Boogol

The boogol is equal to \(\{10,10,100\}\) in BEAF.^[1] It is equal to \(10\underbrace{\uparrow\uparrow\cdots\uparrow\uparrow}_{100}10 = 10 \uparrow^{100} 10\) in up-arrow notation. The term was coined by Jonathan Bowers.

This number is equal to \(10[0,1]100\) in UNAN, and Username5243 calls this number a kiloogol (formerly megoogol).^[2]

Aarex Tiaokhiao called this number gurea and it is equal to s(10,100,1,2) = s(10,10,100,1) = s(10,10,100) in strong array notation.^[3]

Etymology

The name of the number is based on Latin prefix "bi-" and the number "googol".

Computation

Boogol can be computed in the following process:

• \(a_1 = 10\)
• \(a_2 = \{10,10,99\}\)
• \(a_3 = \{10,a_2,99\}\)
• \(a_4 = \{10,a_3,99\}\)
• etc.
• Boogol is equal to \(a_{10}\).

Approximations in other notations

Pronunciation

Sources

1. ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
2. ↑ Username5243. shortened list - My Large Numbers. Retrieved March 2017.
3. ↑ Tiaokhiao, Aarex. Aarex's Googology - SAN. Retrieved May 2020.

See also