Grand 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 Enormaquaxul parentheses), using Hyperfactorial array notation.[1]
Etymology[]
The name of this number is based on the word "grand" and the number "Enormaquaxul".
Approximations[]
Notation | Approximation |
---|---|
Bird's array notation | \(\{200,\{200,2,201[1[1\neg4]200[1\neg4]200[1\neg4]200[1\neg4]200]2\} \\ ,201[1[1\neg4]200[1\neg4]200[1\neg4]200[1\neg4]200]2\}\) |
Hierarchical Hyper-Nested Array Notation | \(\{200,\{200,2,201[1[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200]2\} \\ ,201[1[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200]2\}\) |
BEAF | \(\{200,\{200,2,201(\{X,\{X,\{X,\{X,199X,1,1,5\}+199X,1,1,4\} \\ +199X,1,1,3\}+199X,1,1,2\})2\},201(\{X,\{X,\{X, \\ \{X,199X,1,1,5\}+199X,1,1,4\}+199X,1,1,3\}+199X,1,1,2\})2\}\)[2] |
Fast-growing hierarchy (using this system of FSes) | \(f_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)+200} \\ (f_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)+199}(200))\) |
Hardy hierarchy | \(H_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)\times(\omega^{200}+\omega^{199})}(200)\) |
Slow-growing hierarchy | \(g_{\theta(\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\Omega+199)+199)+199)+199)+200,} \\ _{\vartheta(\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\Omega+199)+199)+199)+199)+199))}(200)\) |
Sources[]
- ↑ Lawrence Hollom's large numbers site
- ↑ Using particular notation \(\{a,b (A) 2\} = A \&\ a\) with prime b.