Compute Khinchin's constant - MATLAB Cody - MATLAB Central

Problem 46003. Compute Khinchin's constant

Difficulty:
(35)
Rate
Khinchin's constant K_0 = 2.684542001... (also written "Khintchine's constant") has the amazing property that it is the limiting value of the geometric mean of the partial quotients from a continued fraction expansion of almost all numbers. In other words, if a number x is expanded as
Continued fraction expansion of x
then as n approaches infinity
K_0 is the nth root of the product of a_1 through a_n
Compute Khinchin's constant. The test suite will check for a difference of 10^{-12}.
Solve

Solution Stats

32.73% Correct | 67.27% Incorrect
Last Solution submitted on Mar 19, 2025

Problem Comments

Solution Comments

Show comments
Who Deserves Your Praise? Discover the New Contribution Widget!
...
We are excited to announce another update to our Discussions area: the...

Problem Recent Solvers15

Suggested Problems

More from this Author292

Problem Tags

number theory numbers

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Go to top of page