10,973 Pages

The heptaelgathor regiment is a series of numbers from E100(#^#^#^7)100 to E100(#^#^#^8)90 defined using Cascading-E notation (i.e. beginning from heptaelgathor and up to heptaelgathornonagintice).[1] The numbers were coined by Sbiis Saibian.

 Previous regiment Next regiment Hexaelgathor regiment Octaelgathor regiment

## List of numbers of the regiment

 Name of number Cascading-E notation (definition) Fast-growing hierarchy (approximation) Heptaelgathor E100#^#^#######100 = E100(#^#^#^7)100 $$f_{\omega^{\omega^{\omega^7}}}(100)$$ Grand heptaelgathor E100(#^#^#^7)100#2 $$f_{\omega^{\omega^{\omega^7}}}^2(100)$$ Grangol-carta-heptaelgathor E100(#^#^#^7)100#100 $$f_{\omega^{\omega^{\omega^7}}+1}(100)$$ Godgahlah-carta-heptaelgathor E100(#^#^#^7)100#^#100 $$f_{\omega^{\omega^{\omega^7}}+\omega^{\omega}}(100)$$ Godgathor-carta-heptaelgathor E100(#^#^#^7)100#^#^#100 $$f_{\omega^{\omega^{\omega^7}}+\omega^{\omega^\omega}}(100)$$ Gralgathor-carta-heptaelgathor E100(#^#^#^7)100#^#^##100 $$f_{\omega^{\omega^{\omega^7}}+\omega^{\omega^{\omega^2}}}(100)$$ Thraelgathor-carta-heptaelgathor E100(#^#^#^7)100#^#^###100 $$f_{\omega^{\omega^{\omega^7}}+\omega^{\omega^{\omega^3}}}(100)$$ Terinngathor-carta-heptaelgathor E100(#^#^#^7)100#^#^####100 $$f_{\omega^{\omega^{\omega^7}}+\omega^{\omega^{\omega^4}}}(100)$$ Pentaelgathor-carta-heptaelgathor E100(#^#^#^7)100(#^#^#^5)100 $$f_{\omega^{\omega^{\omega^7}}+\omega^{\omega^{\omega^5}}}(100)$$ Hexaelgathor-carta-heptaelgathor E100(#^#^#^7)100(#^#^#^6)100 $$f_{\omega^{\omega^{\omega^7}}+\omega^{\omega^{\omega^6}}}(100)$$ Heptaeltrigathor E100(#^#^#^7)100(#^#^#^7)100 $$f_{\omega^{\omega^{\omega^7}}2}(100)$$ Heptaeltergathor E100(#^#^#^7)*#4 $$f_{\omega^{\omega^{\omega^7}}3}(100)$$ Heptaelpeggathor E100(#^#^#^7)*#5 $$f_{\omega^{\omega^{\omega^7}}4}(100)$$ Heptaelhexgathor E100(#^#^#^7)*#6 $$f_{\omega^{\omega^{\omega^7}}5}(100)$$ Heptaelhepgathor E100(#^#^#^7)*#7 $$f_{\omega^{\omega^{\omega^7}}6}(100)$$ Heptael-ahtgathor E100(#^#^#^7)*#8 $$f_{\omega^{\omega^{\omega^7}}7}(100)$$ Heptael-enngathor E100(#^#^#^7)*#9 $$f_{\omega^{\omega^{\omega^7}}8}(100)$$ Heptaeldekagathor E100(#^#^#^7)*#10 $$f_{\omega^{\omega^{\omega^7}}9}(100)$$ Heptaelgathor-by-hyperion E100(#^#^#^7)*#100 $$f_{\omega^{\omega^{\omega^7}+1}}(100)$$ Heptaelgathor-by-godgahlah E100(#^#^#^7)*#^#100 $$f_{\omega^{\omega^{\omega^7}+\omega}}(100)$$ Heptaelgathor-by-godgathor E100(#^#^#^7)*#^#^#100 $$f_{\omega^{\omega^{\omega^7}+\omega^\omega}}(100)$$ Heptaelgathor-by-gralgathor E100(#^#^#^7)*#^#^##100 $$f_{\omega^{\omega^{\omega^7}+\omega^{\omega^2}}}(100)$$ Heptaelgathor-by-thraelgathor E100(#^#^#^7)*#^#^###100 $$f_{\omega^{\omega^{\omega^7}+\omega^{\omega^3}}}(100)$$ Heptaelgathor-by-terinngathor E100(#^#^#^7)*#^#^####100 $$f_{\omega^{\omega^{\omega^7}+\omega^{\omega^4}}}(100)$$ Heptaelgathor-by-pentaelgathor E100(#^#^#^7)*(#^#^#^5)100 $$f_{\omega^{\omega^{\omega^7}+\omega^{\omega^5}}}(100)$$ Heptaelgathor-by-hexaelgathor E100(#^#^#^7)*(#^#^#^6)100 $$f_{\omega^{\omega^{\omega^7}+\omega^{\omega^6}}}(100)$$ Deutero-heptaelgathor E100(#^#^#^7)*(#^#^#^7)100 $$f_{\omega^{\omega^{\omega^7}2}}(100)$$ Trito-heptaelgathor E100(#^#^#^7)*(#^#^#^7)*(#^#^#^7)100 $$f_{\omega^{\omega^{\omega^7}3}}(100)$$ Teterto-heptaelgathor E100#^(#^#^7*#)4 $$f_{\omega^{\omega^{\omega^7}4}}(100)$$ Pepto-heptaelgathor E100#^(#^#^7*#)5 $$f_{\omega^{\omega^{\omega^7}5}}(100)$$ Exto-heptaelgathor