Two Arguments that the Nontrivial Zeros of the Riemann Zeta Function are Irrational

We have used the first 2600 nontrivial zeros l of the Riemann zeta function calculated with 1000 digits accuracy and developed them into the continued fractions. We calculated the geometrical means of the denominators of these continued fractions and for all cases we get values close to the Khinchin's constant, which suggests that l are irrational. Next we have calculated the n-th square roots of the denominators Qn of the convergents of the continued fractions obtaining values close to the Khinchin-Lvy constant, again supporting the common opinion that l are irrational.