The gugolthra-ex-grand tethrathoth is equal to E100#^^#100#(1+E100###3) using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Etymology[]
The name of this number is based on the number gugolthra and the number "grand tethrathoth".
Approximations[]
Notation | Approximation |
---|---|
BEAF | \(\{100,\text{gugolthra}+2,2(X\uparrow\uparrow X)2\}\)[2] |
X-Sequence Hyper-Exponential Notation | \(100\{(X\uparrow \uparrow X)+1\}100\{X*2\}101\) |
Bird's array notation | \(\{100,\text{gugolthra}+2,2[1\backslash2]2\}\) |
Hyperfactorial array notation | \(\text{gugolthra}![2,1,1,1,2]\) |
Fast-growing hierarchy | \(f_{\varepsilon_0+1}(\text{gugolthra}+1)\) |
Hardy hierarchy | \(H_{\varepsilon_0\omega}(\text{gugolthra}+1)\) |
Slow-growing hierarchy | \(g_{\vartheta(\varepsilon_{\Omega2})}(\text{gugolthra}+1)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part I. One to Infinity. Retrieved 2017-01-02.
- ↑ Using particular notation \(\{a,b (A) 2\} = A\ \&\ a\) with prime b.