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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).[1] The numbers were coined by Sbiis Saibian.

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Gulgol regiment Ginorgol regiment

List of numbers of the regiment Edit

Name of number Hyper-E Notation (definition) Arrow notation (approximation)
gaspgol E100#100#100#100#100#100#100 \(10\uparrow^7 100\)
gulgolheptex E100#100#100#100#100#100#1#2 \(10\uparrow^7 10\uparrow^6 100\)
gulgolhexiheptex E100#100#100#100#100#100#2#2 \(10\uparrow^7 10\uparrow^6 (10\uparrow^6 100)\)
gulgolduhexiheptex E100#100#100#100#100#100#3#2 \(10\uparrow^7 10\uparrow^6 (10\uparrow^6 (10\uparrow^6 100))\)
gaspgolheptex E100#100#100#100#100#100#100#2 \(10\uparrow^7 (10\uparrow^7 100)\)
gulgolduheptex E100#100#100#100#100#100#1#3 \(10\uparrow^7 (10\uparrow^7 (10\uparrow^6 100))\)
gulgolhexiduheptex E100#100#100#100#100#100#2#3 \(10\uparrow^7 (10\uparrow^7 (10\uparrow^6 (10\uparrow^6 100)))\)
gulgolduhexiduheptex E100#100#100#100#100#100#3#3 \(10\uparrow^7 (10\uparrow^7 (10\uparrow^6 (10\uparrow^6 (10\uparrow^6 100))))\)
gaspgolduheptex E100#100#100#100#100#100#100#3 \(10\uparrow^7 (10\uparrow^7 (10\uparrow^7 100))\)
gaspgolchime E1000#1000#1000#1000#1000#1000#1000 \(10\uparrow^7 1000\)
gaspgolheptexichime E1000#1000#1000#1000#1000#1000#1000#2 \(10\uparrow^7 (10\uparrow^7 1000)\)
gaspgolduheptexichime E1000#1000#1000#1000#1000#1000#1000#3 \(10\uparrow^7 (10\uparrow^7 (10\uparrow^7 1000))\)
gaspgoltoll E10,000#10,000#10,000#10,000#10,000#10,000#10,000 \(10\uparrow^7 10000\)
gaspgolheptexitoll E10,000#10,000#10,000#10,000#10,000#10,000#10,000#2 \(10\uparrow^7 (10\uparrow^7 10000)\)
gaspgolduheptexitoll E10,000#10,000#10,000#10,000#10,000#10,000#10,000#3 \(10\uparrow^7 (10\uparrow^7 (10\uparrow^7 10000))\)
gaspgolgong E100,000#100,000#100,000#100,000#100,000#100,000#100,000 \(10\uparrow^7 10^5\)
gaspgolheptexigong E100,000#100,000#100,000#100,000#100,000#100,000#100,000#2 \(10\uparrow^7 (10\uparrow^7 10^5)\)
gaspgolduheptexigong E100,000#100,000#100,000#100,000#100,000#100,000#100,000#3 \(10\uparrow^7 (10\uparrow^7 (10\uparrow^7 10^5))\)
gaspgolbong E100,000,000#100,000,000#100,000,000#

100,000,000#100,000,000#100,000,000#100,000,000

\(10\uparrow^7 10^8\)
gaspgolheptexibong E100,000,000#100,000,000#100,000,000#

100,000,000#100,000,000#100,000,000#100,000,000#2

\(10\uparrow^7 (10\uparrow^7 10^8)\)
gaspgolthrong E100,000,000,000#100,000,000,000# ... ... ... ... #100,000,000,000

w/7 100,000,000,000s

\(10\uparrow^7 10^{11}\)
gaspgolheptexithrong E100,000,000,000#100,000,000,000# ... ... ... ... #100,000,000,000#2

