ZetaGrid

{{Short description|Explored roots of the Riemann zeta function}}

ZetaGrid was at one time the largest distributed computing project, designed to explore the non-trivial roots of the Riemann zeta function, checking over one billion roots a day.

Roots of the zeta function are of particular interest in mathematics; a single root out of alignment would disprove the Riemann hypothesis, with far-reaching consequences for all of mathematics.

The project ended in November 2005 due to instability of the hosting provider.[https://www.free-dc.org/showthread.php?10430 Zeta Finished – Free-DC Forum] The first more than 10¹³ zeroes were checked.Ed Pegg Jr. [http://www.mathpuzzle.com/MAA/28-Ten%20Trillion%20Zeta%20Zeroes/mathgames_10_18_04.html «Ten Trillion Zeta Zeros»] The project administrator stated that after the results were analyzed, they would be posted on the American Mathematical Society website.{{Cite web |date=2010-11-18 |title=ZetaGrid - News |url=http://www.zetagrid.net/zeta/news.html |access-date=2023-06-04 |archive-url=https://web.archive.org/web/20101118054543/http://www.zetagrid.net/zeta/news.html |archive-date=2010-11-18 }} The official status remains unclear, however, as it was never published nor independently verified. This is likely because there was no evidence that each zero was actually computed, as there was no process implemented to check each one as it was calculated.Yannick Saouter, Xavier Gourdon and Patrick Demichel. An improved lower bound for the de Bruijn-Newman constant. Math. Comp. 80 (2011) 2283. MR 2813360.Yannick Saouter and Patrick Demichel. A sharp region where π(x)−li(x) is positive. Math. Comp. 79 (2010) 2398. MR 2684372.