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The terinngathor regiment is a series of numbers from E100#^#^####100 to E100(#^#^#^5)90 defined using Cascading-E notation (i.e. beginning from terinngathor and up to terinngathornonagintice).[1] The numbers were coined by Sbiis Saibian.

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Thraelgathor regiment Pentaelgathor regiment

List of numbers of the regiment

Name of number Cascading-E notation (definition) Fast-growing hierarchy (approximation)
Terinngathor E100#^#^####100 \(f_{\omega^{\omega^{\omega^4}}}(100)\)
Grand terinngathor E100#^#^####100#2 \(f_{\omega^{\omega^{\omega^4}}}^2(100)\)
Grangol-carta-terinngathor E100#^#^####100#100 \(f_{\omega^{\omega^{\omega^4}}+1}(100)\)
Gugold-carta-terinngathor E100#^#^####100##100 \(f_{\omega^{\omega^{\omega^4}}+\omega}(100)\)
Throogol-carta-terinngathor E100#^#^####100###100 \(f_{\omega^{\omega^{\omega^4}}+\omega^2}(100)\)
Tetroogol-carta-terinngathor E100#^#^####100####100 \(f_{\omega^{\omega^{\omega^4}}+\omega^3}(100)\)
Godgahlah-carta-terinngathor E100#^#^####100#^#100 \(f_{\omega^{\omega^{\omega^4}}+\omega^\omega}(100)\)
Grigahlah-carta-terinngathor E100#^#^####100#^##100 \(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^2}}(100)\)
Kubikahlah-carta-terinngathor E100#^#^####100#^###100 \(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^3}}(100)\)
Quarticahlah-carta-terinngathor E100#^#^####100#^####100 \(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^4}}(100)\)
Godgathor-carta-terinngathor E100#^#^####100#^#^#100 \(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^\omega}}(100)\)
Gralgathor-carta-terinngathor E100#^#^####100#^#^##100 \(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^{\omega^2}}}(100)\)
Thraelgathor-carta-terinngathor E100#^#^####100#^#^###100 \(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^{\omega^3}}}(100)\)
Terinntrigathor E100#^#^####100#^#^####100 \(f_{\omega^{\omega^{\omega^4}}2}(100)\)
Terinntergathor E100#^#^####100#^#^####100#^#^####100 = E100#^#^####*#4 \(f_{\omega^{\omega^{\omega^4}}3}(100)\)
Terinnpeggathor E100#^#^####*#5 \(f_{\omega^{\omega^{\omega^4}}4}(100)\)
Terinnhexgathor E100#^#^####*#6 \(f_{\omega^{\omega^{\omega^4}}5}(100)\)
Terinnhepgathor E100#^#^####*#7 \(f_{\omega^{\omega^{\omega^4}}6}(100)\)
Terinn-ahtgathor E100#^#^####*#8 \(f_{\omega^{\omega^{\omega^4}}7}(100)\)
Terinn-enngathor E100#^#^####*#9 \(f_{\omega^{\omega^{\omega^4}}8}(100)\)
Terinndekagathor E100#^#^####*#10 \(f_{\omega^{\omega^{\omega^4}}9}(100)\)
Terinngathor-by-hyperion E100#^#^####*#100 \(f_{\omega^{\omega^{\omega^4}+1}}(100)\)
Terinngathor-by-deutero-hyperion E100#^#^####*##100 \(f_{\omega^{\omega^{\omega^4}+2}}(100)\)
Terinngathor-by-trito-hyperion E100#^#^####*###100 \(f_{\omega^{\omega^{\omega^4}+3}}(100)\)
Terinngathor-by-teterto-hyperion E100#^#^####*####100 \(f_{\omega^{\omega^{\omega^4}+4}}(100)\)
Terinngathor-by-godgahlah E100#^#^####*#^#100 \(f_{\omega^{\omega^{\omega^4}+\omega}}(100)\)
Terinngathor-by-gridgahlah E100#^#^####*#^##100 \(f_{\omega^{\omega^{\omega^4}+\omega^2}}(100)\)
Terinngathor-by-kubikahlah E100#^#^####*#^###100 \(f_{\omega^{\omega^{\omega^4}+\omega^3}}(100)\)
Terinngathor-by-quarticahlah E100#^#^####*#^####100 \(f_{\omega^{\omega^{\omega^4}+\omega^4}}(100)\)
