The gorgegol regiment is a series of numbers from E100#100#100#100#100 to E1#1#1#1#1#10,000 defined using Hyper-E Notation (i.e. beginning from gorgegol and up to myria-eptaxis).[1] The numbers were coined by Sbiis Saibian.
| Previous regiment | Next regiment |
|---|---|
| Gigangol regiment | Gulgol regiment |
List of numbers of the regiment[]
| Name of number | Hyper-E Notation (definition) | Arrow notation (approximation) | Fast-growing hierarchy (approximation) |
|---|---|---|---|
| Gorgegol | E100#100#100#100#100 | \(10\uparrow^5 100\) | \(f_6(100)\) |
| Gigangolpentex | E100#100#100#100#1#2 | \(10\uparrow^5 (10\uparrow^4 100)\) | \(f_6(f_5(100))\) |
| Gigangoltetrexipentex | E100#100#100#100#2#2 | \(10\uparrow^5 (10\uparrow^4 (10\uparrow^4 100))\) | \(f_6(f_5^2(100))\) |
| Gigangoldutetrexipentex | E100#100#100#100#3#2 | \(10\uparrow^5 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100)))\) | \(f_6(f_5^3(100))\) |
| Gorgegolpentex | E100#100#100#100#100#2 | \(10\uparrow^5 (10\uparrow^5 100)\) | \(f_6^2(100)\) |
| Gigangoldupentex | E100#100#100#100#1#3 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^4 100))\) | \(f_6^2(f_5(100))\) |
| Gigangoltetrexidupentex | E100#100#100#100#2#3 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^4 (10\uparrow^4 100)))\) | \(f_6^2(f_5^2(100))\) |
| Gigangoldutetrexidupentex | E100#100#100#100#3#3 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100))))\) | \(f_6^2(f_5^3(100))\) |
| Gorgegoldupentex | E100#100#100#100#100#3 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 100))\) | \(f_6^3(100)\) |
| Gigangoltripentex | E100#100#100#100#1#4 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^4 100)))\) | \(f_6^3(f_5(100))\) |
| Gigangoltetrexitripentex | E100#100#100#100#2#4 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^4 (10\uparrow^4 100))))\) | \(f_6^3(f_5^2(100))\) |
| Gigangoldutetrexitripentex | E100#100#100#100#3#4 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100)))))\) | \(f_6^3(f_5^3(100))\) |
| Gorgegoltripentex | E100#100#100#100#100#4 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 100)))\) | \(f_6^4(100)\) |
| Gorgegolquadripentex | E100#100#100#100#100#5 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 100))))\) | \(f_6^5(100)\) |
| Gorgegolquintipentex | E100#100#100#100#100#6 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 100)))))\) | \(f_6^6(100)\) |
| Gorgegolchime | E1000#1000#1000#1000#1000 | \(10\uparrow^5 1000\) | \(f_6(1000)\) |
| Gorgegolpentexichime | E1000#1000#1000#1000#1000#2 | \(10\uparrow^5 (10\uparrow^5 1000)\) | \(f_6^2(1000)\) |
| Gorgegoldupentexichime | E1000#1000#1000#1000#1000#3 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 1000))\) | \(f_6^3(1000)\) |
| Gorgegoltoll | E10,000#10,000#10,000#10,000#10,000 | \(10\uparrow^5 10000\) | \(f_6(10,000)\) |
| Gorgegolpentexitoll | E10,000#10,000#10,000#10,000#10,000#2 | \(10\uparrow^5 (10\uparrow^5 10000)\) | \(f_6^2(10,000)\) |
| Gorgegoldupentexitoll | E10,000#10,000#10,000#10,000#10,000#3 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 10000))\) | \(f_6^3(10,000)\) |
| Gorgegolgong | E100,000#100,000#100,000#100,000#100,000 | \(10\uparrow^5 10^5\) | \(f_6(100,000)\) |
| Gorgegolpentexigong | E100,000#100,000#100,000#100,000#100,000#2 | \(10\uparrow^5 (10\uparrow^5 10^5)\) | \(f_6^2(100,000)\) |
