Grand throogol is equal to E100###100#2 = E100###throogol using Extended Hyper-E notation.[1] The term was coined by Sbiis Saibian. This number is comparable with Bowers' troogolplex.
Aarex Tiaokhiao gave the name grandogoogolgrandoplex, referring to the value of this number.[2]
Approximations in other notations
| Notation | Approximation |
|---|---|
| BEAF | \(\{100,101,99,\{100,101,99,99\}\}\) |
| Chained arrow notation | \(100 \rightarrow_2 (100 \rightarrow_2 100)\) |
| X-Sequence Hyper-Exponential Notation | \(100\{X^2\}100\{X^2\}100\) |
| Fast-growing hierarchy | \(f_{\omega^2}(f_{\omega^2}(100))\) |
| Hardy hierarchy | \(H_{(\omega^{\omega^2}) 2}(100)\) |
| Slow-growing hierarchy | \(g_{\varphi(\varphi(99,99,0),99,0)}(100)\) |
Sources
See also
Hyper-E series: Googolmine · Googoltrine · Googolquadrine · Googolpleximine · Googolplexitrine · Googoldupleximine · Googoltripleximine · Googolquadripleximine · Powergolmine · Enneowergol · Enneowergolennex · Decowergol · Decowergoldecex
Extended Hyper-E series: Gooemeralnona · Gooemeraldeca · Gooemeralelevened · Gooemeraldozed · Grandogoogolplex · Grandogoogoldex · Grandogoogolsuplex · Grandogoogolsusuplex · Grandogoogoltetrasuplex · Grandogoogolgrandoplex · Giyottatogoogol · Ginovatogoogol · Gitenatogoogol · Gitenakilotogoogol
Nested Hyper-E series: Triabiogodgahlah · Triabiobodgahlah · Triatriogodgahlah · Tetrabiogodgahlah · Tetrabiotriabiogodgahlah · Pentabiogodgahlah · Hexabiogodgahlah · Megogodgahlah · Megunogodgahlah · Megbiogodgahlah · Biomegogodgahlah · Biomegunogodgahlah · Biomegbiogodgahlah · Triomegogodgahlah · Gigogodgahlah · Terogodgahlah · Omegogodgahlah