Terinngathor-by-godgathor E100#^#^####*#^#^#100 \(f_{\omega^{\omega^{\omega^4}+\omega^\omega}}(100)\)
Terinngathor-by-gralgathor E100#^#^####*#^#^##100 \(f_{\omega^{\omega^{\omega^4}+\omega^{\omega^2}}}(100)\)
Terinngathor-by-thraelgathor E100#^#^####*#^#^###100 \(f_{\omega^{\omega^{\omega^4}+\omega^{\omega^3}}}(100)\)
Deutero-terinngathor E100#^#^####*#^#^####100 \(f_{\omega^{\omega^{\omega^4}2}}(100)\)
Deutero-terinngathor-by-hyperion E100#^#^####*#^#^####*#100 \(f_{\omega^{\omega^{\omega^4}2+1}}(100)\)
Deutero-terinngathor-by-deutero-hyperion E100#^#^####*#^#^####*##100 \(f_{\omega^{\omega^{\omega^4}2+2}}(100)\)
Deutero-terinngathor-by-trito-hyperion E100#^#^####*#^#^####*###100 \(f_{\omega^{\omega^{\omega^4}2+3}}(100)\)
Deutero-terinngathor-by-teterto-hyperion E100#^#^####*#^#^####*####100 \(f_{\omega^{\omega^{\omega^4}2+4}}(100)\)
Deutero-terinngathor-by-godgahlah E100#^#^####*#^#^####*#^#100 \(f_{\omega^{\omega^{\omega^4}2+\omega}}(100)\)
Deutero-terinngathor-by-gridgahlah E100#^#^####*#^#^####*#^##100 \(f_{\omega^{\omega^{\omega^4}2+\omega^2}}(100)\)
Deutero-terinngathor-by-kubikahlah E100#^#^####*#^#^####*#^###100 \(f_{\omega^{\omega^{\omega^4}2+\omega^3}}(100)\)
Deutero-terinngathor-by-quarticahlah E100#^#^####*#^#^####*#^####100 \(f_{\omega^{\omega^{\omega^4}2+\omega^4}}(100)\)
Deutero-terinngathor-by-godgathor E100#^#^####*#^#^####*#^#^#100 \(f_{\omega^{\omega^{\omega^4}2+\omega^\omega}}(100)\)
Deutero-terinngathor-by-gralgathor E100#^#^####*#^#^####*#^#^##100 \(f_{\omega^{\omega^{\omega^4}2+\omega^{\omega^2}}}(100)\)
Deutero-terinngathor-by-thraelgathor E100#^#^####*#^#^####*#^#^###100 \(f_{\omega^{\omega^{\omega^4}2+\omega^{\omega^3}}}(100)\)
Trito-terinngathor E100#^#^####*#^#^####*#^#^####100 \(f_{\omega^{\omega^{\omega^4}3}}(100)\)
Teterto-terinngathor E100#^#^####*#^#^####*#^#^####*#^#^####100 = E100#^(#^####*#)4 \(f_{\omega^{\omega^{\omega^4}4}}(100)\)
Pepto-terinngathor E100#^(#^####*#)5 \(f_{\omega^{\omega^{\omega^4}5}}(100)\)
Exto-terinngathor E100#^(#^####*#)6 \(f_{\omega^{\omega^{\omega^4}6}}(100)\)
Epto-terinngathor E100#^(#^####*#)7 \(f_{\omega^{\omega^{\omega^4}7}}(100)\)
Ogdo-terinngathor E100#^(#^####*#)8 \(f_{\omega^{\omega^{\omega^4}8}}(100)\)
Ento-terinngathor E100#^(#^####*#)9 \(f_{\omega^{\omega^{\omega^4}9}}(100)\)
Dekato-terinngathor E100#^(#^####*#)10 \(f_{\omega^{\omega^{\omega^4}10}}(100)\)
Isosto-terinngathor E100#^(#^####*#)20 \(f_{\omega^{\omega^{\omega^4}20}}(100)\)
Trianto-terinngathor E100#^(#^####*#)30 \(f_{\omega^{\omega^{\omega^4}30}}(100)\)
Saranto-terinngathor E100#^(#^####*#)40 \(f_{\omega^{\omega^{\omega^4}40}}(100)\)
Peninto-terinngathor E100#^(#^####*#)50 \(f_{\omega^{\omega^{\omega^4}50}}(100)\)
Exinto-terinngathor E100#^(#^####*#)60 \(f_{\omega^{\omega^{\omega^4}60}}(100)\)
Ebdominto-terinngathor E100#^(#^####*#)70 \(f_{\omega^{\omega^{\omega^4}70}}(100)\)
Ogdonto-terinngathor E100#^(#^####*#)80 \(f_{\omega^{\omega^{\omega^4}80}}(100)\)
Eneninto-terinngathor E100#^(#^####*#)90 \(f_{\omega^{\omega^{\omega^4}90}}(100)\)
Hecato-terinngathor E100#^(#^####*#)100 \(f_{\omega^{\omega^{\omega^4+1}}}(100)\)
Terinngridgathor E100#^(#^####*##)100 \(f_{\omega^{\omega^{\omega^4+2}}}(100)\)
