The gargantuul regiment is a series of numbers from E100#100#100#100#100#100#100#100#100 to E1#1#1#1#1#1#1#1#1#10,000 defined using Hyper-E Notation (i.e. beginning from gargantuul and up to myria-endekaxis).[1] The numbers were coined by Sbiis Saibian.
| Previous regiment | Next regiment |
|---|---|
| Ginorgol regiment | Googondol regiment |
List of numbers of the regiment[]
| Name of number | Hyper-E Notation (definition) | Arrow notation (approximation) | Fast-growing hierarchy (approximation) |
|---|---|---|---|
| gargantuul | E100#100#100#100#100#100#100#100#100 | \(10\uparrow^9 100\) | \(f_{10}(100)\) |
| ginorgolennex | E100#100#100#100#100#100#100#100#1#2 | \(10\uparrow^9 (10\uparrow^8 100)\) | \(f_{10}(f_9(100))\) |
| ginorgoloctexiennex | E100#100#100#100#100#100#100#100#2#2 | \(10\uparrow^9 (10\uparrow^8 (10\uparrow^8 100))\) | \(f_{10}(f_9^2(100))\) |
| ginorgolduoctexiennex | E100#100#100#100#100#100#100#100#3#2 | \(10\uparrow^9 (10\uparrow^8 (10\uparrow^8 (10\uparrow^8 100)))\) | \(f_{10}(f_9^3(100))\) |
| gargantuulennex | E100#100#100#100#100#100#100#100#100#2 | \(10\uparrow^9 (10\uparrow^9 100)\) | \(f_{10}^2(100)\) |
| ginorgolduennex | E100#100#100#100#100#100#100#100#1#3 | \(10\uparrow^9 (10\uparrow^9 (10\uparrow^8 100))\) | \(f_{10}^2(f_9(100))\) |
| ginorgoloctexiduennex | E100#100#100#100#100#100#100#100#2#3 | \(10\uparrow^9 (10\uparrow^9 (10\uparrow^8 (10\uparrow^8 100)))\) | \(f_{10}^2(f_9^2(100))\) |
| ginorgolduoctexiduennex | E100#100#100#100#100#100#100#100#3#3 | \(10\uparrow^9 (10\uparrow^9 (10\uparrow^8 (10\uparrow^8 (10\uparrow^8 100))))\) | \(f_{10}^2(f_9^3(100))\) |
| gargantuulduennex | E100#100#100#100#100#100#100#100#100#3 | \(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 100))\) | \(f_{10}^3(100)\) |
| gargantuulchime | E1000#1000#1000#1000#1000#1000#1000#1000#1000 | \(10\uparrow^9 1000\) | \(f_{10}(1000)\) |
| gargantuulennexichime | E1000#1000#1000#1000#1000#1000#1000#1000#1000#2 | \(10\uparrow^9 (10\uparrow^9 1000)\) | \(f_{10}^2(1000)\) |
| gargantuulennexichime | E1000#1000#1000#1000#1000#1000#1000#1000#1000#3 | \(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 1000))\) | \(f_{10}^3(1000)\) |
| gargantuultoll | E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000 |
\(10\uparrow^9 10^4\) | \(f_{10}(10,000)\) |
| gargantuulennexitoll | E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#2 |
\(10\uparrow^9 (10\uparrow^9 10^4)\) | \(f_{10}^2(10,000)\) |
| gargantuulduennexitoll | E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#3 |
\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 10^4))\) | \(f_{10}^3(10,000)\) |
| gargantuulgong | E100,000#100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000 |
\(10\uparrow^9 10^5\) | \(f_{10}(100,000)\) |
| gargantuulennexigong | E100,000#100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#2 |
\(10\uparrow^9 (10\uparrow^9 10^5)\) | \(f_{10}^2(100,000)\) |
| gargantuulduennexigong | E100,000#100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#3 |
\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 10^5))\) | \(f_{10}^3(100,000)\) |
| gargantuulbong | E100,000,000#100,000,000#100,000,000# ...
...100,000,000#100,000,000#100,000,000 w/9 100,000,000s |
\(10\uparrow^9 10^8\) | \(f_{10}(10^8)\) |
| gargantuulennexibong | E100,000,000#100,000,000#100,000,000# ...
... #100,000,000#100,000,000#100,000,000#2 w/9 100,000,000s |
\(10\uparrow^9 (10\uparrow^9 10^8)\) | \(f_{10}^2(10^8)\) |
| gargantuulduennexibong | E100,000,000#100,000,000#100,000,000# ...
... #100,000,000#100,000,000#100,000,000#3 w/9 100,000,000s |
\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 10^8))\) | \(f_{10}^3(10^8)\) |
| gargantuulthrong | E100,000,000,000#100,000,000,000# ...
...#100,000,000,000#100,000,000,000 w/9 100,000,000,000s |
\(10\uparrow^9 10^{11}\) | \(f_{10}(10^{11})\) |
| gargantuulennexithrong | E100,000,000,000#100,000,000,000# ...
