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A074745 Sum of products of pairs of successive primes. +0
1
6, 21, 56, 133, 276, 497, 820, 1257, 1924, 2823, 3970, 5487, 7250, 9271, 11762, 14889, 18488, 22575, 27332, 32515, 38282, 44839, 52226, 60859, 70656, 81059, 92080, 103743, 116060, 130411, 147048, 164995, 184038, 204749, 227248, 250955 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = Sum_{k=1..n} ithprime(k)*ithprime(k+1) = Sum_{k=1..n} A006094(k).

MAPLE

with(numtheory): a := proc(n) local k: RETURN(add(ithprime(k)*ithprime(k+1), k=1..n)):end;

CROSSREFS

Sequence in context: A100356 A137361 A058484 this_sequence A056414 A056341 A053809

Adjacent sequences: A074742 A074743 A074744 this_sequence A074746 A074747 A074748

KEYWORD

nonn

AUTHOR

Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Sep 06 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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