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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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7373170279850
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by Jean-Marc Deshouillers, François Hennecart, Bernard Landreau and appendix by I. Gusti Putu Purnaba PDF
Math. Comp. 69 (2000), 421-439 Request permission

Abstract:

We conjecture that 7,373,170,279,850 is the largest integer which cannot be expressed as the sum of four nonnegative integral cubes.
References
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Additional Information
  • Jean-Marc Deshouillers
  • Affiliation: Mathématiques Stochastiques, Université Victor Segalen Bordeaux 2, F-33076 Bordeaux Cedex, France
  • Email: J-M.Deshouillers@u-bordeaux2.fr
  • François Hennecart
  • Affiliation: A2X, Université Bordeaux 1, F-33405 Talence Cedex, France
  • Email: hennec@math.u-bordeaux.fr
  • Bernard Landreau
  • Affiliation: A2X, Université Bordeaux 1, F-33405 Talence Cedex, France
  • Email: landreau@math.u-bordeaux.fr
  • appendix by I. Gusti Putu Purnaba
  • Affiliation: Mathématiques Stochastiques, Université Victor Segalen Bordeaux 2, F-33076 Bordeaux Cedex, France
  • Email: landreau@math.u-bordeaux.fr
  • Received by editor(s): January 20, 1998
  • Published electronically: August 18, 1999
  • Additional Notes: Ce travail a été réalisé au sein du laboratoire A2X, UMR CNRS-Bordeaux 1 n$^\circ$ 9936, avec le soutien de l’Université Victor Segalen Bordeaux 2
    The work in the Appendix was supported by universities Bordeaux 1 and 2, CNRS (UMR 9936) and a scholarship from the French Government
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 69 (2000), 421-439
  • MSC (1991): Primary 11Y35; Secondary 11P05, 11K99
  • DOI: https://doi.org/10.1090/S0025-5718-99-01116-3
  • MathSciNet review: 1651751