ZetaGrid
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ZetaGrid was at one time the largest distributed computing project designed to explore zeroes of the Riemann ζ-function, checking over one billion zeros a day.
Zeroes of the zeta function are of particular interest in mathematics, since the presence of even a single one that is out of line with the rest would instantly disprove the Riemann hypothesis, with far-reaching consequences for all of mathematics. So far, every single one of them has failed to provide a counterexample to the Riemann hypothesis.
As of November 2005, the project has ended. [1] After the results have been analyzed, the project administrator has stated that they will be posted on the American Mathematical Society website.