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Superior-emptolpente is equal to 500[][] using Ampersand Notation, or (500500)(500500).[1] The term was coined by Googology Wiki user CompactStar. It is equal to fz-(fz-(500)).

Etymology[]

The name is derived from the prefix superior- and the number emptolpente.

Approximations[]

Notation Approximation
Arrow notation \((500 \uparrow 500) \uparrow (500 \uparrow 500)\) (exact)
Down-arrow notation \((500 \downarrow 500) \downarrow (500 \downarrow 500)\) (exact)
Hyper-E notation \(E(4.1225908051E1352)\)
Cascading-E notation \(E(4.1225908051E1352)\)
Steinhaus-Moser Notation 500[3][3] (exact)
Fast-growing hierarchy \(f_{2}^{2}(4471)\)

Sources[]

  1. CompactStar. Ampersand Notation numbers. Retrieved Jul 23, 2022.

See also[]

Basic Ampersand Notation

Emptol group:
Unol group:
Duol group: