A fzgargoogolplex is equal to \(\text{gargoogolplex}^{\text{gargoogolplex}} = (10^{2×10^{100}})^{10^{2×10^{100}}} = (10^{10^{100 + L} × 10^{10^{100 + L}}}) = 10^{10^{100 + L + 10^{100 + L}}}\) where \(L = \log_{10}(2)\). This number is not one of the three fz- numbers given as examples by Alistair Cockburn. [1]
This number is extremely close to fzgoogolplex and googolplexian, the largest of Cockburn's three fz- numbers he gave out as an example. In particular, the triple exponent of fzgargoogolplex differs by that of fzgoogolplex by \(\log(\frac{2×10^{100} + 100 + \log 2}{2×10^{100}})\), which is only 21.780 googolths.
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| Arrow notation | \(\text{googolduplex}\uparrow{\text{googolduplex}}\) |
| Fast-growing hierarchy | \(f^4_2(326)\) |
Sources[]
See also[]
- (mega)Fugagoogolplex, which he noted his son, Kieran, might ignore.
- (mega)Fugagargoogolplex
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