We make several improvements to methods for finding integer solutions to [Formula: see text] 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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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7980389 | PMC |
| http://dx.doi.org/10.1073/pnas.2022377118 | DOI Listing |
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