>[!abstract] >In number theory, Khinchin's constant is a mathematical constant related to the simple continued fraction expansions of many real numbers. In particular Aleksandr Yakovlevich Khinchin proved that for almost all real numbers $x$, the coefficients ai of the continued fraction expansion of $x$ have a finite geometric mean that is independent of the value of $x$. It is known as Khinchin's constant and denoted by $K_0 = 2.68545200106530644530$ (sequence A002210 in the OEIS) (Wikipedia, 2025). >[!related] >- **North** (upstream): [[Continued fractions]] >- **West** (similar): [[Lévy's constant]] >- **East** (different): [[Rational numbers]] (finite continued fractions) >- **South** (downstream): —