Open Problems
- Among the numbers whose geometric mean of the coefficients ai in the continued fraction expansion apparently (based on numerical evidence) tends to Khinchin's constant are π, the Euler–Mascheroni constant γ, and Khinchin's constant itself. However, none of these limits has been rigorously established, even though it is known that almost all real numbers have this property.
- It is not known if Khinchin's constant is a rational, algebraic irrational or transcendental number.
Read more about this topic: Khinchin's Constant
Famous quotes containing the words open and/or problems:
“... the door that nobody else will go in at, seems always to swing open widely for me.”
—Clara Barton (1821–1912)
“...I have wanted to believe people could make their dreams come true ... that problems could be solved. However, this is a national illness. As Americans, we believe all problems can be solved, that all questions have answers.”
—Kristin Hunter (b. 1931)