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CIIM 2022 Problem 6

  • Day 2

Dado un entero positivo mm, sea d(m)d(m) la cantidad de divisores positivos de mm. Demostrar que para todo entero positivo nn se cumple que

d((n+1)!)≤2d(n!).d((n + 1)!) \leq 2d(n!).

Official text Iberoamerican Interuniversity Mathematics Competition 2022 official paper, page 1. Quoted with source.

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