Visualization of primitolplex using up-arrow notation

The 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).


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


Notation Approximation
BEAF \(\{3,3,1,2\}\)
Hyper-E notation \(E2\#\#27\#2\)
Chained arrow notation \(3\rightarrow3\rightarrow3\rightarrow2\) (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 \(g_{\varphi(\varphi(\omega^\omega,0),0)}(3)\)


  1. Numbers from linear array notation | Steps Toward Infinity!

See alsoEdit

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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