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The 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 Edit

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 \(g_{\varphi(99,\varphi(99,99,0),0)}(100)\)

Sources Edit

  1. Sbiis Saibian, Extended Hyper-E Numbers - Large Numbers
  2. Aarex Tiaokhiao's large numbers site

See alsoEdit

Aarex Tiaokhiao's Hyper-E series

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