Approximations to Khinchin's constant include
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(1)
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(2)
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(3)
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(4)
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which are correct to 9, 7, 6, and 5 digits, respectively (M. Hudson, pers. comm., Nov. 20, 2004).
Khinchin's Constant Approximations
See also
Almost Integer, Khinchin's ConstantExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Khinchin's Constant Approximations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KhinchinsConstantApproximations.html