A173520 Partial sums of A118371.

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

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 * A360749 A146268 A038358

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