Difference between revisions of "Template:Classes of natural numbers"
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imported>David Eppstein (WP:DENY) |
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| Line 52: | Line 52: | ||
|group5 = Possessing a<br/> specific set<br/> of other numbers | |group5 = Possessing a<br/> specific set<br/> of other numbers | ||
|list5 = | |list5 = | ||
| − | |||
* [[Knödel number|Knödel]] | * [[Knödel number|Knödel]] | ||
* [[Riesel number|Riesel]] | * [[Riesel number|Riesel]] | ||
| Line 83: | Line 82: | ||
* [[Centered square number|Centered square]] | * [[Centered square number|Centered square]] | ||
* [[Centered pentagonal number|Centered pentagonal]] | * [[Centered pentagonal number|Centered pentagonal]] | ||
| − | * [[Centered hexagonal number|Centered hexagonal | + | * [[Centered hexagonal number|Centered hexagonal]] |
* [[Centered heptagonal number|Centered heptagonal]] | * [[Centered heptagonal number|Centered heptagonal]] | ||
* [[Centered octagonal number|Centered octagonal]] | * [[Centered octagonal number|Centered octagonal]] | ||
* [[Centered nonagonal number|Centered nonagonal]] | * [[Centered nonagonal number|Centered nonagonal]] | ||
* [[Centered decagonal number|Centered decagonal]] | * [[Centered decagonal number|Centered decagonal]] | ||
| − | * [[ | + | * [[Star number|Star]] |
| − | |||
| group2 = [[Polygonal number|non-centered]] | | group2 = [[Polygonal number|non-centered]] | ||
| Line 95: | Line 93: | ||
* [[Triangular number|Triangular]] | * [[Triangular number|Triangular]] | ||
* [[Square number|Square]] | * [[Square number|Square]] | ||
| − | |||
* [[Square triangular number|Square triangular]] | * [[Square triangular number|Square triangular]] | ||
* [[Pentagonal number|Pentagonal]] | * [[Pentagonal number|Pentagonal]] | ||
| Line 103: | Line 100: | ||
* [[Nonagonal number|Nonagonal]] | * [[Nonagonal number|Nonagonal]] | ||
* [[Decagonal number|Decagonal]] | * [[Decagonal number|Decagonal]] | ||
| − | |||
* [[Dodecagonal number|Dodecagonal]] | * [[Dodecagonal number|Dodecagonal]] | ||
}} | }} | ||
| Line 120: | Line 116: | ||
| list2 = | | list2 = | ||
* [[Tetrahedral number|Tetrahedral]] | * [[Tetrahedral number|Tetrahedral]] | ||
| − | |||
* [[Octahedral number|Octahedral]] | * [[Octahedral number|Octahedral]] | ||
* [[Dodecahedral number|Dodecahedral]] | * [[Dodecahedral number|Dodecahedral]] | ||
| Line 128: | Line 123: | ||
| group3 = [[Pyramidal number|pyramidal]] | | group3 = [[Pyramidal number|pyramidal]] | ||
| list3 = | | list3 = | ||
| − | |||
* [[Square pyramidal number|Square pyramidal]] | * [[Square pyramidal number|Square pyramidal]] | ||
* [[Pentagonal pyramidal number|Pentagonal pyramidal]] | * [[Pentagonal pyramidal number|Pentagonal pyramidal]] | ||
| Line 158: | Line 152: | ||
* [[Frobenius pseudoprime]] | * [[Frobenius pseudoprime]] | ||
* [[Lucas pseudoprime]] | * [[Lucas pseudoprime]] | ||
| − | |||
* [[Somer–Lucas pseudoprime]] | * [[Somer–Lucas pseudoprime]] | ||
* [[Strong pseudoprime]] | * [[Strong pseudoprime]] | ||
| Line 183: | Line 176: | ||
|group1 = By properties of [[Divisor function|σ(''n'')]] | |group1 = By properties of [[Divisor function|σ(''n'')]] | ||
|list1 = | |list1 = | ||
