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Pour une telle hypersurface, on d\\'emontre d'une part que son groupe de Griffiths des cycles de codimension 3 est trivial et d'autre part que l'application d'Abel-Jacobi induit un isomorphisme entre son groupe de Chow des cycles de codimension 3 alg\\'ebriquement equivalents \\`a z\\'ero et sa jacobienne interm\\'ediaire.\n  ----------\n  We study 2-cycles of a smooth cubic hypersurface of dimension 5. 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