Throogol-ex-grand tethrathoth is equal to E100#^^#100#(1+E100###100) using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number belongs to the tethrathoth regiment.
Approximations[]
Notation | Approximation |
---|---|
BEAF | \(\{100,\text{throogol}+1,2 (X \uparrow\uparrow X) 2\}\)[2] |
Bird's array notation | \(\{100,\text{throogol}+1,2 [1 \backslash 2] 2\}\) \( \approx \{100,\{100,100,100,99\},2 [1 \backslash 2] 2\}\) |
Fast-growing hierarchy | \(f_{\varepsilon_{0}+1}(\text{throogol})\) \( \approx f_{\varepsilon_{0}+1}(f_{\omega^2}(100))\) |
Hardy hierarchy | \(H_{\varepsilon_{0}2}(\text{throogol})\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part I. One to Infinity. Retrieved 2017-01-02.
- ↑ Using particular notation \(\{a,b (A) 2\} = A\ \&\ a\) with prime b.