Tethrathoth

Tethrathoth (or simply thoth) is equal to E100#^#^#...#^#^#100 (100 #'s) = E100#^^#100 in Extended Cascading-E Notation.Sbiis Saibian, 4.3.5 - Cascading-E NumbersSbiis Saibian's Ultimate Large Numbers List - Part III The term was coined by Sbiis Saibian. Tethrathoth is comparable to Bowers' goppatoth.
In full form (Cascading-E), this is:
E100#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#^#100.
== Etymology ==
The name of this number is based on the Egyptian God of mathemathics, Thoth, and the word "tetration".
== Approximations in other notations ==
Notation 	Approximation
BEAF 	\(X \uparrow\uparrow 99\ \&\ 100\)
Bird's array notation 	\(\{100,49 [1 \backslash 2] 2\}\)
Hyperfactorial array notation 	\(100![1,1,1,1,2]\)
X-Sequence Hyper-Exponential Notation 	\(100\{X\uparrow\uparrow X\}100\)
Username5243's Array Notation (intended)	100[0{0,11}1]50
Dollar function (intended) 	100$[[0]2]
Fast-growing hierarchy 	\(f_{\varepsilon_0}(100)\)
Hardy hierarchy 	\(H_{\varepsilon_0}(101)\)
Slow-growing hierarchy (using this system
of fundamental sequences)	\(g\)\(_{\psi_0(\Omega_2)}\)\((100)\)
==Sources==
==See also==
ja:テスラソス
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Extended Cascading-E numbers
Category:Iterated Cantor normal form level
Category:-thoth
Category:Tethrathoth series
Category:Tethrathoth — Monster-Giant