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Googology Wiki

Yudkowsky's Number is g3↑↑↑↑3, G of three hexated to the three, or G(G(1))=G(Grahal).[1] It was named so by Sbiis Saibian because of its mention in an article by Eliezer Yudkowsky which mentions large numbers.[2] This number can be also written as gg1.

SuperJedi224 calls this number Deutero-Grahal, as it is an extension of Aarex Tiaokhiao's Grahal.[3].

It falls between forcal and force forcal.


Notation Approximation
BEAF {3,{3,3,4},1,2}
Hyper-E notation E(3)3##3#3#4
Chained arrow notation \(3\rightarrow3\rightarrow(3\rightarrow3\rightarrow4)\rightarrow2\)
X-Sequence Hyper-Exponential Notation \(3\{X+1\}3\{X\}4\)
Strong array notation s(3,s(3,3,4),2,2)
Fast-growing hierarchy \(f_{\omega +1}(f_{4}(f_{3}(f_2(37))))\)
Hardy hierarchy \(H_{\omega^{\omega+1}+\omega^{4}+\omega^{3}+\omega^{2} } (37)\)
Slow-growing hierarchy \(g_{\varphi(1,0,\zeta_0)}(3)\)

See also


Numbers By SuperJedi224

Fibonacci Numbers

Pound-Star Notation

Based on the Faxul

Googovipleccix family

Graham Sequence Numbers

Deutero-Grahal · Trito-Grahal · Terto-Grahal

-Illion numbers