Gigangol regiment

The gigangol regiment is a series of numbers from E100#100#100#100 to E1#1#1#1#10,000 defined using Hyper-E notation (i.e. beginning from gigangol and up to myria-exaxis).Sbiis Saibian, 4.3.2 - Hyper-E Numbers The numbers were coined by Sbiis Saibian.
Previous regiment	Next regiment
Greagol regiment 	Gorgegol regiment
== List of numbers of the regiment ==
Name of number 	Hyper-E Notation (definition) 	Arrow notation (approximation) 	Fast-growing hierarchy (approximation)
Gigangol 	E100#100#100#100 	\(10\uparrow^4 100\) 	\(f_5(100)\)
Greagoltetrex 	E100#100#100#1#2 	\(10\uparrow^4 (10\uparrow^3 100)\) 	\(f_5(f_4(100))\)
Greagolthrexitetrex 	E100#100#100#2#2 	\(10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))\) 	\(f_5(f_4^2(100))\)
Greagolduthrexitetrex 	E100#100#100#3#2 	\(10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))\) 	\(f_5(f_4^3(100))\)
Gigangoltetrex 	E100#100#100#100#2 = E100#100#100#gigangol 	\(10\uparrow^4 (10\uparrow^4 100)\) 	\(f_5^2(100)\)
Greagoldutetrex 	E100#100#100#1#3 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100))\) 	\(f_5^2(f_4(100))\)
Greagolthrexidutetrex 	E100#100#100#2#3 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100)))\) 	\(f_5^2(f_4^2(100))\)
Greagolduthrexidutetrex 	E100#100#100#3#3 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100))))\) 	\(f_5^2(f_4^3(100))\)
Gigangoldutetrex 	E100#100#100#100#3 = E100#100#100#gigangoltetrex	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100))\) 	\(f_5^3(100)\)
Greagoltritetrex 	E100#100#100#1#4 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100)))\) 	\(f_5^3(f_4(100))\)
Greagolthrexitritetrex 	E100#100#100#2#4 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))))\) 	\(f_5^3(f_4^2(100))\)
Greagolduthrexitritetrex 	E100#100#100#3#4 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))))\) 	\(f_5^3(f_4^3(100))\)
Gigangoltritetrex 	E100#100#100#100#4 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100)))\) 	\(f_5^4(100)\)
Greagolquadritetrex 	E100#100#100#1#5 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100))))\) 	\(f_5^4(f_4(100))\)
Greagolthrexiquadritetrex 	E100#100#100#2#5 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100)))))\) 	\(f_5^4(f_4^2(100))\)
Greagolduthrexiquadritetrex	E100#100#100#3#5 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100))))))\) 	\(f_5^4(f_4^3(100))\)
Gigangolquadritetrex 	E100#100#100#100#5 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100))))\) 	\(f_5^5(100)\)
Greagolquintitetrex 	E100#100#100#1#6 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100)))))\) 	\(f_5^5(f_4(100))\)
Greagolthrexiquintitetrex 	E100#100#100#2#6 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))))))\) 	\(f_5^5(f_4^2(100))\)
Greagolduthrexiquintitetrex	E100#100#100#3#6 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))))))\)	\(f_5^5(f_4^3(100))\)
Gigangolquintitetrex 	E100#100#100#100#6 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100)))))\) 	\(f_5^6(100)\)
Gigangolchime 	E1,000#1,000#1,000#1,000 	\(10\uparrow^4 1,000\) 	\(f_5(1000)\)
Gigangoltetrexichime 	E1,000#1,000#1,000#1,000#2 	\(10\uparrow^4 (10\uparrow^4 1,000)\) 	\(f_5^2(1000)\)
Gigangoldutetrexichime 	E1,000#1,000#1,000#1,000#3 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 1,000))\) 	\(f_5^3(1000)\)
Gigangoltoll 	E10,000#10,000#10,000#10,000 	\(10\uparrow^4 10,000\) 	\(f_5(10,000)\)
Gigangoltetrexitoll 	E10,000#10,000#10,000#10,000#2 	\(10\uparrow^4 (10\uparrow^4 10,000)\) 	\(f_5^2(10,000)\)
Gigangoldutetrexitoll 	E10,000#10,000#10,000#10,000#3 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10,000))\) 	\(f_5^3(10,000)\)
