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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[]

  1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2017-01-02.
  2. Using particular notation \(\{a,b (A) 2\} = A\ \&\ a\) with prime b.
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