The Trigrand Enormaquaxul is equal to ((...((200![200(2)200(2)200(2)200])![200(2)200(2)200(2)200])![200(2)200(2)200(2)200]...)![200(2)200(2)200(2)200])![200(2)200(2)200(2)200] (with Bigrand Enormaquaxul parentheses), using Hyperfactorial array notation. The term was coined by Lawrence Hollom.[1]
Etymology
The name of this number is based on prefix "tri-" and the number "Grand Enormaquaxul".
Approximations
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{200,5,202[1[1\neg4]200[1\neg4]200[1\neg4]200[1\neg4]200]2\}\) |
| Hierarchical Hyper-Nested Array Notation | \(\{200,5,202[1[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200]2\}\) |
| BEAF | \(\{200,5,202(\{X,\{X,\{X,\{X,199X,1,1,5\} \\ +199X,1,1,4\}+199X,1,1,3\}+199X,1,1,2\})2\}\)[2] |
| Fast-growing hierarchy | \(f_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)+200}^3 \\ (f_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)+199}(200))\) |
| Hardy hierarchy | \(H_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)\times(\omega^{200}3+\omega^{199})}(200)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\Omega+199)+199)+199)+199)+201)}(4)\) |
Sources
- ↑ Lawrence Hollom's large numbers site
- ↑ Using particular notation \(\{a,b (A) 2\} = A \&\ a\) with prime b.
See also
Template:Enourmaxul factorial numbers