On a question of Mordell

We make several improvements to methods for finding integer solutions to [Formula: see text] for small values of [Formula: see text]. We implemented these improvements on Charity Engine’s global compute grid of 500,000 volunteer PCs and found new representations for several values of [Formula: see t...

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Detalles Bibliográficos
Autores principales: Booker, Andrew R., Sutherland, Andrew V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2021
Materias:
Physical Sciences
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7980389/
https://www.ncbi.nlm.nih.gov/pubmed/33692126
http://dx.doi.org/10.1073/pnas.2022377118
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author Booker, Andrew R.
Sutherland, Andrew V.
author_facet Booker, Andrew R.
Sutherland, Andrew V.
author_sort Booker, Andrew R.
collection PubMed
description We make several improvements to methods for finding integer solutions to [Formula: see text] for small values of [Formula: see text]. We implemented these improvements on Charity Engine’s global compute grid of 500,000 volunteer PCs and found new representations for several values of [Formula: see text] , including 3 and 42. This completes the search begun by Miller and Woollett in 1954 and resolves a challenge posed by Mordell in 1953.
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spelling pubmed-79803892021-03-26 On a question of Mordell Booker, Andrew R. Sutherland, Andrew V. Proc Natl Acad Sci U S A Physical Sciences We make several improvements to methods for finding integer solutions to [Formula: see text] for small values of [Formula: see text]. We implemented these improvements on Charity Engine’s global compute grid of 500,000 volunteer PCs and found new representations for several values of [Formula: see text] , including 3 and 42. This completes the search begun by Miller and Woollett in 1954 and resolves a challenge posed by Mordell in 1953. National Academy of Sciences 2021-03-16 2021-03-10 /pmc/articles/PMC7980389/ /pubmed/33692126 http://dx.doi.org/10.1073/pnas.2022377118 Text en Copyright © 2021 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by-nc-nd/4.0/ https://creativecommons.org/licenses/by-nc-nd/4.0/This open access article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND) (https://creativecommons.org/licenses/by-nc-nd/4.0/) .
spellingShingle Physical Sciences
Booker, Andrew R.
Sutherland, Andrew V.
On a question of Mordell
title On a question of Mordell
title_full On a question of Mordell
title_fullStr On a question of Mordell
title_full_unstemmed On a question of Mordell
title_short On a question of Mordell
title_sort on a question of mordell
topic Physical Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7980389/
https://www.ncbi.nlm.nih.gov/pubmed/33692126
http://dx.doi.org/10.1073/pnas.2022377118
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