Ultra Behemoth is a number made by Jonah Nichols, or XYZeed, and it is equal to \(10\uparrow\uparrow\uparrow10\uparrow\uparrow10\uparrow 1500\).[1]

Approximations

Notation Approximation
BEAF {10,{10,{10,1500},2},3} (exact)
Bird's array notation {10,{10,{10,1500},2},3} (exact)
Hyper-E notation E1#1#(E1#(E1500)) (exact)
Chained arrow notation \(10 \rightarrow (10 \rightarrow (10 \rightarrow 1500) \rightarrow 2) \rightarrow 3\) (exact)
Fast-growing hierarchy \(f_4(f_3(f_2(4971)))\)
Hardy hierarchy H_{\omega^4+\omega^3+\omega^2}(4971)\)
Slow-growing hierarchy \(g_{\zeta_{\varepsilon_{\omega^{1500}}}}(10)\)

Sources

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