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A112997 Sum of first n primes minus sum of their indices. 2
1, 2, 4, 7, 13, 20, 30, 41, 55, 74, 94, 119, 147, 176, 208, 245, 287, 330, 378, 429, 481, 538, 598, 663, 735, 810, 886, 965, 1045, 1128, 1224, 1323, 1427, 1532, 1646, 1761, 1881, 2006, 2134, 2267, 2405, 2544, 2692, 2841, 2993, 3146, 3310, 3485, 3663, 3842 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Michel Marcus, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = A007504(n) - n(n+1)/2.

a(n) = Sum_{k=1..n} A014689(n) = partial sums of A014689. - Philippe Lallouet (philip.lallouet(AT)orange.fr), Aug 27 2008

MATHEMATICA

Table[Total[Take[Table[Prime[n]-n, {n, 1, 20}], i]], {i, 20}]

PROG

(PARI) a(n) = sum(i=1, n, prime(i)-i); \\ Michel Marcus, Oct 09 2013

CROSSREFS

Cf. A007504 (Sum of first n primes).

Sequence in context: A164901 A262744 A347703 * A037032 A165753 A347779

Adjacent sequences:  A112994 A112995 A112996 * A112998 A112999 A113000

KEYWORD

nonn

AUTHOR

Zak Seidov, Jan 03 2006

EXTENSIONS

More terms from Michel Marcus, Oct 09 2013

STATUS

approved

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Last modified November 27 12:51 EST 2021. Contains 349394 sequences. (Running on oeis4.)