Algebraic Numbers of Degree 3, 4, and 5: nth roots of
primesPROBLEM: Kuzmin's Theorem and Digits of Continued Fractions
DESCRIPTION: For almost all numbers in (0,1), the probability that the
nth digit in the
Continued Fraction expansion is k equals log_2 [1 +
1/k(k+2) ] as n tends to infinity.
The continued fraction of x is finite iff x is rational; it is periodic iff x
is a quadratic irrational.
Several different experiments were run to try and determine if special sets
were exceptions.
Algebraic Numbers of Degree 3, 4, and 5: nth roots of
primes