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Khinchin's Constant Approximations

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Approximations to Khinchin's constant include

K=-(ln85181832)/(tan8)
(1)
=1/(29)sqrt(6065)
(2)
=6-sqrt(ln59055)
(3)
=18^(27/79),
(4)

which are correct to 9, 7, 6, and 5 digits, respectively (M. Hudson, pers. comm., Nov. 20, 2004).

See also

Almost Integer, Khinchin's Constant

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Cite this as:

Weisstein, Eric W. "Khinchin's Constant Approximations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KhinchinsConstantApproximations.html

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