Problem 46003. Compute Khinchin's constant

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

35.09% Correct | 64.91% Incorrect
Last Solution submitted on Jan 20, 2026

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers17

Suggested Problems

More from this Author321

Problem Tags

number theory numbers

Community Treasure Hunt

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

Start Hunting!