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Great gugolthra is equal to E100###3#2 = E100###gugolthra using Extended Hyper-E notation.[1] The term was coined by Sbiis Saibian.

Approximations in other notations

Notation Approximation
BEAF \(\{100,101,99,\{100,101,99,2\}\}\)
Chained arrow notation \(100 \rightarrow_2 (100 \rightarrow_2 3)\)
X-Sequence Hyper-Exponential Notation \(100\{X^2\}100\{X^2\}3\)
Fast-growing hierarchy \(f_{\omega^2}(f_{\omega 2}(100))\)
Hardy hierarchy \(H_{(\omega^{\omega^2})+\omega^{\omega 2}}(100)\)
Slow-growing hierarchy (with this system of fundamental sequences) \(g_{\varphi(\varphi(1,99,0),99,0)}(100)\)

Sources

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