A109723 Sum of the first 2n+1 primes.

2, 10, 28, 58, 100, 160, 238, 328, 440, 568, 712, 874, 1060, 1264, 1480, 1720, 1988, 2276, 2584, 2914, 3266, 3638, 4028, 4438, 4888, 5350, 5830, 6338, 6870, 7418, 7982, 8582, 9206, 9854, 10538, 11240, 11966, 12718, 13490, 14288, 15116, 15968, 16840

Offset: 0

Author

Giovanni Teofilatto, Aug 10 2005

Keywords

• easy
• nonn

Comments

Bisection of A007504.

Links

• Ray Chandler, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A007504, A109722, A109724, A109725, A109726.

Programs

Mathematica

f[n_] := Sum[Prime[k], {k, n}]; Table[f[2n + 1], {n, 0, 42}]
Take[Accumulate[Prime[Range[160]]], {1,160,2}] (* Harvey P. Dale, Jan 11 2011 *)

PARI

a(n) = sum(k=1, 2*n+1, prime(k)); \\ Michel Marcus, Jan 31 2019

Formula

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

Extensions

Edited and extended by Ray Chandler, Aug 11 2005