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S(3,3,2,2)

Visualization of primitolplex using up-arrow notation

Primitolplex is equal to s(3,3,2,2) in strong array notation.[1] It can be represented in chained arrow notation as \(3\rightarrow3\rightarrow3\rightarrow2\). In up arrow notation it is equal to \(3\uparrow\uparrow\cdots\uparrow\uparrow3\) with primitol arrows.

This number is also equal to s(3,2,1,3).

Etymology[]

The name of this number is based on the suffix "-plex" and the number "primitol".

Approximations[]

Notation Approximation
Bowers' Exploding Array Function \(\{3,3,1,2\}\)
Chained arrow notation \(3\rightarrow3\rightarrow3\rightarrow2\) (exact)
Hyper-E notation \(\textrm E2\#\#27\#2\)
Graham Array Notation \([3,3,27,2]\) (exact)
Hyperfactorial array notation \((4!26)![1]\)
Fast-growing hierarchy \(f_{\omega}(f_{28}(2))\)
Hardy hierarchy \(H_{\omega^{\omega}+\omega^{28}}(2)\)
Slow-growing hierarchy \(g_{\varphi(\varphi(\omega^\omega,0),0)}(3)\)

Sources[]

See also[]

Hyp cos' linear strong array notation numbers | exAN numbers
3-entry series
Tribo group: tribo · tetbo · pentbo · hexabo
Trientri group: trientri · tettro · pentro · hextro
Trientet group: triteto · trientet · penteto · hexteto
Trienpent group: tripeno · tetpeno · trienpent · hexpeno
Trienhex group: trihexo · tethexo · penhexo · trienhex

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