  Preliminary numerical results of calculating the 5-loop QED contributions to
the electron (and muon) anomalous magnetic moment are presented. The results
include the total contribution of the 5-loop Feynman diagrams without lepton
loops and the contributions of nine gauge-invariant classes that form that set.
A discrepancy with known results is revealed. The contributions of the
gauge-invariant classes are presented for the first time. The method of the
computation is briefly described (with the corresponding references). The
calculation is based on the following elements:
  1) a subtraction procedure for removing infrared (IR) and ultraviolet (UV)
divergences point by point in Feynman parametric representation before
integration;
  2) a nonadaptive Monte Carlo integration method that is founded on
probability density functions (PDF) that are constructed for each Feynman
diagram individually using its combinatorial structure;
  3) a GPU-based numerical integration with the help of the supercomputer
"Govorun" (JINR, Dubna, Russia).
