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Tethrathoth-by-godgathor is equal to E100#^^#*#^#^#100 using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number belongs to the tethrathoth regiment.

Approximations in other notations[]

Notation Approximation
BEAF \(\{100,100 (X \uparrow\uparrow X) (0,1) 2\}\) [2]
Bird's array notation \(\{100,100[1 \backslash 2]1[1,2]2\}\)
Fast-growing hierarchy \(f_{\varepsilon_0 \omega^{\omega^{\omega}}}(100)\)
\(f_{\omega^{\varepsilon_0+\omega^{\omega^{\omega}}}}(100)\)
Hardy hierarchy \(H_{\varepsilon_0^{\omega^{\omega}}}(101)\)
\(H_{\omega^{\omega^{\varepsilon_0+\omega^{\omega^{\omega}}}}}(101)\)

Sources[]

  1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2017-01-02.
  2. Using particular notation \(\{a,b (X \uparrow\uparrow X)(X \uparrow\uparrow X)\cdots(X \uparrow\uparrow X) c \#\}\) for \(\{X \uparrow\uparrow b\ \&\ a (X \uparrow\uparrow X) X \uparrow\uparrow b\ \&\ a (X \uparrow\uparrow X)\cdots X \uparrow\uparrow b\ \&\ a (X \uparrow\uparrow X) c-1 \#\}\)
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