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\sum_{\stackrel{p_{n+1}-p_n>x^{1/2}}{x\le p_n\le 2x}}p_{n+1}-p_n\ll x^{2/3}.

difficulty advanced
 Apr 13, 2015
 #1
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I don't understand what is being asked but maybe someone else will.  :/

 Apr 14, 2015

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