The thraelgathor regiment is a series of numbers from E100#^#^###100 to E100#^#^####90 defined using Cascading-E notation (i.e. beginning from thraelgathor and up to thraelgathornonagintice).[1] The numbers were coined by Sbiis Saibian.
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Gralgathor regiment | Terinngathor regiment |
List of numbers of the regiment[]
Name of number | Cascading-E notation (definition) | Fast-growing hierarchy (approximation) |
Thraelgathor | E100#^#^###100 | \(f_{\omega^{\omega^{\omega^3}}}(100)\) |
Grand thraelgathor | E100#^#^###100#2 | \(f_{\omega^{\omega^{\omega^3}}}^2(100)\) |
Grangol-carta-thraelgathor | E100#^#^###100#100 | \(f_{\omega^{\omega^{\omega^3}}+1}(100)\) |
Gugold-carta-thraelgathor | E100#^#^###100##100 | \(f_{\omega^{\omega^{\omega^3}}+\omega}(100)\) |
Throogol-carta-thraelgathor | E100#^#^###100###100 | \(f_{\omega^{\omega^{\omega^3}}+\omega^2}(100)\) |
Tetroogol-carta-thraelgathor | E100#^#^###100####100 | \(f_{\omega^{\omega^{\omega^3}}+\omega^3}(100)\) |
Godgahlah-carta-thraelgathor | E100#^#^###100#^#100 | \(f_{\omega^{\omega^{\omega^3}}+\omega^\omega}(100)\) |
Gridgahlah-carta-thraelgathor | E100#^#^###100#^##100 | \(f_{\omega^{\omega^{\omega^3}}+\omega^{\omega^2}}(100)\) |
Kubikahlah-carta-thraelgathor | E100#^#^###100#^###100 | \(f_{\omega^{\omega^{\omega^3}}+\omega^{\omega^3}}(100)\) |
Quarticahlah-carta-thraelgathor | E100#^#^###100#^####100 | \(f_{\omega^{\omega^{\omega^3}}+\omega^{\omega^4}}(100)\) |
Godgathor-carta-thraelgathor | E100#^#^###100#^#^#100 | \(f_{\omega^{\omega^{\omega^3}}+\omega^{\omega^\omega}}(100)\) |
Gralgathor-carta-thraelgathor | E100#^#^###100#^#^##100 | \(f_{\omega^{\omega^{\omega^3}}+\omega^{\omega^{\omega^2}}}(100)\) |
Thraeltrigathor | E100#^#^###100#^#^###100 | \(f_{\omega^{\omega^{\omega^3}}2}(100)\) |
Thraeltergathor | E100#^#^###100#^#^###100#^#^###100 = E100#^#^###*#4 | \(f_{\omega^{\omega^{\omega^3}}3}(100)\) |
Thraelpeggathor | E100#^#^###*#5 | \(f_{\omega^{\omega^{\omega^3}}4}(100)\) |
Thraelhexgathor | E100#^#^###*#6 | \(f_{\omega^{\omega^{\omega^3}}5}(100)\) |
Thraelhepgathor | E100#^#^###*#7 | \(f_{\omega^{\omega^{\omega^3}}6}(100)\) |
Thrael-ahtgathor | E100#^#^###*#8 | \(f_{\omega^{\omega^{\omega^3}}7}(100)\) |
Thrael-enngathor | E100#^#^###*#9 | \(f_{\omega^{\omega^{\omega^3}}8}(100)\) |
Thraeldekagathor | E100#^#^###*#10 | \(f_{\omega^{\omega^{\omega^3}}9}(100)\) |
Deutero-thraelgathor | E100#^#^###*#^#^###100 | \(f_{\omega^{\omega^{\omega^3}2}}(100)\) |
Trito-thraelgathor | E100#^#^###*#^#^###*#^#^###100 | \(f_{\omega^{\omega^{\omega^3}3}}(100)\) |
Teterto-thraelgathor | E100#^#^###*#^#^###*#^#^###*#^#^###100 = E100#^(#^###*#)4 | \(f_{\omega^{\omega^{\omega^3}4}}(100)\) |
Pepto-thraelgathor | E100#^(#^###*#)5 | \(f_{\omega^{\omega^{\omega^3}5}}(100)\) |
Exto-thraelgathor | E100#^(#^###*#)6 | \(f_{\omega^{\omega^{\omega^3}6}}(100)\) |
Epto-thraelgathor | E100#^(#^###*#)7 | \(f_{\omega^{\omega^{\omega^3}7}}(100)\) |
