On a question of Mordell

Andrew R Booker*, Andrew Sutherland*

*Corresponding author for this work

Research output: Contribution to journalArticle (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 languageEnglish
Article numbere2022377118
Number of pages11
JournalProceedings of the National Academy of Sciences of the United States of America
Volume118
Issue number11
DOIs
Publication statusPublished - 16 Mar 2021

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