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Visualization of primitoltriplex using up-arrow notation

Primitoltriplex is equal to s(3,5,2,2) in strong array notation.[1] It can be represented in chained arrow notation as \(3\rightarrow3\rightarrow5\rightarrow2\). In up arrow notation it is equal to \(3\uparrow\uparrow\cdots\uparrow\uparrow3\) with primitolbiplex arrows.

Etymology

The name of this number is based on the prefix "tri-" and the number "primitolplex".

Approximations

Notation Approximation
BEAF \(\{3,5,1,2\}\)
Hyper-E notation \(\textrm E2\#\#27\#4\)
Chained arrow notation \(3\rightarrow3\rightarrow5\rightarrow2\) (exact)
Hyperfactorial array notation \((((4!26)![1])![1])![1]\)
Fast-growing hierarchy \(f_{\omega}(f_{\omega}(f_{\omega}(f_{28}(2))))\)
Hardy hierarchy \(H_{\omega^{\omega}4}(28)\)
Slow-growing hierarchy \(g_{\varphi(\varphi(\varphi(\varphi(\omega^\omega,0),0),0),0)}(3)\)

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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