Khinchin's Constant

KHINCHIN

For almost every real x, the geometric mean of its continued-fraction coefficients converges to K₀ ≈ 2.6854520010.
Same constant, regardless of x. (Proofs that any specific famous number satisfies this — open.)

Length

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Random reals (GK) ▼

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Stats

K₀ (target)2.685452

focused—

geom mean—

Δ from K₀—

last a(n)—

max a(n)—

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Right-click any number row to view its continued fraction.

RUNNING GEOMETRIC MEAN of CF coefficients · Khinchin's K₀

n = 0 / 80

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Speed 40ms

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0 / 80

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