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A091852 Numerator of Sum_{i=1..n} prime(i)/prime(i+1). 2

%I

%S 2,19,208,3023,52004,1079263,24845332,663589691,21809669044,

%T 769910292199,31595368408378,1432693760237483,67842962092519574,

%U 3469898586979325623,198354535000733806154,12566530264688830748431

%N Numerator of Sum_{i=1..n} prime(i)/prime(i+1).

%C Proposed by Mohammed BOUAYOUN, Feb 16 2004; computed by _R. K. Guy_, Feb 17 2004

%e The sums are f(1)=2/3, f(2)=2/3 + 3/5, f(3)=2/3+3/5+5/7, f(4)=2/3+3/5+5/7+7/11, ...

%t A091852[n_] := Numerator[ Sum[ Prime[i] / Prime[i + 1], {i, n}]]; Table[ A091852[n], {n, 16}] (* _Robert G. Wilson v_, Mar 16 2004 *)

%Y Denominators are in A070826.

%K nonn,frac

%O 1,1

%A _N. J. A. Sloane_, Mar 13 2004

%E More terms from _Robert G. Wilson v_, Mar 16 2004

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Last modified January 22 16:37 EST 2020. Contains 331152 sequences. (Running on oeis4.)