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Visualization of primitrolplex using up-arrow notation

The primitrolplex is equal to s(3,3,4,2) in strong array notation.[1] It can be represented in chained arrow notation as \(3\rightarrow3\rightarrow3\rightarrow4\).


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


Notation Approximation
Bowers Exploding Array Function \(\{3,3,3,2\}\)
Hyper-E notation \(E2\#\#27\#26\#26\#2\)
Chained arrow notation \(3\rightarrow3\rightarrow3\rightarrow4\) (exact)
Hyperfactorial array notation \((26![3])![3]\)
Fast-growing hierarchy \(f_{\omega+2}(f_{\omega+2}(26))\)
Hardy hierarchy \(H_{\omega^{\omega+2}2}(26)\)
Slow-growing hierarchy \(g_{\varphi(1,1,\varphi(1,1,0))}(27)\)


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