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

This number is also equal to s(3,3,1,5), s(3,1,1,6), or s(3,4,1,1,2).

Etymology

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

Approximations

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

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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