Gargantuul regiment

The gargantuul regiment is a series of numbers from E100#100#100#100#100#100#100#100#100 to E1#1#1#1#1#1#1#1#1#10,000 defined using Hyper-E Notation (i.e. beginning from gargantuul and up to myria-endekaxis).Sbiis Saibian, 4.3.2 - Hyper-E Numbers The numbers were coined by Sbiis Saibian.
Previous regiment	Next regiment
Ginorgol regiment	Googondol regiment
== List of numbers of the regiment ==
Name of number 	Hyper-E Notation (definition) 	Arrow notation (approximation) 	Fast-growing hierarchy (approximation)
gargantuul 	E100#100#100#100#100#100#100#100#100 	\(10\uparrow^9 100\) 	\(f_{10}(100)\)
ginorgolennex 	E100#100#100#100#100#100#100#100#1#2 	\(10\uparrow^9 (10\uparrow^8 100)\) 	\(f_{10}(f_9(100))\)
ginorgoloctexiennex 	E100#100#100#100#100#100#100#100#2#2 	\(10\uparrow^9 (10\uparrow^8 (10\uparrow^8 100))\) 	\(f_{10}(f_9^2(100))\)
ginorgolduoctexiennex 	E100#100#100#100#100#100#100#100#3#2 	\(10\uparrow^9 (10\uparrow^8 (10\uparrow^8 (10\uparrow^8 100)))\) 	\(f_{10}(f_9^3(100))\)
gargantuulennex 	E100#100#100#100#100#100#100#100#100#2 	\(10\uparrow^9 (10\uparrow^9 100)\) 	\(f_{10}^2(100)\)
ginorgolduennex 	E100#100#100#100#100#100#100#100#1#3 	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^8 100))\) 	\(f_{10}^2(f_9(100))\)
ginorgoloctexiduennex 	E100#100#100#100#100#100#100#100#2#3 	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^8 (10\uparrow^8 100)))\) 	\(f_{10}^2(f_9^2(100))\)
ginorgolduoctexiduennex 	E100#100#100#100#100#100#100#100#3#3 	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^8 (10\uparrow^8 (10\uparrow^8 100))))\)	\(f_{10}^2(f_9^3(100))\)
gargantuulduennex 	E100#100#100#100#100#100#100#100#100#3 	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 100))\) 	\(f_{10}^3(100)\)
gargantuulchime 	E1000#1000#1000#1000#1000#1000#1000#1000#1000 	\(10\uparrow^9 1000\) 	\(f_{10}(1000)\)
gargantuulennexichime 	E1000#1000#1000#1000#1000#1000#1000#1000#1000#2	\(10\uparrow^9 (10\uparrow^9 1000)\) 	\(f_{10}^2(1000)\)
gargantuulennexichime 	E1000#1000#1000#1000#1000#1000#1000#1000#1000#3	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 1000))\) 	\(f_{10}^3(1000)\)
gargantuultoll 	E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000	\(10\uparrow^9 10^4\) 	\(f_{10}(10,000)\)
gargantuulennexitoll 	E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#2	\(10\uparrow^9 (10\uparrow^9 10^4)\) 	\(f_{10}^2(10,000)\)
gargantuulduennexitoll 	E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#3	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 10^4))\) 	\(f_{10}^3(10,000)\)
gargantuulgong 	E100,000#100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000	\(10\uparrow^9 10^5\) 	\(f_{10}(100,000)\)
gargantuulennexigong 	E100,000#100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#2	\(10\uparrow^9 (10\uparrow^9 10^5)\) 	\(f_{10}^2(100,000)\)
gargantuulduennexigong 	E100,000#100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#3	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 10^5))\) 	\(f_{10}^3(100,000)\)
gargantuulbong 	E100,000,000#100,000,000#100,000,000# ...
...100,000,000#100,000,000#100,000,000
w/9 100,000,000s	\(10\uparrow^9 10^8\) 	\(f_{10}(10^8)\)
gargantuulennexibong 	E100,000,000#100,000,000#100,000,000# ...
... #100,000,000#100,000,000#100,000,000#2
w/9 100,000,000s	\(10\uparrow^9 (10\uparrow^9 10^8)\) 	\(f_{10}^2(10^8)\)
gargantuulduennexibong 	E100,000,000#100,000,000#100,000,000# ...
... #100,000,000#100,000,000#100,000,000#3
w/9 100,000,000s	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 10^8))\) 	\(f_{10}^3(10^8)\)
gargantuulthrong 	E100,000,000,000#100,000,000,000# ...
...#100,000,000,000#100,000,000,000
w/9 100,000,000,000s	\(10\uparrow^9 10^{11}\) 	\(f_{10}(10^{11})\)
gargantuulennexithrong 	E100,000,000,000#100,000,000,000# ...
