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We extend the known tables of pseudosquares and pseudocubes, discuss theimplications of these new data on the conjectured distribution of pseudosquaresand pseudocubes, and present the details of the algorithm used to do this work.Our algorithm is based on the space-saving wheel data structure combined withdoubly-focused enumeration, run in parallel on a cluster supercomputer.

Sieving for pseudosquares and pseudocubes in parallel using doubly-focused enumeration and wheel datastructures