  We report new Gaussian boson sampling experiments with
pseudo-photon-number-resolving detection, which register up to 255 photon-click
events. We consider partial photon distinguishability and develop a more
complete model for the characterization of the noisy Gaussian boson sampling.
In the quantum computational advantage regime, we use Bayesian tests and
correlation function analysis to validate the samples against all current
classical mockups. Estimating with the best classical algorithms to date,
generating a single ideal sample from the same distribution on the
supercomputer Frontier would take ~ 600 years using exact methods, whereas our
quantum computer, Jiuzhang 3.0, takes only 1.27 us to produce a sample.
Generating the hardest sample from the experiment using an exact algorithm
would take Frontier ~ 3.1*10^10 years.
