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The Whopper is equal to \( \underbrace{10\ \&\ 10\ \&\ 10\cdots10\ \&\ 10\ \&\ 10}_{\text{100 10's}} \) = \( \lbrace 10,100 / 2 \rbrace \) using the array of operator and BEAF.[1] The term was coined by Cookie Fonster. The number is named after the hamburger sold by Burger King.

Computation

The Whopper can be computed in the following process:

  • \(a_1=10\)
  • \(a_2=10\text{&}10=\lbrace10,10(1)2\rbrace\) (iteral)
  • \(a_3=10\text{&}10\text{&}10\) (lineatrix)
  • \(a_4=10\text{&}10\text{&}10\text{&}10\)
  • etc.
  • In general, \(a_{n+1} = a_n \text{&} 10\).
  • Then, the Whopper is equal to \(a_{100}\).

Approximations

Since it is not defined by now, the following approximation is just an expected value:

Notation Approximation
Bird's array notation \(\{10,10 [1 [1 \backslash_{98} 1,2 \backslash_{99} 2]_1 2] 2\}\)
Fast-growing hierarchy \(f_{\theta(\Omega_{98}^{\omega})}(100)\)

Sources

  1. Pointless Gigantic List of Numbers - Part 6: The Mighty RoyalsPointless Large Number Stuff. Retrieved 2017-06-05.

See also

Jonathan Bowers' array of series

Higher tetration level: Gotriplexulus · Goppatoth · Goppatothplex
Pentation level: Triakulus · Kungulus · Kungulusplex
Higher operation group: Quadrunculus · Tridecatrix · Humongulus
Lineational group: Tetdecatrix · Pendecatrix · Hexdecatrix · Hepdecatrix · Ocdecatrix · Endecatrix · Lineatrix · Lineatrixplex
Golapulus group: Golapulus · Golapulusplex · Dekulus
Cookie Fonster's extensions: Second Goppatoth · Gippatoth · Gappatoth · Geepatoth · Boppatoth · Troppatoth · Quadroppatoth · Humongulusplex · Tridecatrax · Tridecatreex · Tridecatrowx · Tridecatrux · Gonguldeus · Humingulus · Gongultreus · Humangulus · Gongulquadeus · Possible interpretation of tetrakulus · Humeengulus · Generatrix · Incredulus · Incridulus · Incradulus · Increedulus · Tercredulus · Tercridulus · Tercradulus · Tercreedulus · Pencredulus · Excredulus · Epcredulus · Ogcredulus · Goobawamba · Gibbawamba · Gabbawamba · Boobawamba · Troobawamba · Goobawantra · Emperatrix · Gossablossla · Hyperlatrix · Goobaduamba · Goobatriombia · Goobaquardimbia · Goobaquindingia · Goobasesixtia · Goobasebiptia · Goobagogdiktia · Goobanogdiktia · Xaplorgulus · Goobadektimtia · Goxxablorg · Gooxadworg · Goxxathrorg · Goxxaquorg · Cosslorgulus · Tesslorgulus · Pesslorgulus · Hesslorgulus · Zesslorgulus · Yosslorgulus · Brosslorgulus · Gosslorgulus · Mosslorgulus · Hasslorgulus · Kysslorgulus · Pisslorgulus · Sasslorgulus · Pexxlorgulus · Nisslorgulus · Zozzlorgulus · Ginglapulus · Ganglapulus · Geenglapulus · Bolapulus · Trolapulus · Goplapulus · Goduplapulus · Gotriplapulus · Hypertriakulus · Tetrakulus · Pentakulus · Hexakulus · Heptakulus · Oktakulus · Ennakulus · Big Mac · The Whopper

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