The ennaelgathor regiment is a series of numbers from E100(#^#^#^9)100 to E100(#^#^#^10)90 defined using Cascading-E notation (i.e. beginning from ennaelgathor and up to ennaelgathornonagintice).[1] The numbers were coined by Sbiis Saibian.
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Octaelgathor regiment | Dekaelgathor regiment |
List of numbers of the regiment[]
Name of number | Cascading-E notation (definition) | Fast-growing hierarchy (approximation) |
ennaelgathor | E100(#^#^#^9)100 | \(f_{\omega^{\omega^{\omega^9}}}(100)\) |
grand ennaelgathor | E100(#^#^#^9)100#2 | \(f_{\omega^{\omega^{\omega^9}}}^2(100)\) |
grangol-carta-ennaelgathor | E100(#^#^#^9)100#100 | \(f_{\omega^{\omega^{\omega^9}}+1}(100)\) |
godgahlah-carta-ennaelgathor | E100(#^#^#^9)100#^#100 | \(f_{\omega^{\omega^{\omega^9}}+\omega^{\omega}}(100)\) |
godgathor-carta-ennaelgathor | E100(#^#^#^9)100#^#^#100 | \(f_{\omega^{\omega^{\omega^9}}+\omega^{\omega^{\omega}}}(100)\) |
gralgathor-carta-ennaelgathor | E100(#^#^#^9)100#^#^##100 | \(f_{\omega^{\omega^{\omega^9}}+\omega^{\omega^{\omega^2}}}(100)\) |
terinngathor-carta-ennaelgathor | E100(#^#^#^9)100#^#^####100 | \(f_{\omega^{\omega^{\omega^9}}+\omega^{\omega^{\omega^4}}}(100)\) |
pentaelgathor-carta-ennaelgathor | E100(#^#^#^9)100(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^9}}+\omega^{\omega^{\omega^5}}}(100)\) |
hexaelgathor-carta-ennaelgathor | E100(#^#^#^9)100(#^#^#^6)100 | \(f_{\omega^{\omega^{\omega^9}}+\omega^{\omega^{\omega^6}}}(100)\) |
heptaelgathor-carta-ennaelgathor | E100(#^#^#^9)100(#^#^#^7)100 | \(f_{\omega^{\omega^{\omega^9}}+\omega^{\omega^{\omega^7}}}(100)\) |
octaelgathor-carta-ennaelgathor | E100(#^#^#^9)100(#^#^#^8)100 | \(f_{\omega^{\omega^{\omega^9}}+\omega^{\omega^{\omega^8}}}(100)\) |
ennaeltrigathor | E100(#^#^#^9)100(#^#^#^9)100 | \(f_{\omega^{\omega^{\omega^9}}2}(100)\) |
ennaeltergathor | E100(#^#^#^9)*#4 | \(f_{\omega^{\omega^{\omega^9}}3}(100)\) |
ennaelpeggathor | E100(#^#^#^9)*#5 | \(f_{\omega^{\omega^{\omega^9}}4}(100)\) |
ennaelhexgathor | E100(#^#^#^9)*#6 | \(f_{\omega^{\omega^{\omega^9}}5}(100)\) |
ennaelhepgathor | E100(#^#^#^9)*#7 | \(f_{\omega^{\omega^{\omega^9}}6}(100)\) |
ennael-ahtgathor | E100(#^#^#^9)*#8 | \(f_{\omega^{\omega^{\omega^9}}7}(100)\) |
ennael-enngathor | E100(#^#^#^9)*#9 | \(f_{\omega^{\omega^{\omega^9}}8}(100)\) |
ennaeldekagathor | E100(#^#^#^9)*#10 | \(f_{\omega^{\omega^{\omega^9}}9}(100)\) |
ennaelgathor-by-hyperion | E100(#^#^#^9)*#100 | \(f_{\omega^{\omega^{\omega^9}+1}}(100)\) |
ennaelgathor-by-godgahlah | E100(#^#^#^9)*#^#100 | \(f_{\omega^{\omega^{\omega^9}+\omega}}(100)\) |