... #100,000,000,000#100,000,000,000#2 w/9 100,000,000,000s |
\(10\uparrow^9 (10\uparrow^9 10^{11})\) | \(f_{10}^2(10^{11})\) |
| gargantuulduennexithrong | E100,000,000,000#100,000,000,000# ...
... #100,000,000,000#100,000,000,000#3 w/9 100,000,000,000s |
\(10\uparrow^9 (10\uparrow^9 (10\uparrow^9 10^{11}))\) | \(f_{10}^3(10^{11})\) |
| googolennex | E100#1#1#1#1#1#1#1#1#2 | \(10\uparrow^9 10^{100}\) | \(f_{10}(f_2(323))\) |
| grangolennex | E100#100#1#1#1#1#1#1#1#2 | \(10\uparrow^9 (10 \uparrow^2 100)\) | \(f_{10}(f_3(100))\) |
| greagolennex | E100#100#100#1#1#1#1#1#1#2 | \(10\uparrow^9 (10 \uparrow^3 100)\) | \(f_{10}(f_4(100))\) |
| gigangolennex | E100#100#100#100#1#1#1#1#1#2 | \(10\uparrow^9 (10 \uparrow^4 100)\) | \(f_{10}(f_5(100))\) |
| gorgegolennex | E100#100#100#100#100#1#1#1#1#2 | \(10\uparrow^9 (10 \uparrow^5 100)\) | \(f_{10}(f_6(100))\) |
| gulgolennex | E100#100#100#100#100#100#1#1#1#2 | \(10\uparrow^9 (10 \uparrow^6 100)\) | \(f_{10}(f_7(100))\) |
| gaspgolennex | E100#100#100#100#100#100#100#1#1#2 | \(10\uparrow^9 (10 \uparrow^7 100)\) | \(f_{10}(f_8(100))\) |
| gargantuulplex | E(E100#100#100#100#100#100#100#100#100) | \(10\uparrow (10 \uparrow^9 100)\) | \(f_2(f_{10}(100))\) |
| gargantuuldex | E100#(E100#100#100#100#100#100#100#100#100) | \(10\uparrow^2 (10 \uparrow^9 100)\) | \(f_3(f_{10}(100))\) |
| gargantuulthrex | E100#100#
(E100#100#100#100#100#100#100#100#100) |
\(10\uparrow^3 (10 \uparrow^9 100)\) | \(f_4(f_{10}(100))\) |
| gargantuultetrex | E100#100#100#
(E100#100#100#100#100#100#100#100#100) |
\(10\uparrow^4 (10 \uparrow^9 100)\) | \(f_5(f_{10}(100))\) |
| gargantuulpentex | E100#100#100#100#
(E100#100#100#100#100#100#100#100#100) |
\(10\uparrow^5 (10 \uparrow^9 100)\) | \(f_6(f_{10}(100))\) |
| gargantuulhex | E100#100#100#100#100#
(E100#100#100#100#100#100#100#100#100) |
\(10\uparrow^6 (10 \uparrow^9 100)\) | \(f_7(f_{10}(100))\) |
| gargantuulheptex | E100#100#100#100#100#100#
(E100#100#100#100#100#100#100#100#100) |
\(10\uparrow^7 (10 \uparrow^9 100)\) | \(f_8(f_{10}(100))\) |
| gargantuuloctex | E100#100#100#100#100#100#100#
(E100#100#100#100#100#100#100#100#100) = E100#100#100#100#100#100#100#100#101 |
\(10\uparrow^8 (10 \uparrow^9 100)\) | \(f_9(f_{10}(100))\) |
| ecetonennex | E303#1#1#1#1#1#1#1#1#2 | \(10 \uparrow^9 10^{303}\) | \(f_{10}(f_2(996))\) |
| ecetonduennex | E303#1#1#1#1#1#1#1#1#3 | \(10 \uparrow^9 (10 \uparrow^9 10^{303})\) | \(f_{10}^2(f_2(996))\) |
| tria-endekaxis | E1#1#1#1#1#1#1#1#1#3 | \(10 \uparrow^{10} 3\) | \(f_{10}^2(100)\) |
| tetra-endekaxis | E1#1#1#1#1#1#1#1#1#4 | \(10 \uparrow^{10} 4\) | \(f_{10}^3(100)\) |
| deka-endekaxis | E1#1#1#1#1#1#1#1#1#10 | \(10 \uparrow^{10} 10\) | \(f_{11}(9)\) |
| hecta-endekaxis | E1#1#1#1#1#1#1#1#1#100 | \(10 \uparrow^{10} 100\) | \(f_{11}(99)\) |
| chilia-endekaxis | E1#1#1#1#1#1#1#1#1#1000 | \(10 \uparrow^{10} 1000\) | \(f_{11}(999)\) |
| myria-endekaxis | E1#1#1#1#1#1#1#1#1#10,000 | \(10 \uparrow^{10} 10000\) | \(f_{11}(9999)\) |
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