  In this paper we are going to describe the results of the computer
experiment, which in principle can rule out the Riemann Hypothesis. We use the
sequence $c_k$ appearing in the \BD criterion for the RH. Namely we calculate
$c_{100000}$ with thousand digits of accuracy using two different formulas for
$c_k$ with the aim to disproof the Riemann Hypothesis in the case these two
numbers will differ. We found the discrepancy only on the 996 decimal place
(accuracy of $10^{-996}$). The reported here experiment can be of interest for
developers of Mathematica and PARI/GP.
