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[SPAM] [obm-l] Desigualdade envolvendo a sequencia dos primos
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- Subject: [SPAM] [obm-l] Desigualdade envolvendo a sequencia dos primos
- From: Ana Evans Merryl <ana_ev@xxxxxxxxx>
- Date: Mon, 5 May 2008 18:21:09 -0700 (PDT)
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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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