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The tethra-enliath is equal to E100(#^^#)^(#^^#)^#8 using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Etymology[]

The name of this number is based on the number tethraduliath and the Greek prefix "enna-", meaning 9.

Approximations in other notations[]

Notation Approximation
BEAF \(\{100,100((X \uparrow\uparrow X)^9) 2\}\)[2]
Bird's array notation \(\{100,50 [1[1\backslash 2]9 \backslash 2] 2\}\)
Hyperfactorial array notation \(100![1,[1,1,9,1,2],[1],1,2]\)
Fast-growing hierarchy \(f_{\varepsilon_0^{\varepsilon_0^8}}(100)\)
Hardy hierarchy \(H_{\varepsilon_0^{\varepsilon_0^{\varepsilon_0^8}}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\varepsilon_{\Omega 2}^{\varepsilon_{\Omega 2}^7\varepsilon_{\Omega+1}})}(100)\)

Sources[]

  1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2017-02-16.
  2. Using particular notation \(\{a,b (A) 2\} = A\ \&\ a\) with prime b.
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