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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

$ 12,758$


Authors: Robert E. Dressler and Thomas Parker
Journal: Math. Comp. 28 (1974), 313-314
MSC: Primary 10A45; Secondary 10-04
Addendum: Math. Comp. 29 (1975), 675.
MathSciNet review: 0327652
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Abstract: It is known that 128 is the largest integer which is not expressible as a sum of distinct squares. Here, a computer is used to prove that 12,758 is the largest integer which is not expressible as a sum of distinct cubes.


References [Enhancements On Off] (What's this?)

  • [1] Hans-Egon Richert, Über Zerlegungen in paarweise verschiedene Zahlen, Norsk Mat. Tidsskr. 31 (1949), 120–122 (German). MR 0034807
  • [2] R. Sprague, Über Zerlegungen in ungleiche Quadratzahlen, Math. Z. 51 (1948), 289–290 (German). MR 0027285
  • [3] R. Sprague, Über Zerlegungen in 𝑛-te Potenzen mit lauter verschiedenen Grundzahlen, Math. Z. 51 (1948), 466–468 (German). MR 0028892

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1974-0327652-1
Article copyright: © Copyright 1974 American Mathematical Society