... #100,000,000,000#100,000,000,000#2
w/9 100,000,000,000s	\(10\uparrow^9 (10\uparrow^9 10^{11})\) 	\(f_{10}^2(10^{11})\)
gargantuulduennexithrong	E100,000,000,000#100,000,000,000# ...
... #100,000,000,000#100,000,000,000#3
w/9 100,000,000,000s	\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 10^{11}))\) 	\(f_{10}^3(10^{11})\)
googolennex 	E100#1#1#1#1#1#1#1#1#2 	\(10\uparrow^9 10^{100}\) 	\(f_{10}(f_2(323))\)
grangolennex 	E100#100#1#1#1#1#1#1#1#2 	\(10\uparrow^9 (10 \uparrow^2 100)\) 	\(f_{10}(f_3(100))\)
greagolennex 	E100#100#100#1#1#1#1#1#1#2 	\(10\uparrow^9 (10 \uparrow^3 100)\) 	\(f_{10}(f_4(100))\)
gigangolennex 	E100#100#100#100#1#1#1#1#1#2 	\(10\uparrow^9 (10 \uparrow^4 100)\) 	\(f_{10}(f_5(100))\)
gorgegolennex 	E100#100#100#100#100#1#1#1#1#2 	\(10\uparrow^9 (10 \uparrow^5 100)\) 	\(f_{10}(f_6(100))\)
gulgolennex 	E100#100#100#100#100#100#1#1#1#2 	\(10\uparrow^9 (10 \uparrow^6 100)\) 	\(f_{10}(f_7(100))\)
gaspgolennex 	E100#100#100#100#100#100#100#1#1#2 	\(10\uparrow^9 (10 \uparrow^7 100)\) 	\(f_{10}(f_8(100))\)
gargantuulplex 	E(E100#100#100#100#100#100#100#100#100) 	\(10\uparrow (10 \uparrow^9 100)\) 	\(f_2(f_{10}(100))\)
gargantuuldex 	E100#(E100#100#100#100#100#100#100#100#100) 	\(10\uparrow^2 (10 \uparrow^9 100)\) 	\(f_3(f_{10}(100))\)
gargantuulthrex 	E100#100#
(E100#100#100#100#100#100#100#100#100)	\(10\uparrow^3 (10 \uparrow^9 100)\) 	\(f_4(f_{10}(100))\)
gargantuultetrex 	E100#100#100#
(E100#100#100#100#100#100#100#100#100)	\(10\uparrow^4 (10 \uparrow^9 100)\) 	\(f_5(f_{10}(100))\)
gargantuulpentex 	E100#100#100#100#
(E100#100#100#100#100#100#100#100#100)	\(10\uparrow^5 (10 \uparrow^9 100)\) 	\(f_6(f_{10}(100))\)
gargantuulhex 	E100#100#100#100#100#
(E100#100#100#100#100#100#100#100#100)	\(10\uparrow^6 (10 \uparrow^9 100)\) 	\(f_7(f_{10}(100))\)
gargantuulheptex 	E100#100#100#100#100#100#
(E100#100#100#100#100#100#100#100#100)	\(10\uparrow^7 (10 \uparrow^9 100)\) 	\(f_8(f_{10}(100))\)
gargantuuloctex 	E100#100#100#100#100#100#100#
(E100#100#100#100#100#100#100#100#100)
= E100#100#100#100#100#100#100#100#101	\(10\uparrow^8 (10 \uparrow^9 100)\) 	\(f_9(f_{10}(100))\)
ecetonennex 	E303#1#1#1#1#1#1#1#1#2 	\(10 \uparrow^9 10^{303}\) 	\(f_{10}(f_2(996))\)
ecetonduennex 	E303#1#1#1#1#1#1#1#1#3 	\(10 \uparrow^9 (10 \uparrow^9 10^{303})\) 	\(f_{10}^2(f_2(996))\)
tria-endekaxis 	E1#1#1#1#1#1#1#1#1#3 	\(10 \uparrow^{10} 3\) 	\(f_{10}^2(100)\)
tetra-endekaxis 	E1#1#1#1#1#1#1#1#1#4 	\(10 \uparrow^{10} 4\) 	\(f_{10}^3(100)\)
deka-endekaxis 	E1#1#1#1#1#1#1#1#1#10 	\(10 \uparrow^{10} 10\) 	\(f_{11}(9)\)
hecta-endekaxis 	E1#1#1#1#1#1#1#1#1#100 	\(10 \uparrow^{10} 100\) 	\(f_{11}(99)\)
chilia-endekaxis 	E1#1#1#1#1#1#1#1#1#1000 	\(10 \uparrow^{10} 1000\) 	\(f_{11}(999)\)
myria-endekaxis 	E1#1#1#1#1#1#1#1#1#10,000 	\(10 \uparrow^{10} 10000\) 	\(f_{11}(9999)\)
== Sources ==
Category:Saibian's regiments
Category:Numbers by Sbiis Saibian
Category:Numbers
Category:Series
Category:Up-arrow notation level