E100#^(#^#^7*#)6 $$f_{\omega^{\omega^{\omega^7}6}}(100)$$ Epto-heptaelgathor E100#^(#^#^7*#)7 $$f_{\omega^{\omega^{\omega^7}7}}(100)$$ Ogdo-heptaelgathor E100#^(#^#^7*#)8 $$f_{\omega^{\omega^{\omega^7}8}}(100)$$ Ento-heptaelgathor E100#^(#^#^7*#)9 $$f_{\omega^{\omega^{\omega^7}9}}(100)$$ Dekato-heptaelgathor E100#^(#^#^7*#)10 $$f_{\omega^{\omega^{\omega^7}10}}(100)$$ isosto-heptaelgathor E100#^(#^#^7*#)20 $$f_{\omega^{\omega^{\omega^7}20}}(100)$$ trianto-heptaelgathor E100#^(#^#^7*#)30 $$f_{\omega^{\omega^{\omega^7}30}}(100)$$ saranto-heptaelgathor E100#^(#^#^7*#)40 $$f_{\omega^{\omega^{\omega^7}40}}(100)$$ peninto-heptaelgathor E100#^(#^#^7*#)50 $$f_{\omega^{\omega^{\omega^7}50}}(100)$$ exinto-heptaelgathor E100#^(#^#^7*#)60 $$f_{\omega^{\omega^{\omega^7}60}}(100)$$ ebdominto-heptaelgathor E100#^(#^#^7*#)70 $$f_{\omega^{\omega^{\omega^7}70}}(100)$$ ogdonto-heptaelgathor E100#^(#^#^7*#)80 $$f_{\omega^{\omega^{\omega^7}80}}(100)$$ eneninto-heptaelgathor E100#^(#^#^7*#)90 $$f_{\omega^{\omega^{\omega^7}90}}(100)$$ hecato-heptaelgathor E100#^(#^#^7*#)100 $$f_{\omega^{\omega^{\omega^7+1}}}(100)$$ heptaelgridgathor E100#^(#^#^7*##)100 $$f_{\omega^{\omega^{\omega^7+2}}}(100)$$ heptaelkubikgathor E100#^(#^#^7*###)100 $$f_{\omega^{\omega^{\omega^7+3}}}(100)$$ heptaelquarticgathor E100#^(#^#^7*####)100 $$f_{\omega^{\omega^{\omega^7+4}}}(100)$$ heptaelgodgathgathor E100#^(#^#^7*#^#)100 $$f_{\omega^{\omega^{\omega^7+\omega}}}(100)$$ heptaelgralgathgathor E100#^(#^#^7*#^##)100 $$f_{\omega^{\omega^{\omega^7+\omega^2}}}(100)$$ heptaelthraelgathgathor E100#^(#^#^7*#^###)100 $$f_{\omega^{\omega^{\omega^7+\omega^3}}}(100)$$ heptaelterinngathgathor E100#^(#^#^7*#^####)100 $$f_{\omega^{\omega^{\omega^7+\omega^4}}}(100)$$ heptaelpentaelgathgathor E100#^(#^#^7*#^#^5)100 $$f_{\omega^{\omega^{\omega^7+\omega^5}}}(100)$$ heptaelhexaelgathgathor E100#^(#^#^7*#^#^6)100 $$f_{\omega^{\omega^{\omega^7+\omega^6}}}(100)$$ heptaelgathordeus E100#^(#^#^7*#^#^7)100 $$f_{\omega^{\omega^{\omega^72}}}(100)$$ heptaelgathortruce E100#^(#^#^7*#^#^7*#^#^7)100 $$f_{\omega^{\omega^{\omega^73}}}(100)$$ heptaelgathorquad E100(#^#^#^8)4 $$f_{\omega^{\omega^{\omega^74}}}(100)$$ heptaelgathorquid E100(#^#^#^8)5 $$f_{\omega^{\omega^{\omega^75}}}(100)$$ heptaelgathorsid E100(#^#^#^8)6 $$f_{\omega^{\omega^{\omega^76}}}(100)$$ heptaelgathorseptuce E100(#^#^#^8)7 $$f_{\omega^{\omega^{\omega^77}}}(100)$$ heptaelgathoroctuce E100(#^#^#^8)8 $$f_{\omega^{\omega^{\omega^78}}}(100)$$ heptaelgathornonice E100(#^#^#^8)9 $$f_{\omega^{\omega^{\omega^79}}}(100)$$ heptaelgathordecice E100(#^#^#^8)10 $$f_{\omega^{\omega^{\omega^710}}}(100)$$ heptaelgathorvigintice E100(#^#^#^8)20 $$f_{\omega^{\omega^{\omega^720}}}(100)$$ heptaelgathortrigintice E100(#^#^#^8)30 $$f_{\omega^{\omega^{\omega^730}}}(100)$$ heptaelgathorquadragintice E100(#^#^#^8)40 $$f_{\omega^{\omega^{\omega^740}}}(100)$$ heptaelgathorquinquagintice E100(#^#^#^8)50 $$f_{\omega^{\omega^{\omega^750}}}(100)$$ heptaelgathorsexagintice E100(#^#^#^8)60 $$f_{\omega^{\omega^{\omega^760}}}(100)$$ heptaelgathorseptuagintice E100(#^#^#^8)70 $$f_{\omega^{\omega^{\omega^770}}}(100)$$ heptaelgathoroctogintice E100(#^#^#^8)80 $$f_{\omega^{\omega^{\omega^780}}}(100)$$ heptaelgathornonagintice E100(#^#^#^8)90 $$f_{\omega^{\omega^{\omega^790}}}(100)$$

## Sources

1. Saibian, Sbiis. Cascading-E Numbers. Retrieved 2017-10-13.
Community content is available under CC-BY-SA unless otherwise noted.