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Re: Gaps between primes
Posted:
Oct 17, 2013 10:00 AM


El miércoles, 16 de octubre de 2013 11:01:48 UTC4:30, Ludovicus escribió: > Have someone demonstrated that gap p(n+1)  p(n) < sqr[p(n)] for p(n) >113 ? > > If not, I will show proximately, that theorem. > > Ludovicus
Dear friends. I beg your pardon. I commited a serious error. I was manipulating Dusart inequalities: x /(log(x)  1) < Pi(x) ; X > 5392 and Pi(x) < x / (log(x)  1.1) ; x > 60435 Then, by an algebraic error I arrived at that false conclusion. If the difference of those inequalities could be < sqr(p(n)) then the Riemman Hypothesis would follow. The proposition is true only for p(n) < 5 x 10^6



