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The gruelohgold regiment is a series of numbers from E100##100#100#100#100#100#100 to E100,000##100,000#100,000#100,000#100,000#100,000#100,000#3 defined using Extended Hyper-E Notation (i.e. beginning from gruelohgold and up to gruelohgolda-dusuhexigong).[1][2] The numbers were coined by Sbiis Saibian.

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Golaagold regiment Gaspgold regiment

List of numbers of the regiment Edit

Name of number Extended Hyper-E Notation (exact equality) Fast-growing hierarchy (approximation)
gruelohgold E100##100#100#100#100#100#100 \(f_{\omega+5}(100)\)
gruelohgolda-suhex E100##100#100#100#100#100#100#2 \(f_{\omega+5}^2(100)\)
gruelohgolda-dusuhex E100##100#100#100#100#100#100#3 \(f_{\omega+5}^3(100)\)
gruelohgoldachime E1000##1000#1000#1000#1000#1000#1000 \(f_{\omega+5}(1000)\)
gruelohgolda-suhexichime E1000##1000#1000#1000#1000#1000#1000#2 \(f_{\omega+5}^2(1000)\)
gruelohgolda-dusuhexichime E1000##1000#1000#1000#1000#1000#1000#3 \(f_{\omega+5}^3(1000)\)
gruelohgoldatoll E10,000##10,000#10,000#10,000#10,000#10,000#10,000 \(f_{\omega+5}(10000)\)
gruelohgolda-suhexitoll E10,000##10,000#10,000#10,000#10,000#10,000#10,000#2 \(f_{\omega+5}^2(10000)\)
gruelohgolda-dusuhexitoll E10,000##10,000#10,000#10,000#10,000#10,000#10,000#3 \(f_{\omega+5}^3(10000)\)
gruelohgoldagong E100,000##100,000#100,000#100,000#100,000#100,000#100,000 \(f_{\omega+5}(100000)\)
gruelohgolda-suhexigong E100,000##100,000#100,000#100,000#100,000#100,000#100,000#2 \(f_{\omega+5}^2(100000)\)
gruelohgolda-dusuhexigong E100,000##100,000#100,000#100,000#100,000#100,000#100,000#3 \(f_{\omega+5}^3(100000)\)

Sources Edit

  1. Saibian, Sbiis. Extended Hyper-E Numbers. Retrieved 2017-09-11.
  2. Sbiis Saibian's Ultimate Large Numbers List - Part I
Saibian's regiments

Hyper-E Regiments: Guppy regiment · Grangol regiment · Greagol regiment · Gigangol regiment · Gorgegol regiment · Gulgol regiment · Gaspgol regiment · Ginorgol regiment · Gargantuul regiment · Googondol regiment
Extended Hyper-E Regiments: Gugold regiment · Graatagold regiment · Greegold regiment · Grinningold regiment · Golaagold regiment · Gruelohgold regiment · Gaspgold regiment · Ginorgold regiment · Gargantuuld regiment · Googondold regiment · Gugolthra regiment · Throogol regiment · Tetroogol regiment · Pentoogol regiment · Hexoogol regiment · Heptoogol regiment · Ogdoogol regiment · Entoogol regiment · Dektoogol regiment
Cascading-E Regiments: Godgahlah regiment · Gridgahlah regiment · Kubikahlah regiment · Quarticahlah regiment · Quinticahlah regiment · Sexticahlah regiment · Septicahlah regiment · Octicahlah regiment · Nonicahlah regiment · Decicahlah regiment · Godgathor regiment · Gralgathor regiment · Thraelgathor regiment · Terinngathor regiment · Pentaelgathor regiment · Hexaelgathor regiment · Heptaelgathor regiment · Octaelgathor regiment · Ennaelgathor regiment · Dekaelgathor regiment · Godtothol regiment · Godtertol regiment · Godtopol regiment · Godhathor regiment · Godheptol regiment · Godoctol regiment · Godentol regiment · Goddekathol regiment
Extended Cascading-E Regiments: Tethrathoth regiment · Monster-Giant Regiment · Tethriterator regiment · Tethracross regiment · Tethracubor regiment · Tethrateron regiment · Tethrapeton regiment · Tethrahexon regiment · Tethrahepton regiment · Tethra-ogdon regiment · Tethraennon Regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentaccthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptathulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment

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