Wikipedia:WikiProject Numbers

This WikiProject is aimed at improving editing practice on articles devoted to numbers. General guideline advise is given throughout to assist in creating and improving these articles.

Overview of the Project

Currently, there are continuous individual articles created for integers ranging from −1 to 313 (number).

300 (number) is the first article to specifically detail information for one hundred integers in one page.
From 300 (number) to 1000 (number), articles contain information for individual integers in ranges of hundreds.
From 1000 (number) to 10000 (number), information is grouped in ranges of thousands.
From 10000 (number) to 100000 (number), articles cover information on integers in ranges of ten thousands.
From 100000 (number) through 1,000,000,000, articles are grouped in ranges of increments of powers of ten (up to 1,000,000,000).

There are also select article entries linked to individual articles within these ranges. Some articles are devoted to integers in ranges greater than 10⁹.

Navigation bars inside Number Infoboxes for articles on numbers have been added with the follow functionality:

Increments of 1 for all numbers between −1 and 313.
Increments of 10 from 0 through 270 (to be made continuous with the span of consecutive articles).
Increments of 100 from 0 through 1000 (starting at 100), of 1000 between 1000-9000, and of 10000 between 10000-90000.
Increments by factors of 10¹ between 10⁰ and 10⁹ (i.e. 10⁰, 10¹, 10², ... 10⁹ with links starting at 10⁵).

Articles after 10 are named, for the most part, $N (number)$ . Regarding the status of disambiguation pages,

11 is a disambiguation page linking to 11 (number), other articles. Similarly for 12 through 99, inclusive.
100 (disambiguation) links to 100 (number page), and other articles.
101 is a disambiguation page linking to 101 (number), and other articles, as with 102 to 150, inclusive.

The next disambiguation number page is 163 (disambiguation), linking to 163 (number) and other articles.

Progress

The following is the status of the project as of January, 2023.

Priority of mathematics articles

Following the level of priority set by WikiProject Mathematics:

Top-priority

There are four main top-priority mathematics number articles:

Integers: 0 and 1.
Constants: π and $e$

Currently, articles for 0 and 1 are well-written within their respective mathematics sections, however they are not generally referenced (even though they contain due links, they could use primary sourcing where possible, even when generalizing). The article for π is a featured article, and the article for $e$ is a good article.

High-priority

Another fourteen relevant mathematics number articles are categorized as high-priority:

Integers: −1, 1⁄2, 2, 3, 4, 5, 6, 7, 8, 9, and 10, as well as 1000.
Constants: $i$ and φ

These have all recently been improved (2022-).

Mid-priority

At least four relevant mid-priority mathematical article are listed:

0.999... which has featured status.
Constants: $\sqrt 2$ , $\sqrt 3$ , $\sqrt 5$

Low-priority

Articles that are listed as low-priority include:

Integers: 261 and 666, as well as 2,147,483,647 and 4,294,967,295
Constants: δ_s, $\sqrt 7$

Methodical priority assignments to integer number articles have not really taken place, which is something that could be further investigated. For example, 24 (number) could be elevated to mid-priority, given the many important geometric and algebraic properties ligated to it. 12 is another such candidate.

Resources

Essays

Lists

List of numbers
List of prime numbers
List of mathematics articles (0–9) containing all mathematics articles starting with a number.
List of natural number articles containing all natural number articles from 1 to 10,000, including red links.
For up-to-date and automatically updated list of articles for deletion, see Category:AfD debates subsection 0–9.

Talk

To add a message of this project to talk pages of number articles, use Template:NumberTalk that can be displayed with {{WikiProject Numbers}}. For some of the following talk pages that include it, see what links here.