w/7 100,000,000,000s

\(10\uparrow^7 (10\uparrow^7 10^{11})\)
gagolchime E1#1#1#1#1#1#1000 \(10\uparrow^7 1000\)
gagoltoll E1#1#1#1#1#1#10,000 \(10\uparrow^7 10000\)
gagolgong E1#1#1#1#1#1#100,000 \(10\uparrow^7 10^5\)
gagolbong E1#1#1#1#1#1#100,000,000 \(10\uparrow^7 10^8\)
gagolthrong E1#1#1#1#1#1#100,000,000,000 \(10\uparrow^7 10^{11}\)
googolheptex E100#1#1#1#1#1#1#2 \(10\uparrow^7 10^{100}\)
grangolheptex E100#100#1#1#1#1#1#2 \(10\uparrow^7 (10\uparrow^2 100)\)
greagolheptex E100#100#100#1#1#1#1#2 \(10\uparrow^7 (10\uparrow^3 100)\)
gigangolheptex E100#100#100#100#1#1#1#2 \(10\uparrow^7 (10\uparrow^4 100)\)
gorgegolheptex E100#100#100#100#100#1#1#2 \(10\uparrow^7 (10\uparrow^5 100)\)
gaspgolplex E(E100#100#100#100#100#100#100) \(10\uparrow (10\uparrow^7 100)\)
gaspgoldex E100#(E100#100#100#100#100#100#100) \(10\uparrow^2 (10\uparrow^7 100)\)
gaspgolthrex E100#100#(E100#100#100#100#100#100#100) \(10\uparrow^3 (10\uparrow^7 100)\)
gaspgoltetrex E100#100#100#(E100#100#100#100#100#100#100) \(10\uparrow^4 (10\uparrow^7 100)\)
gaspgolpentex E100#100#100#100#(E100#100#100#100#100#100#100) \(10\uparrow^5 (10\uparrow^7 100)\)
gaspgolhex E100#100#100#100#100#(E100#100#100#100#100#100#100)

= E100#100#100#100#100#100#101

\(10\uparrow^6 (10\uparrow^7 100)\)
ecetonheptex E303#1#1#1#1#1#1#2 \(10\uparrow^7 10^{303}\)
ecetonduheptex E303#1#1#1#1#1#1#3 \(10\uparrow^7 (10\uparrow^7 10^{303})\)
tria-ennaxis E1#1#1#1#1#1#1#3 \(10\uparrow^8 3\)
tetra-ennaxis E1#1#1#1#1#1#1#4 \(10\uparrow^8 4\)
deka-ennaxis E1#1#1#1#1#1#1#10 \(10\uparrow^8 10\)
hecta-ennaxis E1#1#1#1#1#1#1#100 \(10\uparrow^8 100\)
chilia-ennaxis E1#1#1#1#1#1#1#1000 \(10\uparrow^8 1000\)
myria-ennaxis E1#1#1#1#1#1#1#10,000 \(10\uparrow^8 10000\)

Etymology Edit

Parts of names Meaning
tria 3
tetra 4
penta 5
hexa 6
hepta 7
octa 8
enna 9
deka 10
hecta 100
chilia 1000
myria 10000
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 1000
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 Edit

  1. Sbiis Saibian, 4.3.2 - Hyper-E Numbers
Saibian's regiments

Hyper-E regiments: Guppy regiment · Grangol regiment · Greagol regiment · Gigangol regiment · Gorgegol regiment · Gulgol regiment · Gaspgol regiment · Ginorgol regiment · Gargantuul regiment · Googondol regiment
Extended Hyper-E regiments: Gugold regiment · Graatagold regiment · Greegold regiment · Grinningold regiment · Golaagold regiment · Gruelohgold regiment · Gaspgold regiment · Ginorgold regiment · Gargantuuld regiment · Googondold regiment · Gugolthra regiment · Throogol regiment · Tetroogol regiment · Pentoogol regiment · Hexoogol regiment · Heptoogol regiment · Ogdoogol regiment · Entoogol regiment · Dektoogol regiment
Cascading-E regiments: Godgahlah regiment · Gridgahlah regiment · Kubikahlah regiment · Quarticahlah regiment · Quinticahlah regiment · Sexticahlah regiment · Septicahlah regiment · Octicahlah regiment · Nonicahlah regiment · Decicahlah regiment · Godgathor regiment · Gralgathor regiment · Thraelgathor regiment · Terinngathor regiment · Pentaelgathor regiment · Hexaelgathor regiment · Heptaelgathor regiment · Octaelgathor regiment · Ennaelgathor regiment · Dekaelgathor regiment · Godtothol regiment · Godtertol regiment · Godtopol regiment · Godhathor regiment · Godheptol regiment · Godoctol regiment · Godentol regiment · Goddekathol regiment
Extended Cascading-E regiments: Tethrathoth regiment · Monster-Giant regiment · Tethriterator regiment · Tethracross regiment · Tethracubor regiment · Tethrateron regiment · Tethrapeton regiment · Tethrahexon regiment · Tethrahepton regiment · Tethra-ogdon regiment · Tethraennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentaccthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptathulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment

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