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Boogahundred is equal to 100↑98100, or 100 hectated to 100. The name is created by adding the booga-[1] prefix to 100.

Computation

Boogahundred can be computed in the following process:

  • \(f(1)=100\)
  • \(f(2)=100^{100^{\vdots^{100^100}}}\) with f(1) 100's. Megafugahundred
  • \(f(3)=100^{ {100^{.^{.^{.^{ {100^100}}}}}}\) with f(2) 100's
  • \(f(4)=100^{100^{\vdots^{100^100}}}\) with f(3) 100's
  • etc.
  • Boogahundred equals \(f^{ 100-1 }(100)\).

Approximation

Notation Approximation
Arrow notation \(100\uparrow^{ 100-2 }100\)
Fast-growing hierarchy \(f_{ (100-1) }(100)\)
Hardy hierarchy \(H_{\omega^{ 100-1 }}(100)\)
Slow-growing hierarchy \(g_{\varphi((100-3),0)}(100)\)
Strong array notation s(100,100,(100-2))
Bowers Exploding Array Function \(\{ 100, 100, (100-2)\}\)
Bird's array notation \(\{ 100, 100, (100-2)\}\)
Chained arrow notation \(100\rightarrow100\rightarrow (100-2)\)

Sources

See also

Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · gargoogol · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgargantugoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugaeleven · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagargantugoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugaeleven · megafugatwelve · megafugathirteen · megafugafourteen · megafugafifteen · megafugasixteen · megafugaseventeen · megafugaeighteen · megafuganineteen · megafugatwenty · megafugathirty · megafugaforty · megafugafifty · megafugasixty · megafugaseventy · megafugaeighty · megafuganinety · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex
Booga-: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten boogahundred · boogagoogol · boogagoogolplex
Gag: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex

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