Gaspgol regiment

The gaspgol regiment is a series of numbers from E100#100#100#100#100#100#100 to E1#1#1#1#1#1#1#10,000 defined using Hyper-E Notation (i.e. beginning from gaspgol and up to myria-ennaxis).Sbiis Saibian, 4.3.2 - Hyper-E Numbers The numbers were coined by Sbiis Saibian.
Previous regiment	Next regiment
Gulgol regiment 	Ginorgol regiment
== List of numbers of the regiment ==
Name of number 	Hyper-E Notation (definition) 	Arrow notation (approximation) 	Fast-growing hierarchy (approximation)
Gaspgol 	E100#100#100#100#100#100#100 	\(10\uparrow^7 100\) 	\(f_8(100)\)
Gulgolheptex 	E100#100#100#100#100#100#1#2 	\(10\uparrow^7 10\uparrow^6 100\) 	\(f_8(f_7(100))\)
Gulgolhexiheptex 	E100#100#100#100#100#100#2#2 	\(10\uparrow^7 10\uparrow^6 (10\uparrow^6 100)\) 	\(f_8(f_7^2(100))\)
Gulgolduhexiheptex 	E100#100#100#100#100#100#3#2 	\(10\uparrow^7 10\uparrow^6 (10\uparrow^6 (10\uparrow^6 100))\) 	\(f_8(f_7^3(100))\)
Gaspgolheptex 	E100#100#100#100#100#100#100#2 	\(10\uparrow^7 (10\uparrow^7 100)\) 	\(f_8^2(100)\)
Gulgolduheptex 	E100#100#100#100#100#100#1#3 	\(10\uparrow^7 (10\uparrow^7 (10\uparrow^6 100))\) 	\(f_8^2(f_7(100))\)
Gulgolhexiduheptex 	E100#100#100#100#100#100#2#3 	\(10\uparrow^7 (10\uparrow^7 (10\uparrow^6 (10\uparrow^6 100)))\) 	\(f_8^2(f_7^2(100))\)
Gulgolduhexiduheptex 	E100#100#100#100#100#100#3#3 	\(10\uparrow^7 (10\uparrow^7 (10\uparrow^6 (10\uparrow^6 (10\uparrow^6 100))))\)	\(f_8^2(f_7^3(100))\)
Gaspgolduheptex 	E100#100#100#100#100#100#100#3 	\(10\uparrow^7 (10\uparrow^7 (10\uparrow^7 100))\) 	\(f_8^3(100)\)
Gaspgolchime 	E1000#1000#1000#1000#1000#1000#1000 	\(10\uparrow^7 1000\) 	\(f_8(1000)\)
Gaspgolheptexichime 	E1000#1000#1000#1000#1000#1000#1000#2 	\(10\uparrow^7 (10\uparrow^7 1000)\) 	\(f_8^2(1000)\)
Gaspgolduheptexichime	E1000#1000#1000#1000#1000#1000#1000#3 	\(10\uparrow^7 (10\uparrow^7 (10\uparrow^7 1000))\) 	\(f_8^3(1000)\)
Gaspgoltoll 	E10,000#10,000#10,000#10,000#10,000#10,000#10,000 	\(10\uparrow^7 10000\) 	\(f_8(10,000)\)
Gaspgolheptexitoll 	E10,000#10,000#10,000#10,000#10,000#10,000#10,000#2 	\(10\uparrow^7 (10\uparrow^7 10000)\) 	\(f_8^2(10,000)\)
Gaspgolduheptexitoll 	E10,000#10,000#10,000#10,000#10,000#10,000#10,000#3 	\(10\uparrow^7 (10\uparrow^7 (10\uparrow^7 10000))\) 	\(f_8^3(10,000)\)
Gaspgolgong 	E100,000#100,000#100,000#100,000#100,000#100,000#100,000 	\(10\uparrow^7 10^5\) 	\(f_8(100,000)\)
Gaspgolheptexigong 	E100,000#100,000#100,000#100,000#100,000#100,000#100,000#2 	\(10\uparrow^7 (10\uparrow^7 10^5)\) 	\(f_8^2(100,000)\)
Gaspgolduheptexigong 	E100,000#100,000#100,000#100,000#100,000#100,000#100,000#3 	\(10\uparrow^7 (10\uparrow^7 (10\uparrow^7 10^5))\) 	\(f_8^3(100,000)\)
Gaspgolbong 	E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000 	\(10\uparrow^7 10^8\) 	\(f_8(10^8)\)
