On a question of Mordell

Andrew R Booker*, Andrew Sutherland*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)
117 Downloads (Pure)


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
Issue number11
Publication statusPublished - 16 Mar 2021


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