# On Sums of Seven Cubes

1 POLKA - Polynomials, Combinatorics, Arithmetic
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We show that every integer between 1290741 and $3.375\,10^{12}$ is a sum of 5 non negative cubes from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 non negative cubes.
Keywords :
Document type :
Journal articles
Domain :

https://hal.inria.fr/inria-00108056
Contributor : Publications Loria <>
Submitted on : Thursday, October 19, 2006 - 3:40:31 PM
Last modification on : Friday, October 16, 2020 - 4:02:02 PM

### Identifiers

• HAL Id : inria-00108056, version 1

### Citation

François Bertault, Olivier Ramaré, Paul Zimmermann. On Sums of Seven Cubes. Mathematics of Computation, American Mathematical Society, 1999, 68 (227), pp.1303-1310. ⟨inria-00108056⟩

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