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Googology Wiki
 * Explore
    * Main Page
    * All Pages
    * Community
    * Interactive Maps
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 * Numbers
    * Full list
    * Sublists (small)
       * Class 0 and 1
       * Class 2
       * Class 3
       * Class 4
       * Class 5
       * Tetration level
       * Up-arrow notation level
       * Linear omega level
       * Quadratic omega level
       * Polynomial omega level
   
    * Sublists (large)
       * Exponentiated linear omega level
       * Exponentiated polynomial omega level
       * Double exponentiated polynomial omega level
       * Triple exponentiated polynomial omega level
       * Iterated Cantor normal form level
       * Epsilon level
       * Binary phi level
       * Bachmann's collapsing level
       * Higher computable level
       * Uncomputable numbers
   
    * All numbers
       * Googolty
       * Googolduplex
       * Googolilliard
       * Googoc
       * Million
       * Billion
       * Decker
   
    * Notable numbers
       * Googolplex
       * Googolduplex
       * Googoltriplex
       * Ackermann number
       * Thousand
       * Googolquadruplex
       * Super K
   
    * By Jonathan Bowers
       * Giggol
       * Giggolplex
       * Gaggol
       * Gaggolplex
       * Geegol
       * Geegolplex
       * Gigol
   
    * By Sbiis Saibian
       * Greagol
       * Gigangol
       * Gorgegol
       * Gulgol
       * Gugold
       * Gaspgol
       * Ginorgol

 * Concepts
    * List of functions
    * Functions
       * Gag
       * Tetration
       * Pentation
       * Expansion
       * Multiexpansion
       * Powerexpansion
       * Explosion
   
    * Notations
       * Ackermann's Generalized Exponential Notation
       * Chained arrow notation
       * Array notation
       * Steinhaus-Moser Notation
       * Joyce's More Generalized Exponential Notation
       * Array of
       * Extended Array Notation
   
    * Ordinals
       * Omega
       * Ε₀
       * Feferman–Schütte ordinal
       * Small Veblen ordinal
       * Large Veblen ordinal
       * Bachmann-Howard ordinal
       * Church-Kleene ordinal
   
    * Prefixes
       * Gar-
       * Fuga-
       * Megafuga-
       * Deca-
       * Hecto-
       * Kilo-
       * Mega-
   
    * Suffixes
       * -illion
       * -yllion
       * -ag
       * -plex
       * -ty
       * -gong
       * -teen

 * Top contents
    * Recent Changes
    * Popular articles
       * TREE sequence
       * Millillion
       * Googol
       * Bowers' Exploding Array Function
       * Centillion
       * Rayo's number
       * Graham's number
   
    * Most active users
       * Kyodaisuu
       * XRQ CORPORATION
       * Tamatak 'v chamatak ki
       * Azurgologist1
       * Chonkersalad
       * DeepLineMadom
       * MiTerSkyArk

 * Community
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Googology Wiki
 * Explore
    * Main Page
    * All Pages
    * Community
    * Interactive Maps
    * Recent Blog Posts

 * Numbers
    * Full list
    * Sublists (small)
       * Class 0 and 1
       * Class 2
       * Class 3
       * Class 4
       * Class 5
       * Tetration level
       * Up-arrow notation level
       * Linear omega level
       * Quadratic omega level
       * Polynomial omega level
   
    * Sublists (large)
       * Exponentiated linear omega level
       * Exponentiated polynomial omega level
       * Double exponentiated polynomial omega level
       * Triple exponentiated polynomial omega level
       * Iterated Cantor normal form level
       * Epsilon level
       * Binary phi level
       * Bachmann's collapsing level
       * Higher computable level
       * Uncomputable numbers
   
    * All numbers
       * Googolty
       * Googolduplex
       * Googolilliard
       * Googoc
       * Million
       * Billion
       * Decker
   
    * Notable numbers
       * Googolplex
       * Googolduplex
       * Googoltriplex
       * Ackermann number
       * Thousand
       * Googolquadruplex
       * Super K
   
    * By Jonathan Bowers
       * Giggol
       * Giggolplex
       * Gaggol
       * Gaggolplex
       * Geegol
       * Geegolplex
       * Gigol
   
    * By Sbiis Saibian
       * Greagol
       * Gigangol
       * Gorgegol
       * Gulgol
       * Gugold
       * Gaspgol
       * Ginorgol

 * Concepts
    * List of functions
    * Functions
       * Gag
       * Tetration
       * Pentation
       * Expansion
       * Multiexpansion
       * Powerexpansion
       * Explosion
   