Gigangolgong 	E100,000#100,000#100,000#100,000 	\(10\uparrow^4 10^5\) 	\(f_5(100,000)\)
Gigangoltetrexigong 	E100,000#100,000#100,000#100,000#2 	\(10\uparrow^4 (10\uparrow^4 10^5)\) 	\(f_5^2(100,000)\)
Gigangoldutetrexigong 	E100,000#100,000#100,000#100,000#3 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^5))\) 	\(f_5^3(100,000)\)
Gigangolbong 	E100,000,000#100,000,000#
100,000,000#100,000,000	\(10\uparrow^4 10^8\) 	\(f_5(10^8)\)
Gigangoltetrexibong 	E100,000,000#100,000,000#
100,000,000#100,000,000#2	\(10\uparrow^4 (10\uparrow^4 10^8)\) 	\(f_5^2(10^8)\)
Gigangoldutetrexibong 	E100,000,000#100,000,000#
100,000,000#100,000,000#3	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^8))\) 	\(f_5^3(10^8)\)
Gigangolthrong 	E100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000	\(10\uparrow^4 10^{11}\) 	\(f_5(10^{11})\)
Gigangoltetrexithrong 	E100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#2	\(10\uparrow^4 (10\uparrow^4 10^{11})\) 	\(f_5^2(10^{11})\)
Gigangoldutetrexithrong 	E100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#3	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{11}))\) 	\(f_5^3(10^{11})\)
Geegolchime 	E1#1#1#1000 	\(10\uparrow^4 1000\) 	\(f_5(1000)\)
Geegoltoll 	E1#1#1#10,000 	\(10\uparrow^4 10000\) 	\(f_5(10,000)\)
Geegolgong 	E1#1#1#100,000 	\(10\uparrow^4 10^5\) 	\(f_5(100,000)\)
Geegolbong 	E1#1#1#100,000,000 	\(10\uparrow^4 10^8\) 	\(f_5(10^8)\)
Geegolthrong 	E1#1#1#100,000,000,000 	\(10\uparrow^4 10^{11}\) 	\(f_5(10^{11})\)
Googoltetrex 	E100#1#1#1#2 	\(10\uparrow^4 10^{100}\) 	\(f_5(f_2(323))\)
Googolplexitetrex 	E100#2#1#1#2 	\(10\uparrow^4 10^{10^{100}}\) 	\(f_5(f_2^2(323))\)
Grangoltetrex 	E100#100#1#1#2 	\(10\uparrow^4 (10\uparrow^2 100)\) 	\(f_5(f_3(100))\)
Grangoldexitetrex 	E100#100#2#1#2 	\(10\uparrow^4 (10\uparrow^2 (10\uparrow^2 100))\) 	\(f_5(f_3^2(100))\)
Gigangolplex 	E(E100#100#100#100) 	\(10\uparrow (10\uparrow^4 100)\) 	\(f_2(f_5(100))\)
Gigangoldex 	E100#(E100#100#100#100) 	\(10\uparrow^2 (10\uparrow^4 100)\) 	\(f_3(f_5(100))\)
Gigangolthrex 	E100#100#(E100#100#100#100) 	\(10\uparrow^3 (10\uparrow^4 100)\) 	\(f_5(101)\)
Ecetontetrex 	E303#1#1#1#2 	\(10\uparrow^4 10^{303}\) 	\(f_5(f_2(996))\)
Ecetondutetrex 	E303#1#1#1#3 	\(10\uparrow^4 (10\uparrow^4 10^{303})\) 	\(f_5^2(f_2(996))\)
Ecetontritetrex 	E303#1#1#1#4 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303}))\) 	\(f_5^3(f_2(996))\)
Ecetonquadritetrex 	E303#1#1#1#5 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303})))\) 	\(f_5^4(f_2(996))\)
Ecetonquintitetrex 	E303#1#1#1#6 	\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303}))))\) 	\(f_5^5(f_2(996))\)
Tria-exaxis 	E1#1#1#1#3 	\(10\uparrow^5 3\) 	\(f_5^2(100)\)
Tetra-exaxis 	E1#1#1#1#4 	\(10\uparrow^5 4\) 	\(f_5^3(100)\)
Deka-exaxis 	E1#1#1#1#10 	\(10\uparrow^5 10\) 	\(f_6(9)\)
Hecta-exaxis 	E1#1#1#1#100 	\(10\uparrow^5 100\) 	\(f_6(99)\)
Chilia-exaxis 	E1#1#1#1#1,000 	\(10\uparrow^5 1,000\) 	\(f_6(999)\)
Myria-exaxis 	E1#1#1#1#10,000 	\(10\uparrow^5 10,000\) 	\(f_6(9999)\)
== Constituent Etymology ==
Parts of names	
tria 	3
tetra 	4
penta 	5
hexa 	6
hepta 	7
octa 	8
enna 	9
deka 	10
hecta 	100
chilia 	1,000
myria 	10,000
ding 	multiply the base value by 5
chime 	multiply the base value by 10
bell 	multiply the base value by 50
toll 	multiply the base value by 100
gong 	multiply the base value by 1,000
bong 	multiply the base value by 106
throng 	multiply the base value by 109
gandingan 	multiply the base value by 1012
== Sources ==
Category:Saibian's regiments
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Series
Category:Up-arrow notation level