Ogdo-thraelgathor | E100#^(#^###*#)8 | \(f_{\omega^{\omega^{\omega^3}8}}(100)\) |
Ento-thraelgathor | E100#^(#^###*#)9 | \(f_{\omega^{\omega^{\omega^3}9}}(100)\) |
Dekato-thraelgathor | E100#^(#^###*#)10 | \(f_{\omega^{\omega^{\omega^3}10}}(100)\) |
Isosto-thraelgathor | E100#^(#^###*#)20 | \(f_{\omega^{\omega^{\omega^3}20}}(100)\) |
Trianto-thraelgathor | E100#^(#^###*#)30 | \(f_{\omega^{\omega^{\omega^3}30}}(100)\) |
Saranto-thraelgathor | E100#^(#^###*#)40 | \(f_{\omega^{\omega^{\omega^3}40}}(100)\) |
Peninto-thraelgathor | E100#^(#^###*#)50 | \(f_{\omega^{\omega^{\omega^3}50}}(100)\) |
Exinto-thraelgathor | E100#^(#^###*#)60 | \(f_{\omega^{\omega^{\omega^3}60}}(100)\) |
Ebdominto-thraelgathor | E100#^(#^###*#)70 | \(f_{\omega^{\omega^{\omega^3}70}}(100)\) |
Ogdonto-thraelgathor | E100#^(#^###*#)80 | \(f_{\omega^{\omega^{\omega^3}80}}(100)\) |
Eneninto-thraelgathor | E100#^(#^###*#)90 | \(f_{\omega^{\omega^{\omega^3}90}}(100)\) |
Hecato-thraelgathor | E100#^(#^###*#)100 | \(f_{\omega^{\omega^{\omega^3+1}}}(100)\) |
Thraelgridgathor | E100#^(#^###*##)100 | \(f_{\omega^{\omega^{\omega^3+2}}}(100)\) |
Thraelkubikgathor | E100#^(#^###*###)100 | \(f_{\omega^{\omega^{\omega^3+3}}}(100)\) |
Thraelquarticgathor | E100#^(#^###*####)100 | \(f_{\omega^{\omega^{\omega^3+4}}}(100)\) |
Thraelgodgathgathor | E100#^(#^###*#^#)100 | \(f_{\omega^{\omega^{\omega^3+\omega}}}(100)\) |
Thraelgodgathordeusgathor | E100#^(#^###*#^#*#^#)100 | \(f_{\omega^{\omega^{\omega^3+\omega2}}}(100)\) |
Thraelgodgathortrucegathor | E100#^(#^###*#^#*#^#*#^#)100 | \(f_{\omega^{\omega^{\omega^3+\omega3}}}(100)\) |
Thraelgodgathorquadgathor | E100#^(#^###*#^#*#^#*#^#*#^#)100 = E100#^(#^###*#^##)4 | \(f_{\omega^{\omega^{\omega^3+\omega4}}}(100)\) |
Thraelgodgathorquidgathor | E100#^(#^###*#^##)5 | \(f_{\omega^{\omega^{\omega^3+\omega5}}}(100)\) |
Thraelgodgathorsidgathor | E100#^(#^###*#^##)6 | \(f_{\omega^{\omega^{\omega^3+\omega6}}}(100)\) |
Thraelgodgathorseptucegathor | E100#^(#^###*#^##)7 | \(f_{\omega^{\omega^{\omega^3+\omega7}}}(100)\) |
Thraelgodgathoroctucegathor | E100#^(#^###*#^##)8 | \(f_{\omega^{\omega^{\omega^3+\omega8}}}(100)\) |
Thraelgodgathornonicegathor | E100#^(#^###*#^##)9 | \(f_{\omega^{\omega^{\omega^3+\omega9}}}(100)\) |
Thraelgodgathordecicegathor | E100#^(#^###*#^##)10 | \(f_{\omega^{\omega^{\omega^3+\omega10}}}(100)\) |
Thraelgodgathorviginticegathor | E100#^(#^###*#^##)20 | \(f_{\omega^{\omega^{\omega^3+\omega20}}}(100)\) |
Thraelgodgathorquinquaginticegathor | E100#^(#^###*#^##)50 | \(f_{\omega^{\omega^{\omega^3+\omega50}}}(100)\) |
Thraelgralgathgathor | E100#^(#^###*#^##)100 | \(f_{\omega^{\omega^{\omega^3+\omega^2}}}(100)\) |
Thraelgralgodgathgathgathor | E100#^(#^###*#^##*#^#)100 | \(f_{\omega^{\omega^{\omega^3+\omega^2+\omega}}}(100)\) |
Thraelgralgodgathordeusgathgathor | E100#^(#^###*#^##*#^#*#^#)100 | \(f_{\omega^{\omega^{\omega^3+\omega^2+\omega2}}}(100)\) |
