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A205728
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Number of odd, nonsquare semiprimes <= n^2.
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2
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0, 0, 0, 1, 2, 4, 5, 8, 11, 16, 19, 24, 28, 32, 41, 46, 50, 60, 66, 73, 81, 89, 100, 110, 118, 126, 140, 151, 163, 174, 187, 197, 210, 224, 239, 253, 269, 286, 298, 312, 326, 344, 363, 380, 399, 414, 435, 451, 468, 491, 513, 530, 546, 567, 591, 619, 643, 664
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OFFSET
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1,5
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COMMENTS
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Like A205727 (see comments thereto), this looks at odd semiprimes, but excludes squares. This then relates to the Goldbach conjecture 2j=p+q with the additional restriction that j, p, and q are not equal.
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LINKS
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Table of n, a(n) for n=1..58.
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MATHEMATICA
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SemiPrimeQ[n_Integer] := If[Abs[n] < 2, False, (2 == Plus @@ Transpose[FactorInteger[Abs[n]]][[2]])]; nn = 100; t = Select[Range[1, nn^2, 2], SemiPrimeQ[#] && ! IntegerQ[Sqrt[#]] &]; Table[Length[Select[t, # <= n^2 &]], {n, nn}] (* T. D. Noe, Jan 30 2012 *)
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CROSSREFS
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Cf. A205726, A205727.
Sequence in context: A222044 A175106 A216566 * A074824 A039867 A182564
Adjacent sequences: A205725 A205726 A205727 * A205729 A205730 A205731
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KEYWORD
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nonn
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AUTHOR
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Keith Backman, Jan 30 2012
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STATUS
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approved
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