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Quadrature n° 76 (2010) 30-38
Les nombres brésiliens
Bernard Schott
Les nombres brésiliens sont une curiosité qui amuse les amateurs d'Olympiades mathématiques. Cet article reprend la notion, décrit quelques propriétés élémentaires de ces nombres, puis explore les différents liens avec d'autres concepts arithmétiques. Au fil des paragraphes, il s'intéresse à la question de la primalité, au cas particulier des nombres repunits et développe même quelques arguments de théorie analytique des nombres.
© EDP Sciences, 2010
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