The gralgathor regiment is a series of numbers from E100#^#^##100 to E100#^#^###90 defined using Cascading-E notation (i.e. beginning from gralgathor and up to gralgathornonagintice).[1] The numbers were coined by Sbiis Saibian.
| Previous regiment | Next regiment |
| Godgathor regiment | Thraelgathor regiment |
List of numbers of the regiment
| Name of number | Cascading-E notation (definition) | Fast-growing hierarchy (approximation) |
| gralgathor | E100#^#^##100 = | \(f_{\omega^{\omega^{\omega^2}}}(100)\) |
| grand gralgathor | E100#^#^##100#2 | \(f_{\omega^{\omega^{\omega^2}}}^2(100)\) |
| grangol-carta-gralgathor | E100#^#^##100#100 | \(f_{\omega^{\omega^{\omega^2}}+1}(100)\) |
| gugold-carta-gralgathor | E100#^#^##100##100 | \(f_{\omega^{\omega^{\omega^2}}+\omega}(100)\) |
| throogol-carta-gralgathor | E100#^#^##100###100 | \(f_{\omega^{\omega^{\omega^2}}+\omega^2}(100)\) |
| tetroogol-carta-gralgathor | E100#^#^##100####100 | \(f_{\omega^{\omega^{\omega^2}}+\omega^3}(100)\) |
| godgahlah-carta-gralgathor | E100#^#^##100#^#100 | \(f_{\omega^{\omega^{\omega^2}}+\omega^\omega}(100)\) |
| gridgahlah-carta-gralgathor | E100#^#^##100#^##100 | \(f_{\omega^{\omega^{\omega^2}}+\omega^{\omega^2}}(100)\) |
| kubikahlah-carta-gralgathor | E100#^#^##100#^###100 | \(f_{\omega^{\omega^{\omega^2}}+\omega^{\omega^3}}(100)\) |
| quarticahlah-carta-gralgathor | E100#^#^##100#^####100 | \(f_{\omega^{\omega^{\omega^2}}+\omega^{\omega^4}}(100)\) |
| godgathor-carta-gralgathor | E100#^#^##100#^#^#100 | \(f_{\omega^{\omega^{\omega^2}}+\omega^{\omega^\omega}}(100)\) |
| graltrigathor | E100#^#^##100#^#^##100 | \(f_{\omega^{\omega^{\omega^2}}2}(100)\) |
| graltergathor | E100#^#^##100#^#^##100#^#^##100 | \(f_{\omega^{\omega^{\omega^2}}3}(100)\) |
| deutero-gralgathor | E100#^#^##*#^#^##100 | \(f_{\omega^{\omega^{\omega^2}2}}(100)\) |
| trito-gralgathor | E100#^#^##*#^#^##*#^#^##100 | \(f_{\omega^{\omega^{\omega^2}3}}(100)\) |
| teterto-gralgathor | E100#^(#^##*#)4 | \(f_{\omega^{\omega^{\omega^2}4}}(100)\) |
| pepto-gralgathor | E100#^(#^##*#)5 | \(f_{\omega^{\omega^{\omega^2}5}}(100)\) |
| exto-gralgathor | E100#^(#^##*#)6 | \(f_{\omega^{\omega^{\omega^2}6}}(100)\) |
| epto-gralgathor | E100#^(#^##*#)7 | \(f_{\omega^{\omega^{\omega^2}7}}(100)\) |
| ogdo-gralgathor | E100#^(#^##*#)8 | \(f_{\omega^{\omega^{\omega^2}8}}(100)\) |
| ento-gralgathor | E100#^(#^##*#)9 | \(f_{\omega^{\omega^{\omega^2}9}}(100)\) |
| dekato-gralgathor | E100#^(#^##*#)10 | \(f_{\omega^{\omega^{\omega^2}10}}(100)\) |
| isosto-gralgathor | E100#^(#^##*#)20 | \(f_{\omega^{\omega^{\omega^2}20}}(100)\) |
| trianto-gralgathor | E100#^(#^##*#)30 | \(f_{\omega^{\omega^{\omega^2}30}}(100)\) |
| saranto-gralgathor | E100#^(#^##*#)40 | \(f_{\omega^{\omega^{\omega^2}40}}(100)\) |
| peninto-gralgathor | E100#^(#^##*#)50 | \(f_{\omega^{\omega^{\omega^2}50}}(100)\) |
| exinto-gralgathor | E100#^(#^##*#)60 | \(f_{\omega^{\omega^{\omega^2}60}}(100)\) |
| ebdominto-gralgathor | E100#^(#^##*#)70 | \(f_{\omega^{\omega^{\omega^2}70}}(100)\) |
| ogdonto-gralgathor | E100#^(#^##*#)80 | \(f_{\omega^{\omega^{\omega^2}80}}(100)\) |
