The godgathor regiment is a series of numbers from E100#^#^#100 to 100#^#^##90 defined using Cascading-E notation, beginning at godgathor and going up to godgathornonagintice.[1] The numbers were coined by Sbiis Saibian.
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Decicahlah regiment | Gralgathor regiment |
List of numbers of the regiment[]
Name of number | Cascading-E notation (definition) | Fast-growing hierarchy (approximation) |
Godgathor | E100#^#^#100 | \(f_{\omega^{\omega^\omega}}(100)\) |
Gotrigathor | E100#^#^#100#^#^#100 | \(f_{\omega^{\omega^\omega}2}(100)\) |
Gotergathor | E100#^#^#100#^#^#100#^#^#100 | \(f_{\omega^{\omega^\omega}3}(100)\) |
Goppegathor | E100#^#^#100#^#^#100#^#^#100#^#^#100 | \(f_{\omega^{\omega^\omega}4}(100)\) |
Gohexgathor | E100#^#^#*#6 | \(f_{\omega^{\omega^\omega}5}(100)\) |
Gohepgathor | E100#^#^#*#7 | \(f_{\omega^{\omega^\omega}6}(100)\) |
Go-ahtgathor | E100#^#^#*#8 | \(f_{\omega^{\omega^\omega}7}(100)\) |
Go-enngathor | E100#^#^#*#9 | \(f_{\omega^{\omega^\omega}8}(100)\) |
Godekgathor | E100#^#^#*#10 | \(f_{\omega^{\omega^\omega}9}(100)\) |
Deutero-godgathor | E100#^#^#*#^#^#100 = E100#^(#^#*#)2 | \(f_{\omega^{\omega^\omega2}}(100)\) |
Trito-godgathor | E100#^(#^#*#)3 | \(f_{\omega^{\omega^\omega3}}(100)\) |
Teterto-godgathor | E100#^(#^#*#)4 | \(f_{\omega^{\omega^\omega4}}(100)\) |
Pepto-godgathor | E100#^(#^#*#)5 | \(f_{\omega^{\omega^\omega5}}(100)\) |
Exto-godgathor | E100#^(#^#*#)6 | \(f_{\omega^{\omega^\omega6}}(100)\) |
Epto-godgathor | E100#^(#^#*#)7 | \(f_{\omega^{\omega^\omega7}}(100)\) |
Ogdo-godgathor | E100#^(#^#*#)8 | \(f_{\omega^{\omega^\omega8}}(100)\) |
Ento-godgathor | E100#^(#^#*#)9 | \(f_{\omega^{\omega^\omega9}}(100)\) |
Dekato-godgathor | E100#^(#^#*#)10 | \(f_{\omega^{\omega^\omega10}}(100)\) |
Isosto-godgathor | E100#^(#^#*#)20 | \(f_{\omega^{\omega^\omega20}}(100)\) |
Trianto-godgathor | E100#^(#^#*#)30 | \(f_{\omega^{\omega^\omega30}}(100)\) |
Saranto-godgathor | E100#^(#^#*#)40 | \(f_{\omega^{\omega^\omega40}}(100)\) |
Peninto-godgathor | E100#^(#^#*#)50 | \(f_{\omega^{\omega^\omega50}}(100)\) |
Exinto-godgathor | E100#^(#^#*#)60 | \(f_{\omega^{\omega^\omega60}}(100)\) |
Ebdominto-godgathor | E100#^(#^#*#)70 | \(f_{\omega^{\omega^\omega70}}(100)\) |
Ogdonto-godgathor | E100#^(#^#*#)80 | \(f_{\omega^{\omega^\omega80}}(100)\) |
Eneninto-godgathor | E100#^(#^#*#)90 | \(f_{\omega^{\omega^\omega90}}(100)\) |
Hecato-godgathor | E100#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}}}(100)\) |
Gotrigathorfact | E100#^(#^#*#)100#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}}2}(100)\) |
Gotergathorfact | E100#^(#^#*#)100#^(#^#*#)100#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}}3}(100)\) |
Goppegathorfact | E100#^(#^#*#)100#^(#^#*#)100#^(#^#*#)100#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}}4}(100)\) |
Deutero-godgathorfact | E100#^(#^#*#)*#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}2}}(100)\) |
Trito-godgathorfact | E100#^(#^#*#)*#^(#^#*#)*#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}3}}(100)\) |
Teterto-godgathorfact | E100#^(#^#*#)*#^(#^#*#)*#^(#^#*#)*#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}4}}(100)\) |
Pepto-godgathorfact | E100#^(#^#*#)*#^(#^#*#)*#^(#^#*#)*#^(#^#*#)*#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}5}}(100)\) |