Terinnkubikgathor E100#^(#^####*###)100 \(f_{\omega^{\omega^{\omega^4+3}}}(100)\)
Terinnquarticgathor E100#^(#^####*####)100 = E100#^(#^####*#^#)4 \(f_{\omega^{\omega^{\omega^4+4}}}(100)\)
Terinnquinticgathor E100#^(#^####*#^#)5 \(f_{\omega^{\omega^{\omega^4+5}}}(100)\)
Terinnsexticgathor E100#^(#^####*#^#)6 \(f_{\omega^{\omega^{\omega^4+6}}}(100)\)
Terinnsepticgathor E100#^(#^####*#^#)7 \(f_{\omega^{\omega^{\omega^4+7}}}(100)\)
Terinnocticgathor E100#^(#^####*#^#)8 \(f_{\omega^{\omega^{\omega^4+8}}}(100)\)
Terinnonicgathor E100#^(#^####*#^#)9 \(f_{\omega^{\omega^{\omega^4+9}}}(100)\)
Terinndecicgathor E100#^(#^####*#^#)10 \(f_{\omega^{\omega^{\omega^4+10}}}(100)\)
Terinnviginticgathor E100#^(#^####*#^#)20 \(f_{\omega^{\omega^{\omega^4+20}}}(100)\)
Terinnquinquaginticgathor E100#^(#^####*#^#)50 \(f_{\omega^{\omega^{\omega^4+50}}}(100)\)
Terinngodgathgathor E100#^(#^####*#^#)100 \(f_{\omega^{\omega^{\omega^4+\omega}}}(100)\)
Terinngodgathordeusgathor E100#^(#^####*#^#*#^#)100 \(f_{\omega^{\omega^{\omega^4+\omega2}}}(100)\)
Terinngralgathgathor E100#^(#^####*#^##)100 \(f_{\omega^{\omega^{\omega^4+\omega^2}}}(100)\)
Terinnthraelgathgathor E100#^(#^####*#^###)100 \(f_{\omega^{\omega^{\omega^4+\omega^3}}}(100)\)
Terinngathordeus E100#^(#^####*#^####)100 \(f_{\omega^{\omega^{\omega^42}}}(100)\)
Terinngodgathgathordeus E100#^(#^####*#^####*#^#)100 \(f_{\omega^{\omega^{\omega^42+\omega}}}(100)\)
Terinngodgathordeusgathordeus E100#^(#^####*#^####*#^#*#^#)100 \(f_{\omega^{\omega^{\omega^42+\omega2}}}(100)\)
Terinngralgathgathordeus E100#^(#^####*#^####*#^##)100 \(f_{\omega^{\omega^{\omega^42+\omega^2}}}(100)\)
Terinnthraelgathgathordeus E100#^(#^####*#^####*#^###)100 \(f_{\omega^{\omega^{\omega^42+\omega^3}}}(100)\)
Terinngathortruce E100#^(#^####*#^####*#^####)100 \(f_{\omega^{\omega^{\omega^43}}}(100)\)
Terinngathorquad E100#^(#^####*#^####*#^####*#^####)100 = E100(#^#^#^5)4 \(f_{\omega^{\omega^{\omega^44}}}(100)\)
Terinngathorquid E100(#^#^#^5)5 \(f_{\omega^{\omega^{\omega^45}}}(100)\)
Terinngathorsid E100(#^#^#^5)6 \(f_{\omega^{\omega^{\omega^46}}}(100)\)
Terinngathorseptuce E100(#^#^#^5)7 \(f_{\omega^{\omega^{\omega^47}}}(100)\)
Terinngathoroctuce E100(#^#^#^5)8 \(f_{\omega^{\omega^{\omega^48}}}(100)\)
Terinngathornonice E100(#^#^#^5)9 \(f_{\omega^{\omega^{\omega^49}}}(100)\)
Terinngathordecice E100(#^#^#^5)10 \(f_{\omega^{\omega^{\omega^410}}}(100)\)
Terinngathorvigintice E100(#^#^#^5)20 \(f_{\omega^{\omega^{\omega^420}}}(100)\)
Terinngathortrigintice E100(#^#^#^5)30 \(f_{\omega^{\omega^{\omega^430}}}(100)\)
Terinngathorquadragintice E100(#^#^#^5)40 \(f_{\omega^{\omega^{\omega^440}}}(100)\)
Terinngathorquinquagintice E100(#^#^#^5)50 \(f_{\omega^{\omega^{\omega^450}}}(100)\)
Terinngathorsexagintice E100(#^#^#^5)60 \(f_{\omega^{\omega^{\omega^460}}}(100)\)
Terinngathorseptuagintice E100(#^#^#^5)70 \(f_{\omega^{\omega^{\omega^470}}}(100)\)
Terinngathoroctogintice E100(#^#^#^5)80 \(f_{\omega^{\omega^{\omega^480}}}(100)\)
Terinngathornonagintice E100(#^#^#^5)90 \(f_{\omega^{\omega^{\omega^490}}}(100)\)

Sources

  1. Saibian, Sbiis. Cascading-E Numbers. Retrieved 2017-10-13.
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 · 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

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