Thraelgralgathordeusgathor | E100#^(#^###*#^##*#^##)100 | \(f_{\omega^{\omega^{\omega^3+\omega^22}}}(100)\) |
Thraelgralgathortrucegathor | E100#^(#^###*#^##*#^##*#^##)100 | \(f_{\omega^{\omega^{\omega^3+\omega^23}}}(100)\) |
Thraelgralgathorquadgathor | E100#^(#^###*#^##*#^##*#^##*#^##)100 = E100#^(#^###*#^###)4 | \(f_{\omega^{\omega^{\omega^3+\omega^24}}}(100)\) |
Thraelgralgathorquidgathor | E100#^(#^###*#^###)5 | \(f_{\omega^{\omega^{\omega^3+\omega^25}}}(100)\) |
Thraelgralgathorsidgathor | E100#^(#^###*#^###)6 | \(f_{\omega^{\omega^{\omega^3+\omega^26}}}(100)\) |
Thraelgralgathorseptucegathor | E100#^(#^###*#^###)7 | \(f_{\omega^{\omega^{\omega^3+\omega^27}}}(100)\) |
Thraelgralgathoroctucegathor | E100#^(#^###*#^###)8 | \(f_{\omega^{\omega^{\omega^3+\omega^28}}}(100)\) |
Thraelgralgathornonicegathor | E100#^(#^###*#^###)9 | \(f_{\omega^{\omega^{\omega^3+\omega^29}}}(100)\) |
Thraelgralgathordecicegathor | E100#^(#^###*#^###)10 | \(f_{\omega^{\omega^{\omega^3+\omega^210}}}(100)\) |
Thraelgralgathorviginticegathor | E100#^(#^###*#^###)20 | \(f_{\omega^{\omega^{\omega^3+\omega^220}}}(100)\) |
Thraelgralgathorquinquaginticegathor | E100#^(#^###*#^###)50 | \(f_{\omega^{\omega^{\omega^3+\omega^250}}}(100)\) |
Thraelgathordeus | E100#^(#^###*#^###)100 | \(f_{\omega^{\omega^{\omega^32}}}(100)\) |
Thraelgodgathgathordeus | E100#^(#^###*#^###*#^#)100 | \(f_{\omega^{\omega^{\omega^32+\omega}}}(100)\) |
Thraelgralgathgathordeus | E100#^(#^###*#^###*#^##)100 | \(f_{\omega^{\omega^{\omega^32+\omega^2}}}(100)\) |
Thraelgathortruce | E100#^(#^###*#^###*#^###)100 | \(f_{\omega^{\omega^{\omega^33}}}(100)\) |
Thraelgathorquad | E100#^(#^###*#^###*#^###*#^###)100 = E100#^#^####4 | \(f_{\omega^{\omega^{\omega^34}}}(100)\) |
Thraelgathorquid | E100#^#^####5 | \(f_{\omega^{\omega^{\omega^35}}}(100)\) |
Thraelgathorsid | E100#^#^####6 | \(f_{\omega^{\omega^{\omega^36}}}(100)\) |
Thraelgathorseptuce | E100#^#^####7 | \(f_{\omega^{\omega^{\omega^37}}}(100)\) |
Thraelgathoroctuce | E100#^#^####8 | \(f_{\omega^{\omega^{\omega^38}}}(100)\) |
Thraelgathornonice | E100#^#^####9 | \(f_{\omega^{\omega^{\omega^39}}}(100)\) |
Thraelgathordecice | E100#^#^####10 | \(f_{\omega^{\omega^{\omega^310}}}(100)\) |
Thraelgathorvigintice | E100#^#^####20 | \(f_{\omega^{\omega^{\omega^320}}}(100)\) |
Thraelgathortrigintice | E100#^#^####30 | \(f_{\omega^{\omega^{\omega^330}}}(100)\) |
Thraelgathorquadragintice | E100#^#^####40 | \(f_{\omega^{\omega^{\omega^340}}}(100)\) |
Thraelgathorquinquagintice | E100#^#^####50 | \(f_{\omega^{\omega^{\omega^350}}}(100)\) |
Thraelgathorsexagintice | E100#^#^####60 | \(f_{\omega^{\omega^{\omega^360}}}(100)\) |
Thraelgathorseptuagintice | E100#^#^####70 | \(f_{\omega^{\omega^{\omega^370}}}(100)\) |
Thraelgathoroctogintice | E100#^#^####80 | \(f_{\omega^{\omega^{\omega^380}}}(100)\) |
Thraelgathornonagintice | E100#^#^####90 | \(f_{\omega^{\omega^{\omega^390}}}(100)\) |
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