Googology Wiki
Googology Wiki

Visualization of primitetolplex using up-arrow notation

The primitetolplex is equal to s(3,3,5,2) in strong array notation.[1] It can be represented in chained arrow notation as \(3\rightarrow3\rightarrow3\rightarrow5\).


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


Notation Approximation
Bowers Exploding Array Function \(\{3,3,4,2\}\)
Hyper-E notation \(E2\#\#27\#26\#26\#26\#2\)
Chained arrow notation \(3\rightarrow3\rightarrow3\rightarrow5\) (exact)
Hyperfactorial array notation \((26![4])![4]\)
Fast-growing hierarchy \(f_{\omega+3}(f_{\omega+3}(26))\)
Hardy hierarchy \(H_{\omega^{\omega+3}2}(26)\)
Slow-growing hierarchy \(g_{\varphi(1,2,\varphi(1,2,0))}(27)\)


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