The hexoogol regiment is a series of numbers from E100######100 to E100#^(7)10 defined using Extended Hyper-E Notation (i.e. beginning from hexoogol and up to hexoodekol).[1][2] The numbers were coined by Sbiis Saibian.
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Pentoogol regiment | Heptoogol regiment |
List of numbers of the regiment[]
Name of number | Extended Hyper-E Notation (definition) | Fast-growing hierarchy (approximation) |
hexoogol | E100######100 | \(f_{\omega^5}(100)\) |
grand hexoogol | E100######100#2 | \(f_{\omega^5}^2(100)\) |
hexangol | E100#^(6)100#100 | \(f_{\omega^5+1}(100)\) |
hexeagol | E100#^(6)100#100#100 | \(f_{\omega^5+2}(100)\) |
hexigangol | E100#^(6)100#100#100#100 | \(f_{\omega^5+3}(100)\) |
hexorgegol | E100#^(6)100##5 | \(f_{\omega^5+4}(100)\) |
hexulgol | E100#^(6)100##6 | \(f_{\omega^5+5}(100)\) |
hexaspgol | E100#^(6)100##7 | \(f_{\omega^5+6}(100)\) |
hexinorgol | E100#^(6)100##8 | \(f_{\omega^5+7}(100)\) |
hexargantuul | E100#^(6)100##9 | \(f_{\omega^5+8}(100)\) |
hexoogondol | E100#^(6)100##10 | \(f_{\omega^5+9}(100)\) |
hexugold | E100#^(6)100##100 | \(f_{\omega^5+99}(100)\) |
hexaatagold | E100#^(6)100##100##2 | \(f_{\omega^5+\omega+1}(100)\) |
hexeegold | E100#^(6)100##100##3 | \(f_{\omega^5+\omega+2}(100)\) |
hexinningold | E100#^(6)100##100##4 | \(f_{\omega^5+\omega+3}(100)\) |
hexolaagold | E100#^(6)100##100##5 | \(f_{\omega^5+\omega+4}(100)\) |
hexuelohgold | E100#^(6)100##100##6 | \(f_{\omega^5+\omega+5}(100)\) |
hexaspgold | E100#^(6)100##100##7 | \(f_{\omega^5+\omega+6}(100)\) |
hexinorgold | E100#^(6)100##100##8 | \(f_{\omega^5+\omega+7}(100)\) |
hexargantuuld | E100#^(6)100##100##9 | \(f_{\omega^5+\omega+8}(100)\) |
hexoogondold | E100#^(6)100##100##10 | \(f_{\omega^5+\omega+9}(100)\) |
hexugolthra | E100#^(6)100##100##100 | \(f_{\omega^5+\omega2}(100)\) |
hexugoltesla | E100#^(6)100##100##100##100 | \(f_{\omega^5+\omega3}(100)\) |
hexugolpeta | E100#^(6)100###5 | \(f_{\omega^5+\omega4}(100)\) |
hexugolhexa | E100#^(6)100###6 | \(f_{\omega^5+\omega5}(100)\) |
hexugolhepta | E100#^(6)100###7 | \(f_{\omega^5+\omega6}(100)\) |
hexugolocta | E100#^(6)100###8 | \(f_{\omega^5+\omega7}(100)\) |
hexugolenna | E100#^(6)100###9 | \(f_{\omega^5+\omega8}(100)\) |
hexugoldeka | E100#^(6)100###10 | \(f_{\omega^5+\omega9}(100)\) |
hexithroogol | E100#^(6)100###100 | \(f_{\omega^5+\omega99}(100)\) |
hexithrootrigol | E100#^(6)100###100###100 | \(f_{\omega^5+\omega^22}(100)\) |
hexithrootergol | E100#^(6)100###100###100###100 | \(f_{\omega^5+\omega^23}(100)\) |
hexithroopetol | E100#^(6)100####5 | \(f_{\omega^5+\omega^24}(100)\) |
hexithroohexol | E100#^(6)100####6 | \(f_{\omega^5+\omega^25}(100)\) |