| Gorgegoldupentexigong | E100,000#100,000#100,000#100,000#100,000#3 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 10^5))\) | \(f_6^3(100,000)\) |
| Gorgegolbong | E100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000 |
\(10\uparrow^5 10^8\) | \(f_6(10^8)\) |
| Gorgegolpentexibong | E100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#2 |
\(10\uparrow^5 (10\uparrow^5 10^8)\) | \(f_6^2(10^8)\) |
| Gorgegoldupentexibong | E100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#3 |
\(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 10^8))\) | \(f_6^3(10^8)\) |
| Gorgegolthrong | E100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000 |
\(10\uparrow^5 10^{11}\) | \(f_6(10^{11})\) |
| Gorgegolpentexithrong | E100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#2 |
\(10\uparrow^5 (10\uparrow^5 10^{11})\) | \(f_6^2(10^{11})\) |
| Gorgegoldupentexithrong | E100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#3 |
\(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 10^{11}))\) | \(f_6^3(10^{11})\) |
| Gigolchime | E1#1#1#1#1000 | \(10\uparrow^5 1000\) | \(f_6(1000)\) |
| Gigoltoll | E1#1#1#1#10,000 | \(10\uparrow^5 10000\) | \(f_6(10,000)\) |
| Gigolgong | E1#1#1#1#100,000 | \(10\uparrow^5 10^5\) | \(f_6(100,000)\) |
| Gigolbong | E1#1#1#1#100,000,000 | \(10\uparrow^5 10^8\) | \(f_6(10^8)\) |
| Gigolthrong | E1#1#1#1#100,000,000,000 | \(10\uparrow^5 10^{11}\) | \(f_6(10^{11})\) |
| Googolpentex | E100#1#1#1#1#2 | \(10\uparrow^5 10^{100}\) | \(f_6(f_2(323))\) |
| Grangolpentex | E100#100#1#1#1#2 | \(10\uparrow^5 (10\uparrow^2 100)\) | \(f_6(f_3(100))\) |
| Greagolpentex | E100#100#100#1#1#2 | \(10\uparrow^5 (10\uparrow^3 100)\) | \(f_6(f_4(100))\) |
| Gorgegolplex | E(E100#100#100#100#100) | \(10\uparrow (10\uparrow^5 100)\) | \(f_2(f_6(100))\) |
| Gorgegoldex | E100#(E100#100#100#100#100) | \(10\uparrow^2 (10\uparrow^5 100)\) | \(f_3(f_6(100))\) |
| Gorgegolthrex | E100#100#(E100#100#100#100#100) | \(10\uparrow^3 (10\uparrow^5 100)\) | \(f_4(f_6(100))\) |
| Gorgegoltetrex | E100#100#100#(E100#100#100#100#100) | \(10\uparrow^4 (10\uparrow^5 100)\) | \(f_5(f_6(100))\) |
| Ecetonpentex | E303#1#1#1#1#2 | \(10\uparrow^5 10^{303}\) | \(f_6(f_2(996))\) |
| Ecetondupentex | E303#1#1#1#1#3 | \(10\uparrow^5 (10\uparrow^5 10^{303})\) | \(f_6^2(f_2(996))\) |
| Ecetontripentex | E303#1#1#1#1#4 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 10^{303}))\) | \(f_6^3(f_2(996))\) |
| Ecetonquadripentex | E303#1#1#1#1#5 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 10^{303})))\) | \(f_6^4(f_2(996))\) |
| Ecetonquintipentex | E303#1#1#1#1#6 | \(10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 (10\uparrow^5 10^{303}))))\) | \(f_6^5(f_2(996))\) |
| Tria-eptaxis | E1#1#1#1#1#3 | \(10\uparrow^6 3\) | \(f_6^2(100)\) |
| Tetra-eptaxis | E1#1#1#1#1#4 | \(10\uparrow^6 4\) | \(f_6^3(100)\) |
| Deka-eptaxis | E1#1#1#1#1#10 | \(10\uparrow^6 10\) | \(f_7(9)\) |
| Hecta-eptaxis | E1#1#1#1#1#100 | \(10\uparrow^6 100\) | \(f_7(99)\) |
| Chilia-eptaxis | E1#1#1#1#1#1000 | \(10\uparrow^6 1000\) | \(f_7(999)\) |
| Myria-eptaxis | E1#1#1#1#1#10,000 | \(10\uparrow^6 10000\) | \(f_7(9999)\) |
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