A164653 a(1) = 1, for n>=2: a(n) = sum of two consecutive noncomposite numbers A008578.

1, 3, 5, 8, 12, 18, 24, 30, 36, 42, 52, 60, 68, 78, 84, 90, 100, 112, 120, 128, 138, 144, 152, 162, 172, 186, 198, 204, 210, 216, 222, 240, 258, 268, 276, 288, 300, 308, 320, 330, 340, 352, 360, 372, 384, 390, 396, 410, 434, 450, 456, 462, 472, 480, 492, 508

Offset: 1

Author

Jaroslav Krizek, Aug 19 2009

Keywords

• nonn

Comments

Basically these are the sums of two successive primes. - N. J. A. Sloane, Nov 16 2018

Essentially the same as A001043, A011974 and A069102.

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A001043, A008578, A011974, A069102, A076273, A158611.

Programs

Mathematica

ListConvolve[{1,1},Join[{0,1},Prime[Range[100]]]] (* Paolo Xausa, Nov 02 2023 *)

Formula

a(n) = A158611(n) + A158611(n+1).

a(n) = A008578(n-1) + A008578(n) for n >= 2.

a(n) = A076273(n-1) + 1 for n >= 2.

a(n) = A000040(n-1) + A008578(n-1) for n >= 2. - Jaroslav Krizek, Dec 13 2009

Extensions

Edited by R. J. Mathar, Aug 21 2009

Correction for change of offset in A158611 and A008578 in Aug 2009 by Jaroslav Krizek, Jan 27 2010

Formulas edited by Paolo Xausa, Nov 04 2023