Megafugafive is equal to \(5\uparrow\uparrow5\).[1] It is approximately equal to \(10^{10^{10^{2,184}}}\) or \(E2,184\#3\) in Hyper-E notation.
Googology Wiki user Hyp cos calls this number pentbo, and it's equal to s(5,5,2) in strong array notation.[2]
This number is also equal to s(5,2,3), s(5,2,1,2), and s(5,2{2}2).
Googology Wiki user DeepLineMadom calls this number quinary-pentalogue.[3]
Etymology[]
The name "megafugafive" is formed by adding the megafuga- prefix to 5.
The name "pentbo" is based on the word "penta" (Greek for five), meaning a base-5 number.
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| Bowers' Exploding Array Function | \(\{5,5,2\}\) (exact) |
| Chained arrow notation | \(5\rightarrow5\rightarrow2\) (exact) |
| Hyper-E notation | \(E(5)1\#5\) (exact) |
| Hyperfactorial array notation | \(((870!)!)!\) |
| Scientific notation | \(10^{10^{1.33574\times10^{2,184}}}\) |
| Fast-growing hierarchy | \(f_2(f_2(f_2(f_2(9))))\) |
| Hardy hierarchy | \(H_{\omega^24}(9)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_0}(5)\) (exact) |
Sources[]
- ↑ Large Numbers - 3.2.2. Retrieved 2023-10-29.
- ↑ Numbers from linear array notation | Steps Toward Infinity!
- ↑ ExE ultimate googolism generator - E5 - Greagol regiment. Retrieved 2023-10-29.
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