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Googology Wiki

The truprimitol is equal to s(3,2,2,4) in strong array notation.[1] It can be represented in chained arrow notation as \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\rightarrow2\).


The name of this number is based on the prefix "tru-" and the number "primitol".


Notation Approximation
Bowers Exploding Array Function \(\{3,3,1,4\}\)
Hyper-E notation \(E2\#\#2\#\#2\#\#(E2\#\#27\#26\#2)\)
Chained arrow notation \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\rightarrow2\) (exact)
Hyperfactorial array notation \(((26![3])![3])![1,3]\)
Fast-growing hierarchy \(f_{\omega3}(f_{\omega+2}(26))\)
Hardy hierarchy \(H_{\omega^{\omega3}+\omega^{\omega+2}}(26)\)
Slow-growing hierarchy \(g_{\varphi(2,\varphi(1,2,0),0)}(3)\)


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