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A182095
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Number of composite numbers between 2^n and 2^(n+1).
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1
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0, 0, 1, 5, 10, 24, 50, 104, 212, 436, 886, 1792, 3631, 7319, 14771, 29737, 59826, 120322, 241753, 485652, 974989, 1956815, 3926087, 7874899, 15791397, 31660311, 63463119, 127190437, 254873548, 510663633, 1023044286, 2049300991, 4104631710, 8220611286
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OFFSET
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0,4
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COMMENTS
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Note that here, the endpoints of the interval are not counted. - Michel Marcus, Sep 05 2013
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LINKS
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FORMULA
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EXAMPLE
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Between 2^3 and 2^4 there are 5 composite integers: 9, 10, 12, 14, and 15.
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MATHEMATICA
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Join[{0}, Table[2^n - (PrimePi[2^(n + 1)] - PrimePi[2^n]) - 1, {n, 33}]] (* T. D. Noe, Apr 11 2012 *)
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PROG
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(Magma) [0] cat [2^n-(#PrimesUpTo(2^(n+1))-#PrimesUpTo(2^n))-1: n in [1..28]]; // Vincenzo Librandi, Aug 21 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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