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The heptoogol regiment is a series of numbers from E100#^(7)100 to E100#^(8)10 defined using Extended Hyper-E Notation (i.e. beginning from heptoogol and up to heptoodekol).[1][2] The numbers were coined by Sbiis Saibian.

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Hexoogol regiment Ogdoogol regiment

List of numbers of the regiment Edit

Name of number Extended Hyper-E Notation (exact equality) Fast-growing hierarchy (approximation)
heptoogol E100#^(7)100 \(f_{\omega^6}(100)\)
grand heptoogol E100#^(7)100#2 \(f_{\omega^6}^2(100)\)
heptrangol E100#^(7)100#100 \(f_{\omega^6+1}(100)\)
heptreagol E100#^(7)100#100#100 \(f_{\omega^6+2}(100)\)
heptigangol E100#^(7)100#100#100#100 \(f_{\omega^6+3}(100)\)
heptorgegol E100#^(7)100##5 \(f_{\omega^6+4}(100)\)
heptulgol E100#^(7)100##6 \(f_{\omega^6+5}(100)\)
heptaspgol E100#^(7)100##7 \(f_{\omega^6+6}(100)\)
heptinorgol E100#^(7)100##8 \(f_{\omega^6+7}(100)\)
heptargantuul E100#^(7)100##9 \(f_{\omega^6+8}(100)\)
heptoogondol E100#^(7)100##10 \(f_{\omega^6+9}(100)\)
heptugold E100#^(7)100##100 \(f_{\omega^6+99}(100)\)
heptugolthra E100#^(7)100##100##100 \(f_{\omega^6+\omega2}(100)\)
heptugoltesla E100#^(7)100##100##100##100 \(f_{\omega^6+\omega3}(100)\)
heptugolpeta E100#^(7)100###5 \(f_{\omega^6+\omega4}(100)\)
heptugolhexa E100#^(7)100###6 \(f_{\omega^6+\omega5}(100)\)
heptugolhepta E100#^(7)100###7 \(f_{\omega^6+\omega6}(100)\)
heptugolocta E100#^(7)100###8 \(f_{\omega^6+\omega7}(100)\)
heptugolenna E100#^(7)100###9 \(f_{\omega^6+\omega8}(100)\)
heptugoldeka E100#^(7)100###10 \(f_{\omega^6+\omega9}(100)\)
heptithroogol E100#^(7)100###100 \(f_{\omega^6+\omega99}(100)\)
heptithrootrigol E100#^(7)100###100###100 \(f_{\omega^6+\omega^22}(100)\)
heptithrootergol E100#^(7)100###100###100###100 \(f_{\omega^6+\omega^23}(100)\)
heptithroopetol E100#^(7)100####5 \(f_{\omega^6+\omega^24}(100)\)
heptithroohexol E100#^(7)100####6 \(f_{\omega^6+\omega^25}(100)\)
heptithrooheptgol E100#^(7)100####7 \(f_{\omega^6+\omega^26}(100)\)
heptithroogogdol E100#^(7)100####8 \(f_{\omega^6+\omega^27}(100)\)
heptithroogentol E100#^(7)100####9 \(f_{\omega^6+\omega^28}(100)\)
heptithroodekol E100#^(7)100####10 \(f_{\omega^6+\omega^29}(100)\)
heptitetroogol E100#^(7)100####100 \(f_{\omega^6+\omega^299}(100)\)
heptitetrootrigol E100#^(7)100####100####100 \(f_{\omega^6+\omega^32}(100)\)
heptitetrootergol E100#^(7)100####100####100####100 \(f_{\omega^6+\omega^33}(100)\)
heptitetroopetol E100#^(7)100#####5 \(f_{\omega^6+\omega^34}(100)\)
heptitetroohexol E100#^(7)100#####6 \(f_{\omega^6+\omega^35}(100)\)
heptitetrooheptgol E100#^(7)100#####7 \(f_{\omega^6+\omega^36}(100)\)
heptitetroogogdol E100#^(7)100#####8 \(f_{\omega^6+\omega^37}(100)\)
heptitetroogentol E100#^(7)100#####9 \(f_{\omega^6+\omega^38}(100)\)
heptitetroodekol E100#^(7)100#####10 \(f_{\omega^6+\omega^39}(100)\)
heptipentoogol E100#^(7)100#####100 \(f_{\omega^6+\omega^399}(100)\)
heptipentootrigol E100#^(7)100#####100#####100 \(f_{\omega^6+\omega^42}(100)\)
heptipentootergol E100#^(7)100#####100#####100#####100 \(f_{\omega^6+\omega^43}(100)\)
heptipentoopetol E100#^(7)100#^(6)5 \(f_{\omega^6+\omega^44}(100)\)
heptipentoohexol E100#^(7)100#^(6)6 \(f_{\omega^6+\omega^45}(100)\)
heptipentooheptgol E100#^(7)100#^(6)7 \(f_{\omega^6+\omega^46}(100)\)
heptipentoogogdol E100#^(7)100#^(6)8 \(f_{\omega^6+\omega^47}(100)\)
heptipentoogentol E100#^(7)100#^(6)9 \(f_{\omega^6+\omega^48}(100)\)
heptipentoodekol E100#^(7)100#^(6)10 \(f_{\omega^6+\omega^49}(100)\)
heptihexoogol E100#^(7)100#^(6)100 \(f_{\omega^6+\omega^499}(100)\)
heptihexootrigol E100#^(7)100#^(6)100#^(6)100 \(f_{\omega^6+\omega^52}(100)\)
heptihexootergol E100#^(7)100#^(6)100#^(6)100#^(6)100 \(f_{\omega^6+\omega^53}(100)\)
heptihexoopetol E100#^(7)100#^(7)5 \(f_{\omega^6+\omega^54}(100)\)
heptihexoohexol E100#^(7)100#^(7)6 \(f_{\omega^6+\omega^55}(100)\)
heptihexooheptgol E100#^(7)100#^(7)7 \(f_{\omega^6+\omega^56}(100)\)
heptihexoogogdol E100#^(7)100#^(7)8 \(f_{\omega^6+\omega^57}(100)\)
heptihexoogentol E100#^(7)100#^(7)9 \(f_{\omega^6+\omega^58}(100)\)
heptihexoodekol E100#^(7)100#^(7)10 \(f_{\omega^6+\omega^59}(100)\)
heptootrigol E100#^(7)100#^(7)100 \(f_{\omega^62}(100)\)
heptootergol E100#^(7)100#^(7)100#^(7)100 \(f_{\omega^63}(100)\)
heptoopetol E100#^(8)5 \(f_{\omega^64}(100)\)
heptoohexol E100#^(8)6 \(f_{\omega^65}(100)\)
heptooheptgol E100#^(8)7 \(f_{\omega^66}(100)\)
heptoogogdol E100#^(8)8 \(f_{\omega^67}(100)\)
heptoogentol E100#^(8)9 \(f_{\omega^68}(100)\)
heptoodekol E100#^(8)10 \(f_{\omega^69}(100)\)

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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