Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

Superior Grand Hugetrixul is equal to (...((200![200(1)200(1)200(1)200,200])![200(1)200(1)200(1)200,200])...![200(1)200(1)200(1)200,200])![200(1)200(1)200(1)200,200] (with Superior Hugetrixul parentheses), using Hyperfactorial array notation. The term was coined by Lawrence Hollom.[1]

Etymology[]

The name of this number is based on prefix "superior" and the number "Grand Hugetrixul".

Approximations[]

Notation Approximation
Bird's array notation \(\{200,\{200,2,201[1[1\neg3]200[1\neg3]200[1\neg3]200,200]2\} \\ ,201[1[1\neg3]200[1\neg3]200[1\neg3]200,200]2\}\)
Hierarchical Hyper-Nested Array Notation \(\{200,\{200,2,201[1[1/2\sim2]200[1/2\sim2]200[1/2\sim2]200,200]2\} \\ ,201[1[1/2\sim2]200[1/2\sim2]200[1/2\sim2]200,200]2\}\)
BEAF \(\{200,\{200,2,201 \\ (\{X,\{X,\{X,199X^2+199X,1,4\}+199X,1,3\}+199X,1,2\})2\} \\ ,201(\{X,\{X,\{X,199X^2+199X,1,4\}+199X,1,3\}+199X,1,2\})2\}\)[2]
Fast-growing hierarchy \(f_{\Gamma_{\varphi(2,0,\varphi(3,0,\omega199+199)+199)+199}+200}(f_{\Gamma_{\varphi(2,0,\varphi(3,0,\omega199+199)+199)+199}+199}(200))\)
Hardy hierarchy \(H_{\Gamma_{\varphi(2,0,\varphi(3,0,\omega199+199)+199)+199}\omega^{200}+\Gamma_{\varphi(2,0,\varphi(3,0,\omega199+199)+199)+199}\omega^{199}}(200)\)
Slow-growing hierarchy \(g_{\theta(\Gamma_{\varphi(2,0,\varphi(3,0,\Omega200+199)+199)+199}+200,\vartheta(\Gamma_{\varphi(2,0,\varphi(3,0,\Omega200+199)+199)+199}+199))}(200)\)

Sources[]

  1. Lawrence Hollom's large number site
  2. Using particular notation \(\{a,b (A) 2\} = A \&\ a\) with prime b.

See also[]


Hugexul group: Hugexul · Kilohugexul · Megahugexul · Gigahugexul · Terahugexul · Petahugexul · Exahugexul · Grand Hugexul · Grand Kilohugexul · Grand Megahugexul · Grand Gigahugexul · Grand Terahugexul · Grand Petahugexul · Grand Exahugexul · Bigrand Hugexul · Bigrand Kilohugexul · Bigrand Megahugexul · Trigrand Hugexul · Trigrand Kilohugexul · Trigrand Megahugexul · Quadgrand Hugexul · Quintgrand Hugexul · Superior Hugexul · Superior Kilohugexul · Superior Megahugexul · Superior Gigahugexul · Superior Grand Hugexul · Superior Grand Kilohugexul · Superior Grand Megahugexul · Superior Grand Gigahugexul · Superior Bigrand Hugexul · Superior Trigrand Hugexul · Bisuperior Hugexul · Bisuperior Kilohugexul · Bisuperior Megahugexul · Bisuperior Gigahugexul · Bisuperior Grand Hugexul · Bisuperior Grand Kilohugexul · Bisuperior Grand Megahugexul · Bisuperior Grand Gigahugexul · Bisuperior Bigrand Hugexul · Bisuperior Trigrand Hugexul
Hugebixul group: Hugebixul · Kilohugebixul · Megahugebixul · Gigahugebixul · Grand Hugebixul · Grand Kilohugebixul · Grand Megahugebixul · Grand Gigahugebixul · Bigrand Hugebixul · Trigrand Hugebixul · Superior Hugebixul · Superior Kilohugebixul · Superior Megahugebixul · Superior Grand Hugebixul · Superior Grand Kilohugebixul · Superior Grand Megahugebixul · Superior Bigrand Hugebixul · Bisuperior Hugebixul · Bisuperior Kilohugebixul · Bisuperior Megahugebixul · Bisuperior Grand Hugebixul · Bisuperior Grand Kilohugebixul · Bisuperior Grand Megahugebixul · Bisuperior Bigrand Hugebixul
Hugetrixul group: Hugetrixul · Kilohugetrixul · Megahugetrixul · Gigahugetrixul · Grand Hugetrixul · Grand Kilohugetrixul · Grand Megahugetrixul · Grand Gigahugetrixul · Bigrand Hugetrixul · Trigrand Hugetrixul · Superior Hugetrixul · Superior Kilohugetrixul · Superior Megahugetrixul · Superior Grand Hugetrixul · Superior Grand Kilohugetrixul · Superior Grand Megahugetrixul · Superior Bigrand Hugetrixul · Bisuperior Hugetrixul · Bisuperior Kilohugetrixul · Bisuperior Megahugetrixul · Bisuperior Grand Hugetrixul · Bisuperior Grand Kilohugetrixul · Bisuperior Grand Megahugetrixul · Bisuperior Bigrand Hugetrixul
Hugequaxul group: Hugequaxul · Kilohugequaxul · Megahugequaxul · Gigahugequaxul · Grand Hugequaxul · Grand Kilohugequaxul · Grand Megahugequaxul · Grand Gigahugequaxul · Bigrand Hugequaxul · Trigrand Hugequaxul · Superior Hugequaxul · Superior Kilohugequaxul · Superior Megahugequaxul · Superior Grand Hugequaxul · Superior Grand Kilohugequaxul · Superior Grand Megahugequaxul · Superior Bigrand Hugequaxul · Bisuperior Hugequaxul · Bisuperior Kilohugequaxul · Bisuperior Megahugequaxul · Bisuperior Grand Hugequaxul · Bisuperior Grand Kilohugequaxul · Bisuperior Grand Megahugequaxul · Bisuperior Bigrand Hugequaxul
Advertisement