Numbers

This article is within the scope of WikiProject Numbers, a collaborative effort to improve the coverage of Numbers on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.NumbersWikipedia:WikiProject NumbersTemplate:WikiProject NumbersNumbers articles

External links

numbertheory.org – lists of important contributions, number theorists, and concepts of interest

v t e Fractions and ratios
	Division and ratio	Dividend ÷ Divisor = Quotient
	Fraction	⁠Numerator/Denominator⁠ = Quotient
	Algebraic Aspect Binary Continued Decimal Dyadic Egyptian Golden Silver Integer Irreducible Reduction Just intonation LCD Musical interval Paper size Percentage Unit

v t e Infinity ( $\infty$ )
History	Ananta (infinite) Apeiron Controversy over Cantor's theory Galileo's paradox Hilbert's paradox of the Grand Hotel Infinity (philosophy) Paradoxes of infinity Paradoxes of set theory
Branches of mathematics	Complex analysis Internal set theory Nonstandard analysis Set theory Synthetic differential geometry
Formalizations of infinity	0.999... Absolute infinite Actual infinity Aleph number Beth number Cardinal numbers Cardinality of the continuum Dedekind-infinite set Directed infinity Division by zero (Complex infinity) Epsilon number Gimel function Hilbert space Hyperreal numbers Infinite set Infinitesimal Ordinal numbers Point at infinity Regular cardinal Sphere at infinity (Kleinian group) Supertask Surreal numbers Transfinite numbers
Geometries	Differential geometry of surfaces Möbius plane Möbius transformation Riemannian manifold
Mathematicians	Georg Cantor David Hilbert Gottfried Wilhelm Leibniz August Ferdinand Möbius Bernhard Riemann Abraham Robinson

v t e Number systems
Sets of definable numbers	Natural numbers ( $\mathbb {N}$ ) Integers ( $\mathbb {Z}$ ) Rational numbers ( $\mathbb {Q}$ ) Constructible numbers Algebraic numbers ( $\mathbb {A}$ ) Closed-form numbers Periods Computable numbers Arithmetical numbers Set-theoretically definable numbers Gaussian integers Gaussian rationals Eisenstein integers
Composition algebras	Division algebras: Real numbers ( $\mathbb {R}$ ) Complex numbers ( $\mathbb {C}$ ) Quaternions ( $\mathbb {H}$ ) Octonions ( $\mathbb {O}$ )
Split types	Over $\mathbb {R}$ : Split-complex numbers Split-quaternions Split-octonions Over $\mathbb {C}$ : Bicomplex numbers Biquaternions Bioctonions
Other hypercomplex	Dual numbers Dual quaternions Dual-complex numbers Hyperbolic quaternions Sedenions ( $\mathbb {S}$ ) Split-biquaternions Multicomplex numbers Geometric algebra/Clifford algebra Algebra of physical space Spacetime algebra Plane-based geometric algebra
Infinities and infinitesimals	Cardinal numbers Extended natural numbers Extended real numbers Projective Extended complex numbers Hyperreal numbers Levi-Civita field Ordinal numbers Supernatural numbers Surreal numbers Superreal numbers
Other types	Irrational numbers Fuzzy numbers Transcendental numbers p-adic numbers (p-adic solenoids) Profinite integers Normal numbers
Classification List

v t e Number theory
Fields	Algebraic number theory (class field theory, non-abelian class field theory, Iwasawa theory, Iwasawa–Tate theory, Kummer theory) Analytic number theory (analytic theory of L-functions, probabilistic number theory, sieve theory) Geometric number theory Computational number theory Transcendental number theory Diophantine geometry (Arakelov theory, Hodge–Arakelov theory) Arithmetic combinatorics (additive number theory) Arithmetic geometry (anabelian geometry, P-adic Hodge theory) Arithmetic topology Arithmetic dynamics
Key concepts	Numbers 0 Natural numbers Unity Prime numbers Composite numbers Rational numbers Irrational numbers Algebraic numbers Transcendental numbers P-adic numbers (P-adic analysis) Arithmetic Modular arithmetic Chinese remainder theorem Arithmetic functions
Advanced concepts	Quadratic forms Modular forms L-functions Diophantine equations Diophantine approximation Continued fractions
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