The pentaelgathor regiment is a series of numbers from E100#^#^#####100 to E100(#^#^#^6)90 defined using Cascading-E notation (i.e. beginning from pentaelgathor and up to pentaelgathornonagintice).[1] The numbers were coined by Sbiis Saibian.
Previous regiment | Next regiment |
Terinngathor regiment | Hexaelgathor regiment |
List of numbers of the regiment[]
Name of number | Cascading-E notation (definition) | Fast-growing hierarchy (approximation) |
Pentaelgathor | E100#^#^#####100 | \(f_{\omega^{\omega^{\omega^5}}}(100)\) |
Grand pentaelgathor | E100(#^#^#^5)100#2 | \(f_{\omega^{\omega^{\omega^5}}}^2(100)\) |
Grangol-carta-pentaelgathor | E100(#^#^#^5)100#100 | \(f_{\omega^{\omega^{\omega^5}}+1}(100)\) |
Pentaeltrigathor | E100(#^#^#^5)100(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^5}}2}(100)\) |
Pentaeltergathor | E100(#^#^#^5)100(#^#^#^5)100(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^5}}3}(100)\) |
Pentaelgathor-by-hyperion | E100(#^#^#^5)*#100 | \(f_{\omega^{\omega^{\omega^5}+1}}(100)\) |
Pentaelgathor-by-godgahlah | E100(#^#^#^5)*#^#100 | \(f_{\omega^{\omega^{\omega^5}+\omega}}(100)\) |
Pentaelgathor-by-godgathor | E100(#^#^#^5)*#^#^#100 | \(f_{\omega^{\omega^{\omega^5}+\omega^\omega}}(100)\) |
Pentaelgathor-by-gralgathor | E100(#^#^#^5)*#^#^##100 | \(f_{\omega^{\omega^{\omega^5}+\omega^{\omega^2}}}(100)\) |
Pentaelgathor-by-thraelgathor | E100(#^#^#^5)*#^#^###100 | \(f_{\omega^{\omega^{\omega^5}+\omega^{\omega^3}}}(100)\) |
Pentaelgathor-by-terinngathor | E100(#^#^#^5)*#^#^####100 | \(f_{\omega^{\omega^{\omega^5}+\omega^{\omega^4}}}(100)\) |
Deutero-pentaelgathor | E100(#^#^#^5)*(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^5}2}}(100)\) |
Trito-pentaelgathor | E100(#^#^#^5)*(#^#^#^5)*(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^5}3}}(100)\) |
Teterto-pentaelgathor | E100(#^#^#^5)*(#^#^#^5)*(#^#^#^5)*(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^5}4}}(100)\) |
Pepto-pentaelgathor | E100#^(#^#^5*#)5 | \(f_{\omega^{\omega^{\omega^5}5}}(100)\) |
Exto-pentaelgathor | E100#^(#^#^5*#)6 | \(f_{\omega^{\omega^{\omega^5}6}}(100)\) |
Epto-pentaelgathor | E100#^(#^#^5*#)7 | \(f_{\omega^{\omega^{\omega^5}7}}(100)\) |
Ogdo-pentaelgathor | E100#^(#^#^5*#)8 | \(f_{\omega^{\omega^{\omega^5}8}}(100)\) |
Ento-pentaelgathor | E100#^(#^#^5*#)9 | \(f_{\omega^{\omega^{\omega^5}9}}(100)\) |
Dekato-pentaelgathor | E100#^(#^#^5*#)10 | \(f_{\omega^{\omega^{\omega^5}10}}(100)\) |
Hecato-pentaelgathor | E100#^(#^#^5*#)100 | \(f_{\omega^{\omega^{\omega^5+1}}}(100)\) |
Pentaelgridgathor | E100#^(#^#^5*##)100 | \(f_{\omega^{\omega^{\omega^5+2}}}(100)\) |
Pentaelkubikgathor | E100#^(#^#^5*###)100 | \(f_{\omega^{\omega^{\omega^5+3}}}(100)\) |
Pentaelquarticgathor | E100#^(#^#^5*####)100 | \(f_{\omega^{\omega^{\omega^5+4}}}(100)\) |
Pentaelgodgathgathor | E100#^(#^#^5*#^#)100 | \(f_{\omega^{\omega^{\omega^5+\omega}}}(100)\) |
Pentaelgralgathgathor | E100#^(#^#^5*#^##)100 | \(f_{\omega^{\omega^{\omega^5+\omega^2}}}(100)\) |
Pentaelthraelgathgathor | E100#^(#^#^5*#^###)100 | \(f_{\omega^{\omega^{\omega^5+\omega^3}}}(100)\) |
Pentaelterinngathgathor | E100#^(#^#^5*#^####)100 | \(f_{\omega^{\omega^{\omega^5+\omega^4}}}(100)\) |
Pentaelgathordeus | E100#^(#^#^5*#^#^5)100 | \(f_{\omega^{\omega^{\omega^52}}}(100)\) |
Pentaelgathortruce | E100#^(#^#^5*#^#^5*#^#^5)100 | \(f_{\omega^{\omega^{\omega^53}}}(100)\) |
Pentaelgathorquad | E100#^(#^#^5*#^#^5*#^#^5*#^#^5)100 = E100(#^#^#^6)4 | \(f_{\omega^{\omega^{\omega^54}}}(100)\) |
Pentaelgathorquid | E100(#^#^#^6)5 | \(f_{\omega^{\omega^{\omega^55}}}(100)\) |
Pentaelgathorsid | E100(#^#^#^6)6 | \(f_{\omega^{\omega^{\omega^56}}}(100)\) |
Pentaelgathorseptuce | E100(#^#^#^6)7 | \(f_{\omega^{\omega^{\omega^57}}}(100)\) |
Pentaelgathoroctuce | E100(#^#^#^6)8 | \(f_{\omega^{\omega^{\omega^58}}}(100)\) |
Pentaelgathornonice | E100(#^#^#^6)9 | \(f_{\omega^{\omega^{\omega^59}}}(100)\) |
Pentaelgathordecice | E100(#^#^#^6)10 | \(f_{\omega^{\omega^{\omega^510}}}(100)\) |
Pentaelgathorvigintice | E100(#^#^#^6)20 | \(f_{\omega^{\omega^{\omega^520}}}(100)\) |
Pentaelgathortrigintice | E100(#^#^#^6)30 | \(f_{\omega^{\omega^{\omega^530}}}(100)\) |
Pentaelgathorquadragintice | E100(#^#^#^6)40 | \(f_{\omega^{\omega^{\omega^540}}}(100)\) |
Pentaelgathorquinquagintice | E100(#^#^#^6)50 | \(f_{\omega^{\omega^{\omega^550}}}(100)\) |
Pentaelgathorsexagintice | E100(#^#^#^6)60 | \(f_{\omega^{\omega^{\omega^560}}}(100)\) |
Pentaelgathorseptuagintice | E100(#^#^#^6)70 | \(f_{\omega^{\omega^{\omega^570}}}(100)\) |
Pentaelgathoroctogintice | E100(#^#^#^6)80 | \(f_{\omega^{\omega^{\omega^580}}}(100)\) |
Pentaelgathornonagintice | E100(#^#^#^6)90 | \(f_{\omega^{\omega^{\omega^590}}}(100)\) |
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