olymmath

OBM 2010 Problem 2

    Seja P(x)P(x) um polinômio com coeficientes reais. Prove que existem inteiros positivos nn e kk tais que kk tem nn dígitos e mais de P(n)P(n) divisores positivos.

    Official text Brazilian Mathematical Olympiad 2010 official paper, page 1. Quoted with source.

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