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.
Publisher
Proceedings of the National Academy of Sciences
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