A109722 Sum of first 2n primes.

0, 5, 17, 41, 77, 129, 197, 281, 381, 501, 639, 791, 963, 1161, 1371, 1593, 1851, 2127, 2427, 2747, 3087, 3447, 3831, 4227, 4661, 5117, 5589, 6081, 6601, 7141, 7699, 8275, 8893, 9523, 10191, 10887, 11599, 12339, 13101, 13887, 14697, 15537, 16401, 17283

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
• Romeo Meštrović, Curious conjectures on the distribution of primes among the sums of the first 2n primes, arXiv:1804.04198 [math.NT], 2018.

Crossrefs

Cf. A007504, A109723, A109724, A109725, A109726.

Programs

Mathematica

f[n_] := Sum[Prime[k], {k, n}]; Table[f[2n], {n, 0, 43}]
Join[{0},With[{nn=100},Take[Accumulate[Prime[Range[nn]]],{2,nn,2}]]] (* Harvey P. Dale, Dec 20 2021 *)

Formula

a(n) = A007504(2n).

Extensions

Edited and extended by Ray Chandler, Aug 11 2005