FANDOM


The greagol regiment is a series of numbers from E100#100#100 to E1#1#1#10,000 defined using Hyper-E Notation (i.e. beginning from greagol and up to myria-petaxis).[1] The numbers were coined by Sbiis Saibian.

Previous regiment Next regiment
Grangol regiment Gigangol regiment

List of numbers of the regiment Edit

Name of number Hyper-E Notation (definition) Scientific notation (exact value)
greagol E100#100#100 
\left.
\begin{matrix}
\underbrace{10^{...^{10^{100}}}} \\
\underbrace{\quad\;\; \vdots \quad\;\;} \\
\underbrace{10^{...^{10^{100}}}} \\
100\quad 10's
\end{matrix}
\right \} \text{100 lower braces}
grangolthrex E100#100#1#2 = E100#100#grangol \left. \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \}  \underbrace{10^{10^{...{^{10^{100}}}}}}_{100\quad 10's}
grangoldexithrex E100#100#2#2 = E100#100#grangoldex \left. \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \}  \underbrace{10^{10^{...{^{10^{100}}}}}}_{\underbrace{10^{10^{...{^{10^{100}}}}}}_{100\quad 10's}}
grangoldudexithrex E100#100#3#2 = E100#100#grangoldudex \left. \left.\begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \}  \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\& & 100\quad 10's \end{matrix}  \right \} \text {3 lower braces}
greagolthrex E100#100#100#2 = E100#100#(E100#100#100) = E100#100#greagol \left. \left.\begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \}  \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \text {100 lower braces}
grangolduthrex E100#100#1#3 = E100#100#grangol#2 \left. \left.\begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \underbrace{10^{10^{...{^{10^{100}}}}}}_{100\quad 10's}
grangoldexiduthrex E100#100#2#3 = E100#100#grangoldex#2 \left. \left.\begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \underbrace{10^{10^{...{^{10^{100}}}}}}_{\underbrace{10^{10^{...{^{10^{100}}}}}}_{100\quad 10's}}
grangoldudexiduthrex E100#100#3#3 = E100#100#grangoldudex#2 \left. \left.\left.\begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}} \\&&\underbrace{10^{10^{...{^{10^{100}}}}}} \\&&\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \text {3 lower braces}
greagolduthrex E100#100#100#3 = E100#100#(E100#100#100#2) = E100#100#greagolthrex \left. \left.\left.\begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \}  \begin{matrix}  &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\  & & \underbrace{\quad \;\; \vdots \quad\;\;}\\  & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix}  \right \} \text {100 lower braces}
Name of number Hyper-E Notation (definition) Arrow notation (approximation)
grangoltrithrex E100#100#1#4 = E100#100#grangol#3 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^2(101))))\)
grangoldexitrithrex E100#100#2#4 = E100#100#grangoldex#3 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 3)))\)
grangoldudexitrithrex E100#100#3#4 = E100#100#grangoldudex#3 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 4)))\)
greagoltrithrex E100#100#100#4 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 101)))\)
grangolquadrithrex E100#100#1#5 = E100#100#grangol#4 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^2(101)))))\)
grangoldexiquadrithrex E100#100#2#5 = E100#100#grangoldex#4 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 3))))\)
grangoldudexiquadrithrex E100#100#3#5 = E100#100#grangoldudex#4 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 4))))\)
greagolquadrithrex E100#100#100#5 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 101))))\)
grangolquintithrex E100#100#1#6 = E100#100#grangol#5 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^2(101))))))\)
grangoldexiquintithrex E100#100#2#6 = E100#100#grangoldex#5 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 3)))))\)
grangoldudexiquintithrex E100#100#3#6 = E100#100#grangoldudex#5 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 4)))))\)
greagolquintithrex E100#100#100#6 \(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3(10\uparrow^3 101)))))\)
greagolsextithrex E100#100#100#7 \(10\uparrow^4 8\)
greagolseptithrex E100#100#100#8 \(10\uparrow^4 9\)
greagoloctithrex E100#100#100#9 \(10\uparrow^4 10\)
greagolnonithrex E100#100#100#10 \(10\uparrow^4 11\)