    * Notations
       * Ackermann's Generalized Exponential Notation
       * Chained arrow notation
       * Array notation
       * Steinhaus-Moser Notation
       * Joyce's More Generalized Exponential Notation
       * Array of
       * Extended Array Notation
   
    * Ordinals
       * Omega
       * Ε₀
       * Feferman–Schütte ordinal
       * Small Veblen ordinal
       * Large Veblen ordinal
       * Bachmann-Howard ordinal
       * Church-Kleene ordinal
   
    * Prefixes
       * Gar-
       * Fuga-
       * Megafuga-
       * Deca-
       * Hecto-
       * Kilo-
       * Mega-
   
    * Suffixes
       * -illion
       * -yllion
       * -ag
       * -plex
       * -ty
       * -gong
       * -teen

 * Top contents
    * Recent Changes
    * Popular articles
       * TREE sequence
       * Millillion
       * Googol
       * Bowers' Exploding Array Function
       * Centillion
       * Rayo's number
       * Graham's number
   
    * Most active users
       * Kyodaisuu
       * XRQ CORPORATION
       * Tamatak 'v chamatak ki
       * Azurgologist1
       * Chonkersalad
       * DeepLineMadom
       * MiTerSkyArk

 * Community
    * Recent blog posts
    * Create a blog post
    * Social activity
    * Forum



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Googology Wiki
21,332
pages

 * Explore
    * Main Page
    * All Pages
    * Community
    * Interactive Maps
    * Recent Blog Posts

 * Numbers
    * Full list
    * Sublists (small)
       * Class 0 and 1
       * Class 2
       * Class 3
       * Class 4
       * Class 5
       * Tetration level
       * Up-arrow notation level
       * Linear omega level
       * Quadratic omega level
       * Polynomial omega level
   
    * Sublists (large)
       * Exponentiated linear omega level
       * Exponentiated polynomial omega level
       * Double exponentiated polynomial omega level
       * Triple exponentiated polynomial omega level
       * Iterated Cantor normal form level
       * Epsilon level
       * Binary phi level
       * Bachmann's collapsing level
       * Higher computable level
       * Uncomputable numbers
   
    * All numbers
       * Googolty
       * Googolduplex
       * Googolilliard
       * Googoc
       * Million
       * Billion
       * Decker
   
    * Notable numbers
       * Googolplex
       * Googolduplex
       * Googoltriplex
       * Ackermann number
       * Thousand
       * Googolquadruplex
       * Super K
   
    * By Jonathan Bowers
       * Giggol
       * Giggolplex
       * Gaggol
       * Gaggolplex
       * Geegol
       * Geegolplex
       * Gigol
   
    * By Sbiis Saibian
       * Greagol
       * Gigangol
       * Gorgegol
       * Gulgol
       * Gugold
       * Gaspgol
       * Ginorgol

 * Concepts
    * List of functions
    * Functions
       * Gag
       * Tetration
       * Pentation
       * Expansion
       * Multiexpansion
       * Powerexpansion
       * Explosion
   
    * Notations
       * Ackermann's Generalized Exponential Notation
       * Chained arrow notation
       * Array notation
       * Steinhaus-Moser Notation
       * Joyce's More Generalized Exponential Notation
       * Array of
       * Extended Array Notation
   
    * Ordinals
       * Omega
       * Ε₀
       * Feferman–Schütte ordinal
       * Small Veblen ordinal
       * Large Veblen ordinal
       * Bachmann-Howard ordinal
       * Church-Kleene ordinal
   
    * Prefixes
       * Gar-
       * Fuga-
       * Megafuga-
       * Deca-
       * Hecto-
       * Kilo-
       * Mega-
   
    * Suffixes
       * -illion
       * -yllion
       * -ag
       * -plex
       * -ty
       * -gong
       * -teen

 * Top contents
    * Recent Changes
    * Popular articles
       * TREE sequence
       * Millillion
       * Googol
       * Bowers' Exploding Array Function
       * Centillion
       * Rayo's number
       * Graham's number
   
    * Most active users
       * Kyodaisuu
       * XRQ CORPORATION
       * Tamatak 'v chamatak ki
       * Azurgologist1
       * Chonkersalad
       * DeepLineMadom
       * MiTerSkyArk

 * Community
    * Recent blog posts
    * Create a blog post
    * Social activity
    * Forum

English
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HOME

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 * Talk (171)




Googology Wiki is an online encyclopedia and community dedicated to large
numbers.