Exto-godgathorfact | E100#^(#^#*#)*#^(#^#*#)*#^(#^#*#)*#^(#^#*#)*#^(#^#*#)*#^(#^#*#)100 | \(f_{\omega^{\omega^{\omega+1}6}}(100)\) |
Godgridgathor | E100#^(#^#*##)100 | \(f_{\omega^{\omega^{\omega+2}}}(100)\) |
Gotrigridgathor | E100#^(#^#*##)100#^(#^#*##)100 | \(f_{\omega^{\omega^{\omega+2}}2}(100)\) |
Deutero-godgridgathor | E100#^(#^#*##)*#^(#^#*##)100 | \(f_{\omega^{\omega^{\omega+2}2}}(100)\) |
Trito-godgridgathor | E100#^(#^#*##)*#^(#^#*##)*#^(#^#*##)100 | \(f_{\omega^{\omega^{\omega+2}3}}(100)\) |
Teterto-godgridgathor | E100#^(#^#*##)*#^(#^#*##)*#^(#^#*##)*#^(#^#*##)100 | \(f_{\omega^{\omega^{\omega+2}4}}(100)\) |
Godkubikgathor | E100#^(#^#*###)100 | \(f_{\omega^{\omega^{\omega+3}}}(100)\) |
Gotrikubikgathor | E100#^(#^#*###)100 | \(f_{\omega^{\omega^{\omega+3}}2}(100)\) |
Deutero-godkubikgathor | E100#^(#^#*###)*#^(#^#*###)100 | \(f_{\omega^{\omega^{\omega+3}2}}(100)\) |
Trito-godkubikgathor | E100#^(#^#*###)*#^(#^#*###)*#^(#^#*###)100 | \(f_{\omega^{\omega^{\omega+3}3}}(100)\) |
Godquarticgathor | E100#^(#^#*####)100 | \(f_{\omega^{\omega^{\omega+4}}}(100)\) |
Godquinticgathor | E100#^(#^#*#####)100 | \(f_{\omega^{\omega^{\omega+5}}}(100)\) |
Godsexticgathor | E100#^(#^#*######)100 | \(f_{\omega^{\omega^{\omega+6}}}(100)\) |
Godsepticgathor | E100#^(#^#*#^#)7 | \(f_{\omega^{\omega^{\omega+7}}}(100)\) |
Godocticgathor | E100#^(#^#*#^#)8 | \(f_{\omega^{\omega^{\omega+8}}}(100)\) |
Godnonicgathor | E100#^(#^#*#^#)9 | \(f_{\omega^{\omega^{\omega+9}}}(100)\) |
Goddecicgathor | E100#^(#^#*#^#)10 | \(f_{\omega^{\omega^{\omega+10}}}(100)\) |
Godgathordeus | E100#^(#^#*#^#)100 | \(f_{\omega^{\omega^{\omega2}}}(100)\) |
Hecato-godgathordeus | E100#^(#^#*#^#*#)100 | \(f_{\omega^{\omega^{\omega2+1}}}(100)\) |
Godgridgathordeus | E100#^(#^#*#^#*##)100 | \(f_{\omega^{\omega^{\omega2+2}}}(100)\) |
Godkubikgathordeus | E100#^(#^#*#^#*###)100 | \(f_{\omega^{\omega^{\omega2+3}}}(100)\) |
Godquarticgathordeus | E100#^(#^#*#^#*####)100 | \(f_{\omega^{\omega^{\omega2+4}}}(100)\) |
Godgathortruce | E100#^(#^#*#^#*#^#)100 | \(f_{\omega^{\omega^{\omega3}}}(100)\) |
Godgathorquad | E100#^(#^#*#^#*#^#*#^#)100 | \(f_{\omega^{\omega^{\omega4}}}(100)\) |
Godgathorquid | E100#^(#^#*#^#*#^#*#^#*#^#)100 = E100#^#^##5 | \(f_{\omega^{\omega^{\omega5}}}(100)\) |
Godgathorsid | E100#^#^##6 | \(f_{\omega^{\omega^{\omega6}}}(100)\) |
Godgathorseptuce | E100#^#^##7 | \(f_{\omega^{\omega^{\omega7}}}(100)\) |
Godgathoroctuce | E100#^#^##8 | \(f_{\omega^{\omega^{\omega8}}}(100)\) |
Godgathornonice | E100#^#^##9 | \(f_{\omega^{\omega^{\omega9}}}(100)\) |
Godgathordecice | E100#^#^##10 | \(f_{\omega^{\omega^{\omega10}}}(100)\) |
Godgathorvigintice | E100#^#^##20 | \(f_{\omega^{\omega^{\omega20}}}(100)\) |
Godgathortrigintice | E100#^#^##30 | \(f_{\omega^{\omega^{\omega30}}}(100)\) |
Godgathorquadragintice | E100#^#^##40 | \(f_{\omega^{\omega^{\omega40}}}(100)\) |
Godgathorquinquagintice | E100#^#^##50 | \(f_{\omega^{\omega^{\omega50}}}(100)\) |
Godgathorsexagintice | E100#^#^##60 | \(f_{\omega^{\omega^{\omega60}}}(100)\) |
Godgathorseptuagintice | E100#^#^##70 | \(f_{\omega^{\omega^{\omega70}}}(100)\) |
Godgathoroctogintice | E100#^#^##80 | \(f_{\omega^{\omega^{\omega80}}}(100)\) |
Godgathornonagintice | E100#^#^##90 | \(f_{\omega^{\omega^{\omega90}}}(100)\) |
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