Mathematics of Computation

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7373170279850

Author(s): Jean-Marc Deshouillers; François Hennecart; Bernard Landreau; appendix by I. Gusti Putu Purnaba.
Journal: Math. Comp. 69 (2000), 421-439.
MSC (1991): Primary 11Y35; Secondary 11P05, 11K99
Posted: August 18, 1999
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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: 10.1090/S0025-5718-99-01116-3
PII: S 0025-5718(99)01116-3
Received by editor(s): January 20, 1998
Posted: 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 of article: Copyright 1999, American Mathematical Society


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