|
%I #15 Apr 10 2018 08:23:52
%S 0,1,2,3,5,6,8,10,12,14,17,20,23,25,28,30,34,38,40,43,47,50,54,59,63,
%T 66,71,74,78,84,87,92,98,100,105,111,116,121,128,132,137,145,150,154,
%U 163,167,172
%N Partial sum of Goldbach numbers A045917.
%C If the Goldbach conjecture is false then a(n)=a(n+1) for some n.
%D C. Clawson, Mathematical mysteries, Plenum Press 1996, p. 241.
%H Vincenzo Librandi, <a href="/A045919/b045919.txt">Table of n, a(n) for n = 1..300</a>
%H <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>
%F a(n) = Sum_{k=1..n} Sum_{i=1..k} A010051(i) * A010051(2k-i). - _Wesley Ivan Hurt_, Apr 07 2018
%t Table[Sum[Sum[(PrimePi[2 k - i] - PrimePi[2 k - i - 1]) (PrimePi[i] - PrimePi[i - 1]), {i, k}], {k, n}], {n, 100}] (* _Wesley Ivan Hurt_, Apr 07 2018 *)
%Y Cf. A002375, A045917, A045922.
%K easy,nonn
%O 1,3
%A _Felice Russo_
|