| eneninto-gralgathor | E100#^(#^##*#)90 | \(f_{\omega^{\omega^{\omega^2}90}}(100)\) |
| hecato-gralgathor | E100#^(#^##*#)100 | \(f_{\omega^{\omega^{\omega^2+1}}}(100)\) |
| gralgridgathor | E100#^(#^##*##)100 | \(f_{\omega^{\omega^{\omega^2+2}}}(100)\) |
| gralkubikgathor | E100#^(#^##*###)100 | \(f_{\omega^{\omega^{\omega^2+3}}}(100)\) |
| gralquarticgathor | E100#^(#^##*####)100 | \(f_{\omega^{\omega^{\omega^2+4}}}(100)\) |
| gralgodgathgathor | E100#^(#^##*#^#)100 | \(f_{\omega^{\omega^{\omega^2+\omega}}}(100)\) |
| gralgodgathordeusgathor | E100#^(#^##*#^#*#^#)100 | \(f_{\omega^{\omega^{\omega^2+\omega2}}}(100)\) |
| gralgodgathortrucegathor | E100#^(#^##*#^#*#^#*#^#)100 | \(f_{\omega^{\omega^{\omega^2+\omega3}}}(100)\) |
| gralgodgathorquadgathor | E100#^(#^##*#^#*#^#*#^#*#^#)100 | \(f_{\omega^{\omega^{\omega^2+\omega4}}}(100)\) |
| gralgodgathorquidgathor | E100#^(#^##*#^##)5 | \(f_{\omega^{\omega^{\omega^2+\omega5}}}(100)\) |
| gralgodgathorsidgathor | E100#^(#^##*#^##)6 | \(f_{\omega^{\omega^{\omega^2+\omega6}}}(100)\) |
| gralgodgathorseptucegathor | E100#^(#^##*#^##)7 | \(f_{\omega^{\omega^{\omega^2+\omega7}}}(100)\) |
| gralgodgathoroctucegathor | E100#^(#^##*#^##)8 | \(f_{\omega^{\omega^{\omega^2+\omega8}}}(100)\) |
| gralgodgathornonicegathor | E100#^(#^##*#^##)9 | \(f_{\omega^{\omega^{\omega^2+\omega9}}}(100)\) |
| gralgodgathordecicegathor | E100#^(#^##*#^##)10 | \(f_{\omega^{\omega^{\omega^2+\omega10}}}(100)\) |
| gralgodgathorviginticegathor | E100#^(#^##*#^##)20 | \(f_{\omega^{\omega^{\omega^2+\omega20}}}(100)\) |
| gralgodgathorquinquaginticegathor | E100#^(#^##*#^##)50 | \(f_{\omega^{\omega^{\omega^2+\omega50}}}(100)\) |
| gralgathordeus | E100#^(#^##*#^##)100 = E100#^#^###2 | \(f_{\omega^{\omega^{\omega^22}}}(100)\) |
| gralgathortruce | E100#^(#^##*#^##*#^##)100 = E100#^#^###3 | \(f_{\omega^{\omega^{\omega^23}}}(100)\) |
| gralgathorquad | E100#^#^###4 | \(f_{\omega^{\omega^{\omega^24}}}(100)\) |
| gralgathorquid | E100#^#^###5 | \(f_{\omega^{\omega^{\omega^25}}}(100)\) |
| gralgathorsid | E100#^#^###6 | \(f_{\omega^{\omega^{\omega^26}}}(100)\) |
| gralgathorseptuce | E100#^#^###7 | \(f_{\omega^{\omega^{\omega^27}}}(100)\) |
| gralgathoroctuce | E100#^#^###8 | \(f_{\omega^{\omega^{\omega^28}}}(100)\) |
| gralgathornonice | E100#^#^###9 | \(f_{\omega^{\omega^{\omega^29}}}(100)\) |
| gralgathordecice | E100#^#^###10 | \(f_{\omega^{\omega^{\omega^210}}}(100)\) |
| gralgathorvigintice | E100#^#^###20 | \(f_{\omega^{\omega^{\omega^220}}}(100)\) |
| gralgathortrigintice | E100#^#^###30 | \(f_{\omega^{\omega^{\omega^230}}}(100)\) |
| gralgathorquadragintice | E100#^#^###40 | \(f_{\omega^{\omega^{\omega^240}}}(100)\) |
| gralgathorquinquagintice | E100#^#^###50 | \(f_{\omega^{\omega^{\omega^250}}}(100)\) |
| gralgathorsexagintice | E100#^#^###60 | \(f_{\omega^{\omega^{\omega^260}}}(100)\) |
| gralgathorseptuagintice | E100#^#^###70 | \(f_{\omega^{\omega^{\omega^270}}}(100)\) |
| gralgathoroctogintice | E100#^#^###80 | \(f_{\omega^{\omega^{\omega^280}}}(100)\) |
| gralgathornonagintice | E100#^#^###90 | \(f_{\omega^{\omega^{\omega^290}}}(100)\) |
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