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Quintgrand faxul visualization

Visualization of quintgrand faxul using nested factorials.

The quintgrand faxul is equal to ((...((200!)!)!...)!)![1] with quadgrand faxul ()'s or 200(!200(!200(!200(!200(!200!+1)+1)+1)+1)+1) using Nested Factorial Notation. The term was coined by Lawrence Hollom.

Etymology[]

The name of this number is based on Latin prefix "quint-" and the number "grand faxul".

Approximations in other notations[]

Notation Approximation
Hyper-E notation \(E10\#(E375)\#5\)
Up-arrow notation \(10 \uparrow\uparrow (10 \uparrow\uparrow (10 \uparrow\uparrow (10 \uparrow\uparrow (10 \uparrow\uparrow(10 \uparrow 375)))))\)
Chained arrow notation \(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 375) \rightarrow 2) \rightarrow 2) \rightarrow 2) \rightarrow 2) \rightarrow 2\)
BEAF \(\{10,\{10,\{10,\{10,\{10,\{10,375\},2\},2\},2\},2\},2\}\)
Fast-growing hierarchy \(f^5_3(f_2(1\,235))\)
Hardy hierarchy \(H_{(\omega^3) 5+\omega^2}(200)\)
Slow-growing hierarchy \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^\omega}}}}}}(200)\)

Sources[]

See also[]

Hyperfactorial array notation numbers: Minor Faxul Group | Major (Giaxul)

Faxul group: Faxul (Kilo- · Mega- · Giga- · Tera- · Peta- · Exa- · Grand (Kilo- · Mega- · Giga- · Tera- · Peta- · Exa-) · Bigrand (Kilo- · Mega-) · Trigrand (Kilo-) · Quadgrand · Quintgrand)
Expofaxul group: Expofaxul (Kilo- · Mega- · Giga- · Tera- · Peta- · Exa- · Grand (Kilo- · Mega- · Giga- · Tera- · Peta- · Exa-) · Bigrand (Kilo- · Mega-) · Trigrand (Kilo-) · Quadgrand · Quintgrand)
Tetrofaxul group: Tetrofaxul (Kilo- · Mega- · Giga- · Tera- · Peta- · Exa- · Grand (Kilo- · Mega- · Giga- · Tera- · Peta- · Exa-) · Bigrand (Kilo- · Mega-) · Trigrand (Kilo-) · Quadgrand · Quintgrand)
Pentofaxul group: Pentofaxul (Kilo- · Mega- · Giga- · Grand (Kilo- · Mega- · Giga-) · Bigrand · Trigrand)
Hexofaxul group: Hexofaxul (Kilo- · Mega- · Giga- · Grand (Kilo- · Mega- · Giga-) · Bigrand · Trigrand)
Heptofaxul group: Heptofaxul · Octofaxul
Hyperfaxul group: Hyperfaxul (Kilo- · Mega- · Giga- · Tera- · Peta- · Exa- · Grand (Kilo- · Mega- · Giga- · Tera- · Peta- · Exa-) · Bigrand (Kilo- · Mega-) · Trigrand (Kilo- · Mega-) · Quadgrand · Quintgrand)
Redstonepillager's extensions: Dopperfaxul · Googaxul
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