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

6, 41, 184, 507, 1174, 2321, 4084, 6575, 10174, 14931, 20698, 28085, 37882, 48903, 61220, 77857, 96900, 119399, 144990, 173881, 206280, 243143, 282346, 329399, 381382, 437069, 497560, 565151, 638050, 715887, 798806, 894283, 993504, 1105051

Offset: 1

Author

Cino Hilliard, Feb 14 2008

Keywords

• nonn

Examples

			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.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A089581.

Programs

Mathematica

Table[Sum[Prime[2*k - 1]*Prime[2*k], {k, 1, n}], {n, 1, 50}] (* G. C. Greubel, Oct 04 2016 *)

PARI

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

Formula

a(n) = Sum_{i=1..n} A089581(i). - R. J. Mathar, Feb 19 2008