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[SPAM] [obm-l] Desigualdade envolvendo a sequencia dos primos



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Este problema foi apresentado hah cerca de 1 mes, mas ninguem apresentou a solucao. Alguem tem a prova?

Seja p_n, n =1,2,3..., a sequencia dos numeros primos.  Mostre que, para todo k > 1, a desigualdade, p_n < n^k ocorre para uma infinidade de índices n.
 
Obrigada


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