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Sur la structure de la suite des diviseurs d'un entier

Sur la structure de la suite des diviseurs d'un entier

Let 1=d 1 <d 2 <⋯<d r =n be the increasing sequence of the divisors of an integer n. We study here some properties of the set of pairs (d i ,d i+1 ), 1<1≤r-1, which are related to Erdös' conjecture stating that the inequality min i=1 r-1 d i+1 …