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

Author

Jonathan Vos Post, Feb 20 2010

Keywords

• easy
• nonn

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.

Examples

			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.

Formula

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

Extensions

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