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Googology Wiki
Googology Wiki is an online encyclopedia and community dedicated to large numbers. Welcome to the Internet's most comprehensive database of large numbers and fastgrowing functions. We have made 11,342 articles since December 
Buchholz's function
Buchholz's psi functions are ordinal collapsing functions created by German mathematician Wilfried Buchholz. Although there are many different Buchholz's psi functions, e.g. JägerBuchholz function, this article explains the most wellknown 
List of googolisms/Linear omega level
List of googolisms Class 0 and 1, Class 2, Class 3, Class 4, Class 5, Tetration level, Uparrow notation level, Linear omega level, Quadratic omega level, Polynomial omega level, Exponentiated linear omega level, Exponentiated 
List of googolisms/Uparrow notation level
List of googolisms Class 0 and 1, Class 2, Class 3, Class 4, Class 5, Tetration level, Uparrow notation level, Linear omega level, Quadratic omega level, Polynomial omega level, Exponentiated linear omega level, Exponentiated 
List of googolisms/Class 2
List of googolisms Class 0 and 1, Class 2, Class 3, Class 4, Class 5, Tetration level, Uparrow notation level, Linear omega level, Quadratic omega level, Polynomial omega level, Exponentiated linear omega level, Exponentiated 
Rayo's number
Rayo's number is one of the largest named numbers, coined in a large number battle pitting Agustín Rayo against Adam Elga on 26 January 2007. Rayo's number is, in Rayo's own words 
Myrillion
The myrillion (also called decimillillion or decmillillion) is equal to\(10^{30,003}\) in short scale, and\(10^{60,000}\) in long scale..It is the 10000th illion in both scales. The term was coined 
Millillion
A millillion (alternately millinillion, milliatillion or milletillion ) is equal to 10 in the short scale, or 10 in the long scale (this number is also called Platillion). It is made by combining "mille" (1,000 
Boogol
The boogol is equal to\(\{10,10,100\}\) in BEAF. It is equal to\(10\underbrace{\uparrow\uparrow\cdots\uparrow\uparrow}_{100}10= 10\uparrow^{100} 10\) in uparrow notation. The term was coined 
Giggol
Giggol is equal to\(\lbrace10,100,2\rbrace\) in BEAF, or 10 tetrated to 100. Thus, it's 10= 10, where there are 100 tens. The term was coined by Jonathan Bowers. The Megafugahundred can 
Minnow
Minnow (also called gobyspeck) is equal to 10= E25= 10,000,000,000,000,000,000,000,000. It is equal to 10 septillion in the short scale and 10 quadrillion in the long scale 
Googolplex
Googolplex is a large number equal to 10= 10 or one followed by a googol (10) zeroes. Milton Sirotta originally defined it as "one, followed by writing zeroes until you get tired". Edward Kasner, unsatisfied 
Googol
Googol is a very wellknown large number, equal to 10 or 1 followed by 100 zeroes. It is also called "ten duotrigintillion" using the short scale. Coined in the year 1920, it has become 
Centimillillion
Centimillillion (also called decimyrillion or cenmillillion or decamyrillion or centomillillion) is equal to\(10^{300,003}\) in short scale. It is equal to\(10^{600,000}\) in long scale. The number was yet coined by 
Blasphemorgulus regiment
The blasphemorgulus regiment is a hypothetical series of numbers from E100#{10}#100 to??? defined using HyperExtended CascadingE notation, HyperHyperExtended CascadingE notation and SolidusExtended CascadingE notation. The numbers 
Fastgrowing hierarchy
The fastgrowing hierarchy (FGH for short) is a certain hierarchy mapping ordinals\(\alpha\) (below the supremum\(\mu\) of a fixed system of fundamental sequences) to functions\(f_\alpha:\mathbb{N}\rightarrow\mathbb{N}\). For 
Guppy regiment
The guppy regiment is a series of 504 numbers ranging from small numbers to tetrational growth rate defined using HyperE Notation. The numbers were coined by Sbiis Saibian. Saibian's regiments HyperE regiments 
Gargoogolplexed
Gargoogolplexed is equal to 10, or 10 to the power of gargoogol. It is equal to 1 with 100 quinsexagintillion zeros, which is 10+1 digits long. When evaluating gargoogolplex, the plex suffix is 
List of googolisms
List of googolisms Class 0 and 1, Class 2, Class 3, Class 4, Class 5, Tetration level, Uparrow notation level, Linear omega level, Quadratic omega level, Polynomial omega level, Exponentiated linear omega level, Exponentiated 
Busy beaver function
The busy beaver function (a.k.a. BB function or Radó's sigma function, denoted\(\Sigma(n)\) or\(\text{BB}(n)\)), is a distinctive fastgrowing function from computability theory. It is the most well 
List of googolisms/Iterated Cantor normal form level
List of googolisms Class 0 and 1, Class 2, Class 3, Class 4, Class 5, Tetration level, Uparrow notation level, Linear omega level, Quadratic omega level, Polynomial omega level, Exponentiated linear omega level, Exponentiated 
List of googolisms/Bachmann's collapsing level
List of googolisms Class 0 and 1, Class 2, Class 3, Class 4, Class 5, Tetration level, Uparrow notation level, Linear omega level, Quadratic omega level, Polynomial omega level, Exponentiated linear omega level, Exponentiated 
Tetration
Tetration, also known as hyper4, superpower, superexponentiation, superdegree, powerlog, or power tower, is a binary mathematical operator (that is to say, one with just two inputs), defined as\(^yx= x^{x^{x^{\cdot^{\cdot^{\cdot 
Introduction to BEAF
BEAF, or Bowers Exploding Array Function, is a googological function invented by Jonathan Bowers. This article is a walkthrough gradually introducing the function, meant to give an intuitive sense of how it works. Before we 
Gugolthra regiment
The gugolthra regiment is a series of numbers from E100##100##100 to E100###10#2 defined using Extended HyperE Notation (i.e. beginning from gugolthra and up to great gugoldeka). The numbers were
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