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
- \(f(3)=100^{100^{\vdots^{100^{100}}}}\) with f(2) 100's
- \(f(4)=100^{100^{\vdots^{100^{100}}}}\) with f(3) 100's
- etc.
- Boogahundred equals \(f^{99}(100)\).
Approximation[]
| Notation | Approximation |
|---|---|
| Arrow notation | \(100\uparrow^{98}100\) |
| Fast-growing hierarchy | \(f_{99}(100)\) |
| Hardy hierarchy | \(H_{\omega^{99}}(100)\) |
| Slow-growing hierarchy | \(g_{\varphi(97,0)}(100)\) |
| Strong array notation | s(100,100,98) |
| Bowers Exploding Array Function | \(\{ 100, 100, 98\}\) |
| Bird's array notation | \(\{ 100, 100, 98\}\) |
| Chained arrow notation | \(100\rightarrow100\rightarrow98\) |
Sources[]
See also[]
Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · garmillion · gargoogol · gareceton · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzthirty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex · megafugagrangol
Extensions:
Booga-:: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten · boogahundred · boogagoogol · boogagoogolplex
Gag-:: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex