The Great Wall (named after the Chinese barrier and also as an upgrade for the Berlin Wall) is equal to E100#^^#^^#>#^^#^^#>#^^#^^#>...>#^^#^^#>#^^#^^#100 (10,000,000,000 #^^#^^#'s) in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Unlike the Berlin Wall, due to order of operations this number becomes much larger, and can be approximated as E100#^^^#10,000,000,000.

Approximations in other notations

Notation Approximation
BEAF \(X \uparrow\uparrow\uparrow X \&\ 10,000,000,000\)
Bird's array notation \(\{100,10000000000[1[1\neg3]2]2\}\)
Hyperfactorial array notation \(10,000,000,000![1(1)2]\)
Fast-growing hierarchy (with this system of fundamental sequences) \(f_{\varphi(1,0,0)}(9,999,999,999)\)
\(=f\)\(_{\Gamma_{0}}\)\((9,999,999,999)\)
Hardy hierarchy \(H_{\Gamma_{0}}(10,000,000,000)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega_2)}(10,000,000,000)\)

Sources

  1. Saibian, Sbiis. 4.3.3 - Forging Extended Cascading-E Numbers Part I. Retrieved 2014-10-01.
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