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

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

2010-01-19

arxiv.org/abs/1001.3316v2

Mathematics

Number Theory

Scientific paper

We extend the known tables of pseudosquares and pseudocubes, discuss the
implications of these new data on the conjectured distribution of pseudosquares
and 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 with
doubly-focused enumeration, run in parallel on a cluster supercomputer.

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