## FANDOM

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The tetralogue is equal to E1#4 = EEEE1 = 10101010 using Hyper-E notation.[1][2] It is also equal to 10^^4 in up-arrow notation. The term was coined by Sbiis Saibian.

Username5243 calls this number goodcolduplex or dooquol, and it's equal to 10[2]4 = 10[1]10[1]10[1]10 in Username5243's Array Notation.[3]

## Etymology Edit

The name of this number is based on Greek prefix "tetra-" and the suffix "-logue" for "logarithm".

## Approximations in other notations Edit

Notation Approximation
Up-arrow notation $$10 \uparrow\uparrow 4$$ (exact value)
Chained arrow notation $$10 \rightarrow 4 \rightarrow 2$$ (exact value)
Notation Array Notation $$(10\{2,2\}4)$$ (exact value)
BEAF $$\{10,4,2\}$$ (exact value)
Hyperfactorial array notation $$((13!0)!0)!0$$
Nested Factorial Notation $$13!^3$$
Fast-growing hierarchy $$f_2(f_2(f_2(28))))$$
Hardy hierarchy $$H_{(\omega^2) 3}(28)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega^\omega}}}(10)$$ (exact value)

## Sources Edit

1. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2014-11-16.
2. Saibian, Sbiis. Ultimate Large Numbers List Part I. Retrieved 2014-11-16.
3. Part 1 - My Large Numbers