On a question of Mordell

Andrew R Booker; Andrew Sutherland

doi:10.1073/pnas.2022377118

On a question of Mordell

Andrew R Booker^*, Andrew Sutherland^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We make several improvements to methods for finding integer solutions to x3+y3+z3=k for small values of k. We implemented these improvements on Charity Engine’s global compute grid of 500,000 volunteer PCs and found new representations for several values of k, including 3 and 42. This completes the search begun by Miller and Woollett in 1954 and resolves a challenge posed by Mordell in 1953.

Original language	English
Article number	e2022377118
Number of pages	11
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	118
Issue number	11
DOIs	https://doi.org/10.1073/pnas.2022377118
Publication status	Published - 16 Mar 2021

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AB - We make several improvements to methods for finding integer solutions to x3+y3+z3=k for small values of k. We implemented these improvements on Charity Engine’s global compute grid of 500,000 volunteer PCs and found new representations for several values of k, 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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DO - 10.1073/pnas.2022377118

M3 - Article (Academic Journal)

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On a question of Mordell

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