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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

7373170279850


Authors: Jean-Marc Deshouillers, François Hennecart, Bernard Landreau and appendix by I. Gusti Putu Purnaba
Journal: Math. Comp. 69 (2000), 421-439
MSC (1991): Primary 11Y35; Secondary 11P05, 11K99
Published electronically: August 18, 1999
MathSciNet review: 1651751
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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.


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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

DOI: http://dx.doi.org/10.1090/S0025-5718-99-01116-3
PII: S 0025-5718(99)01116-3
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$^{∘}$ 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
Article copyright: © Copyright 1999 American Mathematical Society