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A205726 Number of semiprimes <= n^2. 4

%I #19 Aug 03 2014 14:01:38

%S 0,1,3,6,9,13,17,22,26,34,40,48,56,62,75,82,90,103,114,126,135,149,

%T 164,179,190,202,220,236,253,270,289,304,320,340,360,381,404,425,443,

%U 462,484,508,533,556,581,604,634,655,678,709,738,761,783,813,846,881

%N Number of semiprimes <= n^2.

%C See A205727 and A205728 for related sequences and relationship to Goldbach conjecture.

%H Harvey P. Dale, <a href="/A205726/b205726.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A072000(A000290(n)). - _Michel Marcus_, Sep 02 2013

%t SemiPrimeQ[n_Integer] := If[Abs[n] < 2, False, (2 == Plus @@ Transpose[FactorInteger[Abs[n]]][[2]])]; nn = 100; t = Select[Range[nn^2], SemiPrimeQ]; Table[Length[Select[t, # <= n^2 &]], {n, nn}] (* _T. D. Noe_, Jan 30 2012 *)

%t Module[{nn=60,sp},sp=Accumulate[Table[If[PrimeOmega[n]==2,1,0],{n,nn^2}]];Table[sp[[i^2]],{i,nn}]] (* _Harvey P. Dale_, May 29 2014 *)

%Y Cf. A001358, A038108, A205727, A205728.

%K nonn

%O 1,3

%A _Keith Backman_, Jan 30 2012

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Last modified April 24 06:39 EDT 2024. Contains 371920 sequences. (Running on oeis4.)