A323085 Semiprimes that are the sum of the first k terms of A092190 for some k.

4, 14, 8567, 16499, 151211, 344891, 418831, 585197, 1049882, 1186582, 1671029, 2503966, 2989387, 4802311, 8291795, 9769711, 11420129, 13279957, 13677063, 15356513, 16258813, 24318863, 26874293, 39317497, 42862751

Offset: 1

Author

Wilmer Emiro Castrillon Calderon, Jan 03 2019

Keywords

• nonn

Comments

If we call the semiprime numbers A001358 level 1, and A092190 level 2, then this sequence is level 3.

Examples

			a(2) = 14 = Sum_{i=1..2} A092190(i).
a(3) = 8567 = Sum_{i=1..13} A092190(i).
		

Links

• Wilmer Emiro Castrillon Calderon, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A001358, A092190.

Programs

Mathematica

f[w_] := Select[Most@ NestWhile[Append[#1, {#2, #2 + #1[[-1, -1]]}] & @@ {#, w[[Length@ # + 1]]} &, {{#, #}} &@ First[w], #[[-1, -1]] <= Max@ w &][[All, -1]], PrimeOmega@ # == 2 &]; Block[{s = Select[Range[10^6], PrimeOmega@ # == 2 &], t}, f@ f@ s] (* Michael De Vlieger, Jan 04 2019 *)