hexithrooheptgol | E100#^(6)100####7 | \(f_{\omega^5+\omega^26}(100)\) |
hexithroogogdol | E100#^(6)100####8 | \(f_{\omega^5+\omega^27}(100)\) |
hexithroogentol | E100#^(6)100####9 | \(f_{\omega^5+\omega^28}(100)\) |
hexithroodekol | E100#^(6)100####10 | \(f_{\omega^5+\omega^29}(100)\) |
hexitetroogol | E100#^(6)100####100 | \(f_{\omega^5+\omega^299}(100)\) |
hexitetrootrigol | E100#^(6)100####100####100 | \(f_{\omega^5+\omega^32}(100)\) |
hexitetrootergol | E100#^(6)100####100####100####100 | \(f_{\omega^5+\omega^33}(100)\) |
hexitetroopetol | E100#^(6)100#####5 | \(f_{\omega^5+\omega^34}(100)\) |
hexitetroohexol | E100#^(6)100#####6 | \(f_{\omega^5+\omega^35}(100)\) |
hexitetrooheptgol | E100#^(6)100#####7 | \(f_{\omega^5+\omega^36}(100)\) |
hexitetroogogdol | E100#^(6)100#####8 | \(f_{\omega^5+\omega^37}(100)\) |
hexitetroogentol | E100#^(6)100#####9 | \(f_{\omega^5+\omega^38}(100)\) |
hexitetroodekol | E100#^(6)100#####10 | \(f_{\omega^5+\omega^39}(100)\) |
hexipentoogol | E100#^(6)100#####100 | \(f_{\omega^5+\omega^399}(100)\) |
hexipentootrigol | E100#^(6)100#####100#####100 | \(f_{\omega^5+\omega^42}(100)\) |
hexipentootergol | E100#^(6)100#####100#####100#####100 | \(f_{\omega^5+\omega^43}(100)\) |
hexipentoopetol | E100#^(6)100#^(6)5 | \(f_{\omega^5+\omega^44}(100)\) |
hexipentoohexol | E100#^(6)100#^(6)6 | \(f_{\omega^5+\omega^45}(100)\) |
hexipentooheptgol | E100#^(6)100#^(6)7 | \(f_{\omega^5+\omega^46}(100)\) |
hexipentoogogdol | E100#^(6)100#^(6)8 | \(f_{\omega^5+\omega^47}(100)\) |
hexipentoogentol | E100#^(6)100#^(6)9 | \(f_{\omega^5+\omega^48}(100)\) |
hexipentoodekol | E100#^(6)100#^(6)10 | \(f_{\omega^5+\omega^49}(100)\) |
hexootrigol | E100#^(6)100#^(6)100 | \(f_{\omega^5+\omega^499}(100)\) |
hexootergol | E100#^(6)100#^(6)100#^(6)100 | \(f_{\omega^53}(100)\) |
hexoopetol | E100#^(7)5 | \(f_{\omega^54}(100)\) |
hexoohexol | E100#^(7)6 | \(f_{\omega^55}(100)\) |
hexooheptgol | E100#^(7)7 | \(f_{\omega^56}(100)\) |
hexoogogdol | E100#^(7)8 | \(f_{\omega^57}(100)\) |
hexoogentol | E100#^(7)9 | \(f_{\omega^58}(100)\) |
hexoodekol | E100#^(7)10 | \(f_{\omega^59}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. Extended Hyper-E Numbers. Retrieved 2017-09-11.
- ↑ Sbiis Saibian's Ultimate Large Numbers List - Part I
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 · Tethrennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentacthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptacthulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment
Beyond...: Blasphemorgulus regiment
Redstonepillager's extensions: Extended Gridgahlah regiment · Tethratopothoth regiment · Godsgodgulus regiment · Blasphemorgulus regiment · Blasphemordeugulus regiment · Ominongulus regiment