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

0,2

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.

Formula

a(n) = A007504(2n).

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 *)

Crossrefs

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

Sequence in context: A269728 A091864 A304079 * A097121 A007904 A139545

Adjacent sequences: A109719 A109720 A109721 * A109723 A109724 A109725

Keyword

easy,nonn

Author

Giovanni Teofilatto, Aug 10 2005

Extensions

Edited and extended by Ray Chandler, Aug 11 2005

Status

approved