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 A135232 Sum of the products of the first n prime pairs. 1

%I #12 Oct 05 2016 04:28:41

%S 6,41,184,507,1174,2321,4084,6575,10174,14931,20698,28085,37882,48903,

%T 61220,77857,96900,119399,144990,173881,206280,243143,282346,329399,

%U 381382,437069,497560,565151,638050,715887,798806,894283,993504,1105051

%N Sum of the products of the first n prime pairs.

%H G. C. Greubel, <a href="/A135232/b135232.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = Sum_{i=1..n} A089581(i). - _R. J. Mathar_, Feb 19 2008

%e The sum of the products of the first 3 prime pairs is 2*3+5*7+11*13 = 184, the 3rd entry in the sequence.

%t Table[Sum[Prime[2*k - 1]*Prime[2*k], {k, 1, n}], {n, 1, 50}] (* _G. C. Greubel_, Oct 04 2016 *)

%o (PARI) g(n)=s=0;forstep(x=1,n*2,2,s+=prime(x)*prime(x+1);print1(s,","))

%Y Cf. A089581.

%K nonn

%O 1,1

%A _Cino Hilliard_, Feb 14 2008

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Last modified August 14 19:51 EDT 2024. Contains 375167 sequences. (Running on oeis4.)