10,974 Pages

Octalogialogue
100000.....00000

100000.....00000

100000.....00000
100000.....00000
10000000000
Octalogialogue in zeroes

Octalogialogue is equal to E1#8#2 using Hyper-E notation.[1] The term was coined by Sbiis Saibian. In arrow notation, this number is equal to $$10↑↑10↑↑8$$.

## Etymology

The 2 parts of the name, "octalogia" and "logue" means Octalogue and $$10↑↑\text{n}$$, which formed $$10↑↑10↑↑8$$ when concentrated from left to right. So the full name indicates how the number is constructed.

## Approximations in other notations

Notation Approximation
Up-arrow notation $$10 \uparrow\uparrow 10 \uparrow\uparrow 8$$ (exact)
Chained arrow notation $$10 \rightarrow (10 \rightarrow 8 \rightarrow 2) \rightarrow 2$$ (exact)
BEAF $$\{10,\{10,8,2\},2\}$$ (exact)
Hyperfactorial array notation $$(((((((13!)!)!)!)!)!)!)!1$$
Fast-growing hierarchy $$f_3(f_2^7(28))$$
Hardy hierarchy $$H_{\omega^3+(\omega^2) 7}(28)$$
Slow-growing hierarchy $$g_{\epsilon_{\omega↑↑8}}(10)$$

## Sources

1. Saibian, Sbiis. 4.3.2 - Hyper-E Notation - Large Numbers. Retrieved 2016-07-18.