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A173520 Partial sums of A118371. 0
2, 5, 10, 17, 30, 49, 72, 103, 140, 183, 230, 283, 344, 423, 506, 607, 714, 823, 936, 1067, 1206, 1363, 1530, 1729, 1940, 2191, 2460, 2741, 3024, 3317, 3624, 3937, 4274, 4657, 5058, 5479, 5910, 6349, 6798, 7255, 7746, 8255, 8776, 9299, 9868, 10469 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Partial sums of fastest growing sequence of primes satisfying Goldbach's conjecture. The subsequence of primes in this partial sum begins: 2, 5, 17, 103, 283, 607, 823, 2741, 4657, 5479, 13177, 16369. The subsequence of primes in this partial sum which are also in the underlying sequence begins: 2, 5, 283, 5479.

LINKS

Table of n, a(n) for n=1..46.

FORMULA

a(n) = SUM[i=1..n] A118371(i).

EXAMPLE

a(56) = 2 + 3 + 5 + 7 + 13 + 19 + 23 + 31 + 37 + 43 + 47 + 53 + 61 + 79 + 83 + 101 + 107 + 109 + 113 + 131 + 139 + 157 + 167 + 199 + 211 + 251 + 269 + 281 + 283 + 293 + 307 + 313 + 337 + 383 + 401 + 421 + 431 + 439 + 449 + 457 + 491 + 509 + 521 + 523 + 569 + 601 + 643 + 673 + 691 + 701 + 769 + 773 + 811 + 839 + 863 + 881.

CROSSREFS

Cf. A118371.

Sequence in context: A109472 A172167 A173060 * A146268 A038358 A107482

Adjacent sequences:  A173517 A173518 A173519 * A173521 A173522 A173523

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Feb 20 2010

EXTENSIONS

One of the 3937 replaced by 3624 - R. J. Mathar, Mar 07 2010

STATUS

approved

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Last modified February 19 03:37 EST 2018. Contains 299330 sequences. (Running on oeis4.)