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

1,1

Links

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

Formula

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

Example

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.

Mathematica

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

Prog

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

Crossrefs

Cf. A089581.

Sequence in context: A000611 A043069 A257602 * A371536 A291890 A217326

Adjacent sequences: A135229 A135230 A135231 * A135233 A135234 A135235

Keyword

nonn

Author

Cino Hilliard, Feb 14 2008

Status

approved