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Exto-tethrafact is equal to E100(#^^#)^##6 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number belongs to the tethrathoth regiment.

Etymology[]

The name of this number is based on the prefix "exto-" and the number "tethrafact".

Approximations in other notations[]

Notation Approximation
BEAF \(\{100,6(X \uparrow\uparrow X*X^2) 2\}\)[2]
Bird's array notation \(\{100,100 [2 \backslash 2] 1 [2 \backslash 2] 1 [2 \backslash 2] 1 [2 \backslash 2] 1 [2 \backslash 2] 1 [2 \backslash 2] 2\}\)
Fast-growing hierarchy \(f_{\varepsilon_0^{\omega6}}(100)\)
\(f_{\omega^{\omega^{\varepsilon_0+1}6}}(100)\)
Hardy hierarchy \(H_{\varepsilon_0^{\varepsilon_0^{\omega6}}}(100)\)

Sources[]

  1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2016-01-30.
  2. Using particular notation \(\{a,b (A) 2\}\) with prime b.
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