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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 $$g_{\varphi(3,0,\varphi(3,0,\varphi(1,2,0)))}(3)$$