The goggolplex is equal to {10,goggol,6} in BEAF.[1] The term was coined by Jonathan Bowers. In up-arrow notation, it can be written as \(10 \uparrow^6 \text{goggol}\).

Aarex Tiaokhiao calls this number goggolhex.[2]

Etymology Edit

The name of the number is based on suffix -plex and the number goggol.

Approximations Edit

Notation Approximation
Hyper-E notation \(E1\#1\#1\#1\#1\#(E1\#1\#1\#1\#100)\) (exact)
Chained arrow notation \(10 \rightarrow (10 \rightarrow 100 \rightarrow 6) \rightarrow 6\) (exact)
Hyperfactorial array notation \((102!5)!5\)
Fast-growing hierarchy \(f_7(f_7(100))\)
Hardy hierarchy \(H_{(\omega^7) 2}(100)\)
Slow-growing hierarchy \(g_{\varphi(5,\varphi(5,0))}(100)\)

Sources Edit

  1. Template:Citation/CS1
  2. Part 1 (LAN) - Aarex Googology

See also Edit

Template:Bowers' googol series

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