Ramanujan Constant

Author

Eric W. Weisstein
January 17, 2005

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Constants/RamanujanConstant.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/RamanujanConstant.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Initialization

Value

ExactConstant["Ramanujan constant"]

N[Exp[π (Sqrt[163])],35]

RealDigits[Exp[π (Sqrt[163])],10,10]

Approximations

CorrectDigits[{Exp[π (Sqrt[163])],Root[#^3 - 6#^2 + 4# - 2 &, 1]^24 - 24}]

...bug...

CorrectDigits[N[{Exp[π (Sqrt[163])],Root[#^3 - 6#^2 + 4# - 2 &, 1]^24 - 24},1000],100]

RootReduce[Root[#^3 - 6#^2 + 4# - 2 &, 1]^24 - 24]

N[%65,35]