A011974 - OEIS

%I #22 Jun 25 2022 12:53:39

%S 2,5,8,12,18,24,30,36,42,52,60,68,78,84,90,100,112,120,128,138,144,

%T 152,162,172,186,198,204,210,216,222,240,258,268,276,288,300,308,320,

%U 330,340,352,360,372,384,390,396,410,434,450,456,462,472,480,492,508,520

%N 2 followed by the numbers that are the sum of 2 successive primes.

%C All the terms in the sequence, except for a(2), are even. - _K. D. Bajpai_, Aug 26 2014

%D Archimedeans Problems Drive, Eureka, 26 (1963), 12.

%H K. D. Bajpai, <a href="/A011974/b011974.txt">Table of n, a(n) for n = 1..10000</a>

%F Essentially same as A001043.

%e From _K. D. Bajpai_, Aug 26 2014: (Start)

%e a(6) = 24 is in the sequence because prime(5) + prime(6) = 11 + 13 = 24.

%e a(8) = 36 is in the sequence because prime(7) + prime(8) = 17 + 19 = 36.

%e (End)

%t Join[{2},Total/@Partition[Prime[Range[40]],2,1]] (* _Harvey P. Dale_, May 04 2013 *)

%Y Cf. A000040.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

%E The terms a(40) to a(56) from  _K. D. Bajpai_, Aug 26 2014