On a question of Mordell.
other · Level V
Where this comes from
- Record sourced from PubMed, PMID 33692126.
- Also identified by DOI 10.1073/pnas.2022377118 and PMC identifier 7980389.
- Licence recorded as CC BY-NC-ND.
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Abstract
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.