The Superior Grand Enormaquaxul is equal to ((...((200![200(2)200(2)200(2)200,200])![200(2)200(2)200(2)200,200])![200(2)200(2)200(2)200,200]...)![200(2)200(2)200(2)200,200])![200(2)200(2)200(2)200,200] (with Superior Enormaquaxul parentheses), using Hyperfactorial array notation.[1]
Etymology
The name of this number is based on the word "superior" and the number "Grand Enormaquaxul".
Approximations
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{200,\{200,2,201[1[1\neg4]200[1\neg4]200[1\neg4]200[1\neg4]200,200]2\} \\ ,201[1[1\neg4]200[1\neg4]200[1\neg4]200[1\neg4]200,200]2\}\) |
| Hierarchical Hyper-Nested Array Notation | \(\{200,\{200,2,201[1[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200 \\ [1/3\sim2]200,200]2\},201[1[1/3\sim2]200 \\ [1/3\sim2]200[1/3\sim2]200[1/3\sim2]200,200]2\}\) |
| BEAF | \(\{200,\{200,2,201(\{X,\{X,\{X,\{X,199X^2+199X,1,1,5\} \\ +199X,1,1,4\}+199X,1,1,3\}+199X,1,1,2\})2\} \\ ,201(\{X,\{X,\{X,\{X,199X^2+199X,1,1,5\} \\ +199X,1,1,4\}+199X,1,1,3\}+199X,1,1,2\})2\}\)[2] |
| Fast-growing hierarchy | \(f_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\omega199+199)+199)+199)+199)+200} \\ (f_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\omega199+199)+199)+199)+199)+199}(200))\) |
| Hardy hierarchy | \(H_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\omega199+199)+199)+199)+199)\times(\omega^{200}+\omega^{199})}(200)\) |
| Slow-growing hierarchy | \(g_{\theta(\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\Omega200+199)+199)+199)+199)+200,} \\ _{\vartheta(\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\Omega200+199)+199)+199)+199)+199))}(200)\) |
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