ennaelgathor-by-godgathor | E100(#^#^#^9)*#^#^#100 | \(f_{\omega^{\omega^{\omega^9}+\omega^{\omega}}}(100)\) |
ennaelgathor-by-gralgathor | E100(#^#^#^9)*#^#^##10 | \(f_{\omega^{\omega^{\omega^9}+\omega^{\omega^2}}}(100)\) |
ennaelgathor-by-thraelgathor | E100(#^#^#^9)*#^#^###100 | \(f_{\omega^{\omega^{\omega^9}+\omega^{\omega^3}}}(100)\) |
ennaelgathor-by-terinngathor | E100(#^#^#^9)*#^#^####100 | \(f_{\omega^{\omega^{\omega^9}+\omega^{\omega^4}}}(100)\) |
ennaelgathor-by-pentaelgathor | E100(#^#^#^9)*(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^9}+\omega^{\omega^5}}}(100)\) |
ennaelgathor-by-hexaelgathor | E100(#^#^#^9)*(#^#^#^6)100 | \(f_{\omega^{\omega^{\omega^9}+\omega^{\omega^6}}}(100)\) |
ennaelgathor-by-heptaelgathor | E100(#^#^#^9)*(#^#^#^7)100 | \(f_{\omega^{\omega^{\omega^9}+\omega^{\omega^7}}}(100)\) |
ennaelgathor-by-octaelgathor | E100(#^#^#^9)*(#^#^#^8)100 | \(f_{\omega^{\omega^{\omega^9}+\omega^{\omega^8}}}(100)\) |
deutero-ennaelgathor | E100(#^#^#^9)*(#^#^#^9)100 | \(f_{\omega^{\omega^{\omega^9}2}}(100)\) |
trito-ennaelgathor | E100(#^#^#^9)*(#^#^#^9)*(#^#^#^9)100 | \(f_{\omega^{\omega^{\omega^9}3}}(100)\) |
teterto-ennaelgathor | E100#^(#^#^9*#)4 | \(f_{\omega^{\omega^{\omega^9}4}}(100)\) |
pepto-ennaelgathor | E100#^(#^#^9*#)5 | \(f_{\omega^{\omega^{\omega^9}5}}(100)\) |
exto-ennaelgathor | E100#^(#^#^9*#)6 | \(f_{\omega^{\omega^{\omega^9}6}}(100)\) |
epto-ennaelgathor | E100#^(#^#^9*#)7 | \(f_{\omega^{\omega^{\omega^9}7}}(100)\) |
ogdo-ennaelgathor | E100#^(#^#^9*#)8 | \(f_{\omega^{\omega^{\omega^9}8}}(100)\) |
ento-ennaelgathor | E100#^(#^#^9*#)9 | \(f_{\omega^{\omega^{\omega^9}9}}(100)\) |
dekato-ennaelgathor | E100#^(#^#^9*#)10 | \(f_{\omega^{\omega^{\omega^9}10}}(100)\) |
isosto-ennaelgathor | E100#^(#^#^9*#)20 | \(f_{\omega^{\omega^{\omega^9}20}}(100)\) |
trianto-ennaelgathor | E100#^(#^#^9*#)30 | \(f_{\omega^{\omega^{\omega^9}30}}(100)\) |
saranto-ennaelgathor | E100#^(#^#^9*#)40 | \(f_{\omega^{\omega^{\omega^9}40}}(100)\) |
peninto-ennaelgathor | E100#^(#^#^9*#)50 | \(f_{\omega^{\omega^{\omega^9}50}}(100)\) |
exinto-ennaelgathor | E100#^(#^#^9*#)60 | \(f_{\omega^{\omega^{\omega^9}60}}(100)\) |
ebdominto-ennaelgathor | E100#^(#^#^9*#)70 | \(f_{\omega^{\omega^{\omega^9}70}}(100)\) |
ogdonto-ennaelgathor | E100#^(#^#^9*#)80 | \(f_{\omega^{\omega^{\omega^9}80}}(100)\) |
eneninto-ennaelgathor | E100#^(#^#^9*#)90 | \(f_{\omega^{\omega^{\omega^9}90}}(100)\) |
hecato-ennaelgathor | E100#^(#^#^9*#)100 | \(f_{\omega^{\omega^{\omega^9+1}}}(100)\) |
ennaelgridgathor | E100#^(#^#^9*##)100 | \(f_{\omega^{\omega^{\omega^9+2}}}(100)\) |
