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Sum of first 2n primes.
6

%I #16 Sep 29 2023 14:24:48

%S 0,5,17,41,77,129,197,281,381,501,639,791,963,1161,1371,1593,1851,

%T 2127,2427,2747,3087,3447,3831,4227,4661,5117,5589,6081,6601,7141,

%U 7699,8275,8893,9523,10191,10887,11599,12339,13101,13887,14697,15537,16401,17283

%N Sum of first 2n primes.

%C Bisection of A007504.

%H Ray Chandler, <a href="/A109722/b109722.txt">Table of n, a(n) for n = 0..10000</a>

%H Romeo Meštrović, <a href="https://arxiv.org/abs/1804.04198">Curious conjectures on the distribution of primes among the sums of the first 2n primes</a>, arXiv:1804.04198 [math.NT], 2018.

%F a(n) = A007504(2n).

%t f[n_] := Sum[Prime[k], {k, n}]; Table[f[2n], {n, 0, 43}]

%t Join[{0},With[{nn=100},Take[Accumulate[Prime[Range[nn]]],{2,nn,2}]]] (* _Harvey P. Dale_, Dec 20 2021 *)

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

%K easy,nonn

%O 0,2

%A _Giovanni Teofilatto_, Aug 10 2005

%E Edited and extended by _Ray Chandler_, Aug 11 2005