Welcome to the Internet's most comprehensive database of large numbers and
fast-growing functions. We have made 21,332 articles since December 5, 2008. If
you're fascinated by numbers like titanicol or hyper-hyper-terinnhathordeus, why
not help us out? We encourage you to edit! As of December 5, 2024, Googology
Wiki is now 16 years old and going strong!

(Googology in other languages: Česky · Deutsch · Español · Français · 日本語 ·
Nederlands · Русский · 한국어 · 中文 · Українська



NEW TO BIG NUMBERS?

Googology is the mathematical study of large numbers and fast-growing functions,
as well as their properties and nomenclature. If you're interested in the
subject, but you don't know where to start, try reading about some basic
functions and ideas:

 * Short essay on the foundations and history of the field
 * Googol and googolplex
 * Tetration
 * Arrow notation
 * Graham's number
 * Introduction to Googology blog post by Sbiis Saibian
 * List of googolisms and functions

Also, be sure to check out the links below.

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AROUND THE WIKI

 * About
 * Policy · Guidelines
 * Discussion
 * People
 * New pages · New images
 * Recent changes · Social activity
 * Help desk · Explore Fandom


ARTICLE COUNT PROGRESS

We have reached 0% of our goal of 10100 articles!


QUOTE

Large Numbers have done vastly more to make infinity seem large than infinity
has ever done to make large numbers seem small.
  —Sbiis Saibian[src]





CONTRIBUTING

Got an idea or a creation to share? Create an account on Fandom if you haven't
already, wait for being autoconfirmed and create a blog post.

Please read carefully FANDOM's terms of use and the policy before creating or
editing an article. See community portal for more information.


GOOGOLNEWS ™

 * December 5, 2024: Googology Wiki turned 16 years old!
 * November 29, 2024 We reached the 21,000-th article!
 * November 17, 2024: Polish Googology Wiki
   https://googologia-po-polsku.fandom.com/pl/wiki/Googologia_Po_Polsku_Wiki has
   been launched on fandom.
 * October 28, 2024: A Russian court ordered Google to pay compensation to
   blocked Russian state TV channels, amounting to 2 undecillion rubles.
 * October 21, 2024: The new largest known prime, 2136,279,841-1 was discovered
   after nearly 6 years!
 * July 2, 2024: FF(5) or S(5) = 47,176,870 was proved.
 * June 7, 2024: This is a SUPER MILESTONE!!! We finally reached our 20,000th
   article!!!
 * May 5, 2024: We finally reached our 19,000-th article!
 * January 1, 2024: Happy New Year, 2024!

More news...


LINKS

This is a compilation of websites that may be of interest to large number
enthusiasts.

For beginners
 * What is googology? Genspark (AI) collected and summarized information on
   googology. Recommended for beginners to get some background information.
 * Large numbers increasing Douglas Shamlin Jr.'s video series about increasing
   numbers. It goes from zero to numbers described using Bird's array notation.
   Recommended for beginners.
 * One to Infinity: A Guide to the Finite by Sbiis Saibian/(user), a guided tour
   of googology and number systems. Recommended for beginners.
 * Large Numbers by Robert Munafo. Recommended for beginners.

Sites
 * Aarex Googology by Aarex Tiaokhiao/(user (inactive))
 * Big Number Central by Jonathan Bowers
 * Notable Properties of Specific Numbers by Robert Munafo
 * Super Huge Numbers (main site) by Chris Bird
 * Pointless Large Number Stuff by wiki user cookiefonster
 * Big Number Duel by Agustín Rayo
 * Hayden's Big Numbers by wiki user HaydenTheGoogologist2009
 * Pointless Googolplex Stuffs and ExE ultimate googolism generator by wiki user
   DeepLineMadom
 * AR Googol by wiki user ARsygo
 * Who Can Name the Bigger Number? by Scott Aaronson
 * Turing Machine Simulator by Anthony Morphett
 * CompactStar's Googology by wiki user CompactStar

 * Impossible Numbers by wiki user Antfarmerguys

Subreddits
 * r/googology
 * r/Scholar

Ordinals
 * Ordinal Explorer by wiki user Rgetar
 * An interactive diagram for ordinals up to εε0

Non-wiki googology links in other languages
 * 大数入门 for those who know Chinese. Beware though, the article contains tons of
   mistakes.
 * Large Number in pixiv dictionary for those who know Japanese.

Miscellany
 * Googol Maps 2.0 (year - size) by wiki user Koteitan













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