## FANDOM

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The Tritet Jr. is equal to $$4 \uparrow\uparrow 4$$ in up-arrow notation[1], or $$\lbrace 4,4,2 \rbrace$$ in BEAF.[2] The number used to be called tritet, a much larger number named and renamed by Jonathan Bowers. Sbiis Saibian coined the new name. Using Alistair Cockburn's megafuga- prefix, Tritet Jr. can be named "megafugafour".[3] It can also be named "boogafour" using the booga- prefix, or "troogatwo" using the trooga- prefix.

It is approximately $$10^{8.0723 \times 10^{153}}$$, meaning that it's somewhat larger than a googolplex. The decimal expansion of Tritet Jr. is: 23,610,226,714,597,313,206............36,860,456,095,261,392,896. The leading digits are computed using logarithms and the terminating digits are computed using modular exponentiation.

Its exact value can be computed using basic laws of algebra: $$4\uparrow\uparrow4 = 4^{4^{4^{4}}} = 4^{4^{256}} = 4^{2^{512}} = 2^{2^{513}}$$.

It is currently unknown, whether its successor, which is the 513th Fermat number, is composite or prime.[4]

Wiki user Hyp cos calls this number a tetbo, and it's equal to s(4,4,2), s(4,2,3), s(4,2,1,2), or s(4,2{2}2) in strong array notation. [5]

## -illion name Edit

Using Jonathan Bower's -illions series, some -illion name terms for Tritet Jr. are:

## Approximations Edit

Notation Approximation
Scientific notation $$10^{8.0723\times10^{153}}$$
Up-arrow notation $$4 \uparrow\uparrow 4$$ (exact)

or $$2 \uparrow 2 \uparrow 513$$ (also exact)

BEAF $$\{4,4,2\}$$ (exact)
Hyper-E notation $$E(4)1\#4$$ (exact)
Chained arrow notation $$4\rightarrow4\rightarrow2$$ (exact)
Hyperfactorial array notation $$(9.92477321 \times 10^{150}!)$$
Fast-growing hierarchy $$f_2(f_2(504))$$
Hardy hierarchy $$H_{\omega^2 2}(504)$$
Slow-growing hierarchy $$g_{\varepsilon_0}(4)$$ (exact)