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A117495 Product of a prime number p and the number of primes smaller than p. 1
0, 3, 10, 21, 44, 65, 102, 133, 184, 261, 310, 407, 492, 559, 658, 795, 944, 1037, 1206, 1349, 1460, 1659, 1826, 2047, 2328, 2525, 2678, 2889, 3052, 3277, 3710, 4061, 4384, 4587, 5066, 5285, 5652, 6031, 6346, 6747, 7160, 7421, 8022, 8299, 8668, 8955, 9706 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..47.

FORMULA

a(n) = (n-1)*prime(n). [From Zak Seidov, Aug 15 2010]

EXAMPLE

a(9)=184 because (1) the 9th prime number is 23, (2)there are 8 primes smaller than 23 and (3)23*8=184

MAPLE

with (numtheory):a:=n->sum(ithprime(n), j=2..n):seq(a(n), n=1..47); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 24 2008]

MATHEMATICA

Table[(n - 1)Prime[n], {n, 60}] [From Zak Seidov, Aug 15 2010]

CROSSREFS

Cf. A000720, A036689.

Sequence in context: A038347 A210980 A207380 * A007687 A192033 A006308

Adjacent sequences:  A117492 A117493 A117494 * A117496 A117497 A117498

KEYWORD

nonn

AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 25 2006

STATUS

approved

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Last modified May 23 12:13 EDT 2013. Contains 225587 sequences.