greagoldecithrex E100#100#100#11 \(10\uparrow^4 12\)
greagolthrexichime E1000#1000#1000#2 \(10\uparrow^3 (10\uparrow^3 (1001))\)
greagolduthrexichime E1000#1000#1000#3 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (1001)))\)
greagoltrithrexichime E1000#1000#1000#4 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (1001))))\)
greagolquadrithrexichime E1000#1000#1000#5 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (1001)))))\)
greagolquintithrexichime E1000#1000#1000#6 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (1001))))))\)
greagoltoll E10,000#10,000#10,000 \(10\uparrow^3 (10^4)\)
greagolthrexitoll E10,000#10,000#10,000#2 \(10\uparrow^3 (10\uparrow^3 (10^4))\)
greagolduthrexitoll E10,000#10,000#10,000#3 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^4)))\)
greagoltrithrexitoll E10,000#10,000#10,000#4 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^4)))\)
greagolquadrithrexitoll E10,000#10,000#10,000#5 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^4))))\)
greagolquintithrexitoll E10,000#10,000#10,000#6 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^4)))))\)
greagolgong E100,000#100,000#100,000 \(10\uparrow^3 (10^5)\)
greagolthrexigong E100,000#100,000#100,000#2 \(10\uparrow^3 (10\uparrow^3 (10^5))\)
greagolduthrexigong E100,000#100,000#100,000#3 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^5)))\)
greagoltrithrexigong E100,000#100,000#100,000#4 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^5))))\)
greagolquadrithrexigong E100,000#100,000#100,000#5 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^5)))))\)
greagolquintithrexigong E100,000#100,000#100,000#6 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^5))))))\)
greagolbong E100,000,000#100,000,000#100,000,000 \(10\uparrow^3 (10^8)\)
greagolthrexibong E100,000,000#100,000,000#100,000,000#2 \(10\uparrow^3 (10\uparrow^3 (10^8))\)
greagolduthrexibong E100,000,000#100,000,000#100,000,000#3 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^8)))\)
greagolthrong E100,000,000,000#100,000,000,000#100,000,000,000 \(10\uparrow^3 (10^{11})\)
greagolthrexithrong E100,000,000,000#100,000,000,000#100,000,000,000#2 \(10\uparrow^3 (10\uparrow^3 (10^{11}))\)
greagolduthrexithrong E100,000,000,000#100,000,000,000#100,000,000,000#3 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^{11})))\)
gaggolchime E1#1#1000 \(10\uparrow^3 1000\)
gaggoltoll E1#1#10,000 \(10\uparrow^3 10000\)
gaggolgong E1#1#100,000 \(10\uparrow^3 100000\)
gaggolbong E1#1#100,000,000 \(10\uparrow^3 10^8\)
gaggolthrong E1#1#100,000,000,000 \(10\uparrow^3 10^{11}\)
googolthrex E100#1#1#2 = E100#1#googol \(10\uparrow^3 10^{100}\)
googolplexithrex E100#2#1#2 = E100#2#googolplex \(10\uparrow^3 10^{10^{10^{100}}}\)
googoldexithrex E100#1#2#2 = E100#1#(E100#1#2) \(10\uparrow^3 (10\uparrow^2 (10^{100}))\)
greagolplex E(E100#100#100) \(10\uparrow (10\uparrow^3 (101))\)
greagoldex E100#(E100#100#100) = E100#100#101 \(10\uparrow^2 (10\uparrow^3 (101))\)
ecetonthrex E303#1#1#2 = E303#1#(E303) = E303#1#centillion \(10\uparrow^3 (10^{303})\)
ecetonduthrex E303#1#1#3 = E303#1#ecetonthrex \(10\uparrow^3 (10\uparrow^3 (10^{303}))\)
ecetontrithrex E303#1#1#4 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^{303})))\)
ecetonquadrithrex E303#1#1#5 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^{303}))))\)
ecetonquintithrex E303#1#1#6 \(10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 (10^{303})))))\)
tria-petaxis E1#1#1#3 = E1#1#deka-taxis \(10\uparrow^4 3\)
tetra-petaxis E1#1#1#4 = E1#1#tria-petaxis \(10\uparrow^4 4\)
penta-petaxis E1#1#1#5 = E1#1#tetra-petaxis \(10\uparrow^4 5\)
hexa-petaxis E1#1#1#6 = E1#1#penta-petaxis \(10\uparrow^4 6\)
hepta-petaxis E1#1#1#7 = E1#1#hexa-petaxis \(10\uparrow^4 7\)
octa-petaxis E1#1#1#8 = E1#1#hepta-petaxis \(10\uparrow^4 8\)
enna-petaxis E1#1#1#9 = E1#1#octa-petaxis \(10\uparrow^4 9\)
deka-petaxis E1#1#1#10 = E1#1#enna-petaxis \(10\uparrow^4 10\)
hecta-petaxis E1#1#1#100 \(10\uparrow^4 100\)
chilia-petaxis E1#1#1#1000 \(10\uparrow^4 1000\)
myria-petaxis E1#1#1#10,000 \(10\uparrow^4 10000\)

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

Ad blocker interference detected!


Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.