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In pound-star notation, the Astragol is equal to #*(10,10)*100. It is equal to 101*1,010101, or about 2.8x10305.

EtymologyEdit

The "Astra-" prefix means "star". The "-gol" ending is primarily a reference to the Googol and its relatives.

ApproximationsEdit

Notation Lower bound Upper bound
Scientific notation \(2.759\times10^{305}\) \(2.76\times10^{305}\)
Arrow notation \(598\uparrow110\) \(408\uparrow117\)
Steinhaus-Moser Notation 141[3] 142[3]
Copy notation 2[306] 3[306]
Taro's multivariable Ackermann function A(3,1011) A(3,1012)
BEAF {598,110} {408,117}
Hyper-E notation 2E305 3E305
Bashicu matrix system (0)(0)(0)(0)(0)(0)[59225] (0)(0)(0)(0)(0)(0)[59226]
Hyperfactorial array notation 169! 170!
Fast-growing hierarchy \(f_2(1004)\) \(f_2(1005)\)
Hardy hierarchy \(H_{\omega^2}(1004)\) \(H_{\omega^2}(1005)\)
Slow-growing hierarchy \(g_{\omega^{\omega+71}53}(86)\) \(g_{\omega^{\omega2+7}52}(77)\)

SourcesEdit

[1]

See AlsoEdit

Numbers By SuperJedi224

Fibonacci Numbers

Pound-Star Notation