Grangolbit

The grangolbit is equal to \(\underbrace{2^{...^{2^{100}}}}_{100\quad 2's}\)= 2^100#100 using Hyper-E notation. The term was coined by Sbiis Saibian. It is equal to a power tower of 100 twos topped with 100.
== Approximations in other notations ==
Notation 	Lower bound 	Upper bound
Arrow notation 	\(22 \uparrow\uparrow 101\) 	\(23 \uparrow\uparrow 101\)
Down-arrow notation 	\(22 \downarrow\downarrow\downarrow 101\)	\(23 \downarrow\downarrow\downarrow 101\)
Steinhaus-Moser Notation 	99[4] 	100[4]
Chained arrow notation 	\(22 \rightarrow 101 \rightarrow 2\) 	\(23 \rightarrow 101 \rightarrow 2\)
BEAF 	\(\{22,101,2\}\) 	\(\{23,101,2\}\)
Hyperfactorial array notation	\(103!1\) 	\(104!1\)
Bird's array notation 	\(\{22,101,2\}\) 	\(\{23,101,2\}\)
Strong array notation 	\(s(22,101,2)\) 	\(s(23,101,2)\)
Nested factorial notation 	\(99![2]\) 	\(100![2]\)
Fast-growing hierarchy 	\(f_3(99)\) 	\(f_3(100)\)
Hardy hierarchy 	\(H_{\omega^3}(99)\) 	\(H_{\omega^3}(100)\)
Slow-growing hierarchy 	\(g_{\varepsilon_0}(100)\) 	\(g_{\varepsilon_0}(101)\)
== Sources ==
== See also ==
* Grangol regiment
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Hyper-E numbers
Category:Tetration level
Category:Powers of 2