ennaelkubikgathor | E100#^(#^#^9*###)100 | \(f_{\omega^{\omega^{\omega^9+3}}}(100)\) |
ennaelquarticgathor | E100#^(#^#^9*####)100 | \(f_{\omega^{\omega^{\omega^9+4}}}(100)\) |
ennaelgodgathgathor | E100#^(#^#^9*#^#)100 | \(f_{\omega^{\omega^{\omega^9+\omega}}}(100)\) |
ennaelgralgathgathor | E100#^(#^#^9*#^##)100 | \(f_{\omega^{\omega^{\omega^9+\omega^2}}}(100)\) |
ennaelthraelgathgathor | E100#^(#^#^9*#^###)100 | \(f_{\omega^{\omega^{\omega^9+\omega^3}}}(100)\) |
ennaelterinngathgathor | E100#^(#^#^9*#^####)100 | \(f_{\omega^{\omega^{\omega^9+\omega^4}}}(100)\) |
ennaelpentaelgathgathor | E100#^(#^#^9*#^#^5)100 | \(f_{\omega^{\omega^{\omega^9+\omega^5}}}(100)\) |
ennaelhexaelgathgathor | E100#^(#^#^9*#^#^6)100 | \(f_{\omega^{\omega^{\omega^9+\omega^6}}}(100)\) |
ennaelheptaelgathgathor | E100#^(#^#^9*#^#^7)100 | \(f_{\omega^{\omega^{\omega^9+\omega^7}}}(100)\) |
ennaeloctaelgathgathor | E100#^(#^#^9*#^#^8)100 | \(f_{\omega^{\omega^{\omega^9+\omega^8}}}(100)\) |
ennaelgathordeus | E100#^(#^#^9*#^#^9)100 | \(f_{\omega^{\omega^{\omega^92}}}(100)\) |
ennaelgathortruce | E100#^(#^#^9*#^#^9*#^#^9)100 | \(f_{\omega^{\omega^{\omega^93}}}(100)\) |
ennaelgathorquad | E100(#^#^#^10)4 | \(f_{\omega^{\omega^{\omega^94}}}(100)\) |
ennaelgathorquid | E100(#^#^#^10)5 | \(f_{\omega^{\omega^{\omega^95}}}(100)\) |
ennaelgathorsid | E100(#^#^#^10)6 | \(f_{\omega^{\omega^{\omega^96}}}(100)\) |
ennaelgathorseptuce | E100(#^#^#^10)7 | \(f_{\omega^{\omega^{\omega^97}}}(100)\) |
ennaelgathoroctuce | E100(#^#^#^10)8 | \(f_{\omega^{\omega^{\omega^98}}}(100)\) |
ennaelgathornonice | E100(#^#^#^10)9 | \(f_{\omega^{\omega^{\omega^99}}}(100)\) |
ennaelgathordecice | E100(#^#^#^10)10 | \(f_{\omega^{\omega^{\omega^910}}}(100)\) |
ennaelgathorvigintice | E100(#^#^#^10)20 | \(f_{\omega^{\omega^{\omega^920}}}(100)\) |
ennaelgathortrigintice | E100(#^#^#^10)30 | \(f_{\omega^{\omega^{\omega^930}}}(100)\) |
ennaelgathorquadragintice | E100(#^#^#^10)40 | \(f_{\omega^{\omega^{\omega^940}}}(100)\) |
ennaelgathorquinquagintice | E100(#^#^#^10)50 | \(f_{\omega^{\omega^{\omega^950}}}(100)\) |
ennaelgathorsexagintice | E100(#^#^#^10)60 | \(f_{\omega^{\omega^{\omega^960}}}(100)\) |
ennaelgathorseptuagintice | E100(#^#^#^10)70 | \(f_{\omega^{\omega^{\omega^970}}}(100)\) |
ennaelgathoroctogintice | E100(#^#^#^10)80 | \(f_{\omega^{\omega^{\omega^980}}}(100)\) |
ennaelgathornonagintice | E100(#^#^#^10)90 | \(f_{\omega^{\omega^{\omega^990}}}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. Cascading-E Numbers. Retrieved 2017-10-13.
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