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
| Name of number | Hyper-E Notation (definition) | Scientific notation (exact value) | Pronunciation |
|---|---|---|---|
| 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) | Pronunciation |
|---|---|---|---|
| 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 | Pronunciation |
|---|---|---|
| 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
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 · 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
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