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.
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Grangol regiment | Gigangol regiment |
List of numbers of the regiment
Name of number | Hyper-E Notation (definition) | Scientific notation (exact value) |
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Greagol | E100#100#100 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 100\quad 10's \end{matrix} \right \} \text{100 lower braces}\) |
Googolthrex | E100#1#1#2 = E100#100#googol | \(\left. \begin{matrix} &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & \underbrace{\quad \;\; \vdots \quad\;\;}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix} \right \} 10^{100}\) |
Googolplexithrex | E100#2#1#2 = E100#100#googolplex | \(\left. \begin{matrix} &&\underbrace{10^{10^{...{^{10^{100}}}}}}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & \underbrace{\quad \;\; \vdots \quad\;\;}\\ & &\underbrace{10^{10^{...{^{10^{100}}}}}} \\ & & 100\quad 10's \end{matrix} \right \} 10^{10^{100}}\) |
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
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
- ↑ Sbiis Saibian, 4.3.2 - Hyper-E Numbers
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 · Tethrennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentacthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptacthulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment
Beyond...: Blasphemorgulus regiment
Redstonepillager's extensions: Extended Gridgahlah regiment · Tethratopothoth regiment · Godsgodgulus regiment · Blasphemorgulus regiment · Blasphemordeugulus regiment · Ominongulus regiment