Gaspgolheptexibong 	E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2 	\(10\uparrow^7 (10\uparrow^7 10^8)\) 	\(f_8^2(10^8)\)
Gaspgolthrong 	E100,000,000,000#100,000,000,000# ... ... ... ... #100,000,000,000w/7 100,000,000,000s 	\(10\uparrow^7 10^{11}\) 	\(f_8(10^{11})\)
Gaspgolheptexithrong 	E100,000,000,000#100,000,000,000# ... ... ... ... #100,000,000,000#2w/7 100,000,000,000s	\(10\uparrow^7 (10\uparrow^7 10^{11})\) 	\(f_8^2(10^{11})\)
Gagolchime 	E1#1#1#1#1#1#1000 	\(10\uparrow^7 1000\) 	\(f_8(1000)\)
Gagoltoll 	E1#1#1#1#1#1#10,000 	\(10\uparrow^7 10000\) 	\(f_8(10,000)\)
Gagolgong 	E1#1#1#1#1#1#100,000 	\(10\uparrow^7 10^5\) 	\(f_8(100,000)\)
Gagolbong 	E1#1#1#1#1#1#100,000,000 	\(10\uparrow^7 10^8\) 	\(f_8(10^8)\)
Gagolthrong 	E1#1#1#1#1#1#100,000,000,000 	\(10\uparrow^7 10^{11}\) 	\(f_8(10^{11})\)
Googolheptex 	E100#1#1#1#1#1#1#2 	\(10\uparrow^7 10^{100}\) 	\(f_8(f_2(323))\)
Grangolheptex 	E100#100#1#1#1#1#1#2 	\(10\uparrow^7 (10\uparrow^2 100)\) 	\(f_8(f_3(100))\)
Greagolheptex 	E100#100#100#1#1#1#1#2 	\(10\uparrow^7 (10\uparrow^3 100)\) 	\(f_8(f_4(100))\)
Gigangolheptex 	E100#100#100#100#1#1#1#2 	\(10\uparrow^7 (10\uparrow^4 100)\) 	\(f_8(f_5(100))\)
Gorgegolheptex 	E100#100#100#100#100#1#1#2 	\(10\uparrow^7 (10\uparrow^5 100)\) 	\(f_8(f_6(100))\)
Gaspgolplex 	E(E100#100#100#100#100#100#100) 	\(10\uparrow (10\uparrow^7 100)\) 	\(f_2(f_8(100))\)
Gaspgoldex 	E100#(E100#100#100#100#100#100#100) 	\(10\uparrow^2 (10\uparrow^7 100)\) 	\(f_3(f_8(100))\)
Gaspgolthrex 	E100#100#(E100#100#100#100#100#100#100) 	\(10\uparrow^3 (10\uparrow^7 100)\) 	\(f_4(f_8(100))\)
Gaspgoltetrex 	E100#100#100#(E100#100#100#100#100#100#100) 	\(10\uparrow^4 (10\uparrow^7 100)\) 	\(f_5(f_8(100))\)
Gaspgolpentex 	E100#100#100#100#(E100#100#100#100#100#100#100) 	\(10\uparrow^5 (10\uparrow^7 100)\) 	\(f_6(f_8(100))\)
Gaspgolhex 	E100#100#100#100#100#(E100#100#100#100#100#100#100)= E100#100#100#100#100#100#101 	\(10\uparrow^6 (10\uparrow^7 100)\) 	\(f_7(f_8(100))\)
Ecetonheptex 	E303#1#1#1#1#1#1#2 	\(10\uparrow^7 10^{303}\) 	\(f_8(f_2(996))\)
Ecetonduheptex 	E303#1#1#1#1#1#1#3 	\(10\uparrow^7 (10\uparrow^7 10^{303})\) 	\(f_8^2(f_2(996))\)
Tria-ennaxis 	E1#1#1#1#1#1#1#3 	\(10\uparrow^8 3\) 	\(f_8^2(100)\)
Tetra-ennaxis 	E1#1#1#1#1#1#1#4 	\(10\uparrow^8 4\) 	\(f_8^3(100)\)
Deka-ennaxis 	E1#1#1#1#1#1#1#10 	\(10\uparrow^8 10\) 	\(f_9(9)\)
Hecta-ennaxis 	E1#1#1#1#1#1#1#100 	\(10\uparrow^8 100\) 	\(f_9(99)\)
Chilia-ennaxis 	E1#1#1#1#1#1#1#1000 	\(10\uparrow^8 1000\) 	\(f_9(999)\)
Myria-ennaxis 	E1#1#1#1#1#1#1#10,000 	\(10\uparrow^8 10000\) 	\(f_9(9999)\)
== Etymology ==
Parts of names	Meaning
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 \(10^6\)
throng 	multiply the base value by \(10^9\)
gandingan 	multiply the base value by \(10^{12}\)
== Sources ==
Category:Saibian's regiments
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Series
Category:Up-arrow notation level