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A135232 Sum of the products of the first n prime pairs. +0
2
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 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = sum(i=1..n) A089581(i). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 19 2008

EXAMPLE

The 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.

PROGRAM

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

CROSSREFS

Sequence in context: A096716 A000611 A043069 this_sequence A015551 A049685 A122371

Adjacent sequences: A135229 A135230 A135231 this_sequence A135233 A135234 A135235

KEYWORD

nonn

AUTHOR

Cino Hilliard (hillcino368(AT)hotmail.com), Feb 14 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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