]]
 
* [[Lucas pseudoprime]]
 
* [[Lucas pseudoprime]]
 +
* [[Lucas–Carmichael number]]
 
* [[Somer–Lucas pseudoprime]]
 
* [[Somer–Lucas pseudoprime]]
 
* [[Strong pseudoprime]]
 
* [[Strong pseudoprime]]
Line 224: Line 225:
 
* [[Euclid number|Euclid]]
 
* [[Euclid number|Euclid]]
 
* [[Fortunate number|Fortunate]]
 
* [[Fortunate number|Fortunate]]
 +
}}
  
|group7 = [[Number base|Base]]-dependent functions
+
|group12 = Other [[prime factor]] or [[divisor]] related numbers
  |list7 = {{Navbox|subgroup
+
|list12 =  
 +
* [[Blum integer|Blum]]
 +
* [[Erdős–Nicolas number|Erdős–Nicolas]]
 +
* [[Erdős–Woods number|Erdős–Woods]]
 +
* [[Friendly number|Friendly]]
 +
* [[Giuga number|Giuga]]
 +
* [[Harmonic divisor number|Harmonic divisor]]
 +
* [[Lucas–Carmichael number|Lucas–Carmichael]]
 +
* [[Pronic number|Pronic]]
 +
* [[Regular number|Regular]]
 +
* [[Rough number|Rough]]
 +
* [[Smooth number|Smooth]]
 +
* [[Sphenic number|Sphenic]]
 +
* [[Størmer number|Størmer]]
 +
* [[Super-Poulet number|Super-Poulet]]
 +
* [[Zeisel number|Zeisel]]
 +
 
 +
|group13 = [[Numeral system]]-dependent numbers
 +
|list13 = {{Navbox|subgroup
 +
|group1 = [[Arithmetic function]]s and [[Arithmetic dynamics|dynamics]]
 +
  |list1 =  
 +
* [[Persistence of a number|Persistence]]
 +
** [[Additive persistence|Additive]]
 +
** [[Multiplicative persistence|Multiplicative]]
 +
{{Navbox|subgroup
 
   |group1 = [[Digit sum]]
 
   |group1 = [[Digit sum]]
 
   |list1 =  
 
   |list1 =  
Line 256: Line 282:
 
** [[Happy number|Happy]]
 
** [[Happy number|Happy]]
 
}}
 
}}
  |group8 = Other
+
  |group2 = [[P-adic numbers]]-related
|list8 =
+
  |list2 =
* [[Persistence of a number|Persistence]]
 
** [[Additive persistence|Additive]]
 
** [[Multiplicative persistence|Multiplicative]]
 
}}
 
 
 
|group12 = Other [[prime factor]] or [[divisor]] related numbers
 
|list12 =
 
* [[Blum integer|Blum]]
 
* [[Erdős–Nicolas number|Erdős–Nicolas]]
 
* [[Erdős–Woods number|Erdős–Woods]]
 
* [[Friendly number|Friendly]]
 
* [[Giuga number|Giuga]]
 
* [[Harmonic divisor number|Harmonic divisor]]
 
* [[Lucas–Carmichael number|Lucas–Carmichael]]
 
* [[Pronic number|Pronic]]
 
* [[Regular number|Regular]]
 
* [[Rough number|Rough]]
 
* [[Smooth number|Smooth]]
 
* [[Sphenic number|Sphenic]]
 
* [[Størmer number|Størmer]]
 
* [[Super-Poulet number|Super-Poulet]]
 
* [[Zeisel number|Zeisel]]
 
{{Navbox|subgroup
 
|group1 = [[Number base|Base]]-dependent
 
|list1 =
 
* [[Equidigital number|Equidigital]]
 
* [[Extravagant number|Extravagant]]
 
* [[Frugal number|Frugal]]
 
* [[Harshad number|Harshad]]
 
* [[Polydivisible number|Polydivisible]]
 
* [[Smith number|Smith]]
 
}}
 
 
 
|group13 = Other [[Number base|base]]-dependent numbers
 
|list13 = {{Navbox|subgroup
 
|group1 = [[P-adic analysis]]
 
  |list1 =  
 
 
* [[Automorphic number|Automorphic]]
 
* [[Automorphic number|Automorphic]]
 +
** [[Trimorphic number|Trimorphic]]
  
  |group2 = [[Numerical digit|Digit]]-composition related
+
  |group3 = [[Numerical digit|Digit]]-composition related
  |list2 =  
+
  |list3 =  
 
* [[Palindromic number|Palindromic]]
 
* [[Palindromic number|Palindromic]]
 
* [[Pandigital number|Pandigital]]
 
* [[Pandigital number|Pandigital]]
Line 308: Line 298:
 
* [[Undulating number|Undulating]]
 
* [[Undulating number|Undulating]]
  
  |group3 = Digit-[[permutation]] related
+
  |group4 = Digit-[[permutation]] related
  |list3 =  
+
  |list4 =  
 
* [[Cyclic number|Cyclic]]
 
* [[Cyclic number|Cyclic]]
 
* [[Digit-reassembly number|Digit-reassembly]]
 
* [[Digit-reassembly number|Digit-reassembly]]
Line 316: Line 306:
 
* [[Transposable integer|Transposable]]
 
* [[Transposable integer|Transposable]]
  
  |group4 = Other
+
  |group5 = Divisor-related
  |list4 =  
+
|list5 =
 +
* [[Equidigital number|Equidigital]]
 +
* [[Extravagant number|Extravagant]]
 +
* [[Frugal number|Frugal]]
 +
* [[Harshad number|Harshad]]
 +
* [[Polydivisible number|Polydivisible]]
 +
* [[Smith number|Smith]]
 +
* [[Vampire number|Vampire]]
 +
 
 +
|group6 = Other
 +
  |list6 =  
 
* [[Friedman number|Friedman]]
 
* [[Friedman number|Friedman]]
* [[Vampire number|Vampire]]
 
 
}}
 
}}
  

Latest revision as of 15:52, 8 September 2020

Template documentation

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}}
    • shows the template collapsed to the title bar if there is a {{navbar}}, a {{sidebar}}, or some other table on the page with the collapsible attribute
    • shows the template in its expanded state if there are no other collapsible items on the page

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