| + | * [[Abundant number|Abundant]] | ||
* [[Almost perfect number|Almost perfect]] | * [[Almost perfect number|Almost perfect]] | ||
* [[Arithmetic number|Arithmetic]] | * [[Arithmetic number|Arithmetic]] | ||
| Line 201: | Line 195: | ||
* [[Superior highly composite number|Superior highly composite]] | * [[Superior highly composite number|Superior highly composite]] | ||
* [[Superperfect number|Superperfect]] | * [[Superperfect number|Superperfect]] | ||
| + | * [[Untouchable number|Untouchable]] | ||
|group2 = By properties of [[Arithmetic function#Ω(n), ω(n), νp(n) – prime power decomposition|Ω(''n'')]] | |group2 = By properties of [[Arithmetic function#Ω(n), ω(n), νp(n) – prime power decomposition|Ω(''n'')]] | ||
|list2 = | |list2 = | ||
* [[Almost prime]] | * [[Almost prime]] | ||
| − | |||
| − | |||
* [[Semiprime]] | * [[Semiprime]] | ||
| Line 220: | Line 213: | ||
|group4 = By properties of [[Divisor function#Definition|s(''n'')]] | |group4 = By properties of [[Divisor function#Definition|s(''n'')]] | ||
|list4 = | |list4 = | ||
| − | |||
* [[Amicable numbers|Amicable]] | * [[Amicable numbers|Amicable]] | ||
* [[Betrothed numbers|Betrothed]] | * [[Betrothed numbers|Betrothed]] | ||
* [[Deficient number|Deficient]] | * [[Deficient number|Deficient]] | ||
* [[Semiperfect number|Semiperfect]] | * [[Semiperfect number|Semiperfect]] | ||
| − | |||
| − | |||
| − | |||
}} | }} | ||
* [[Euclid number|Euclid]] | * [[Euclid number|Euclid]] | ||
| Line 245: | Line 234: | ||
* [[Erdős–Woods number|Erdős–Woods]] | * [[Erdős–Woods number|Erdős–Woods]] | ||
* [[Friendly number|Friendly]] | * [[Friendly number|Friendly]] | ||
| + | * [[Frugal number|Frugal]] | ||
* [[Giuga number|Giuga]] | * [[Giuga number|Giuga]] | ||
* [[Harmonic divisor number|Harmonic divisor]] | * [[Harmonic divisor number|Harmonic divisor]] | ||
| + | * [[Lucas–Carmichael number|Lucas–Carmichael]] | ||
| + | * [[Pronic number|Pronic]] | ||
* [[Regular number|Regular]] | * [[Regular number|Regular]] | ||
* [[Rough number|Rough]] | * [[Rough number|Rough]] | ||
* [[Smooth number|Smooth]] | * [[Smooth number|Smooth]] | ||
| + | * [[Sociable number|Sociable]] | ||
* [[Sphenic number|Sphenic]] | * [[Sphenic number|Sphenic]] | ||
* [[Størmer number|Størmer]] | * [[Størmer number|Størmer]] | ||
| Line 267: | Line 260: | ||
* [[Factorion]] | * [[Factorion]] | ||
* [[Friedman number|Friedman]] | * [[Friedman number|Friedman]] | ||
| − | |||
* [[Happy number|Happy]] | * [[Happy number|Happy]] | ||
* [[Harshad number|Harshad]] | * [[Harshad number|Harshad]] | ||
| Line 286: | Line 278: | ||
* [[Self-descriptive number|Self-descriptive]] | * [[Self-descriptive number|Self-descriptive]] | ||
* [[Smarandache–Wellin number|Smarandache–Wellin]] | * [[Smarandache–Wellin number|Smarandache–Wellin]] | ||
| − | |||
* [[Strictly non-palindromic number|Strictly non-palindromic]] | * [[Strictly non-palindromic number|Strictly non-palindromic]] | ||
* [[Strobogrammatic number|Strobogrammatic]] | * [[Strobogrammatic number|Strobogrammatic]] | ||
Revision as of 16:28, 21 April 2019
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See also
- {{Divisor classes}}
- {{Prime number classes}}
- {{Series (mathematics)}}
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