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A060304
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Number of primes below n^3 does not exceed n times the number of primes below n^2.
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0
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0, 0, 3, 6, 15, 19, 37, 47, 69, 82, 113, 139, 180, 216, 244, 300, 381, 423, 486, 553, 638, 726, 820, 887, 1029, 1152, 1256, 1376, 1527, 1659, 1794, 1992, 2156, 2357, 2517, 2739, 2909, 3085, 3365, 3627, 3933, 4200, 4380, 4687, 4960, 5313, 5547, 5917, 6395
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| S. Segal, On Pi(x+1)<=Pi(x)+Pi(y). Transactions American Mathematical Society, 104 (1962), 523-527.
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FORMULA
| Table[n*PrimePi[n^2]-PrimePi[n^3], {n, 1, 100}]
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EXAMPLE
| n=10,10*Pi(100)=250,Pi(1000)=168,a(10)=250-168=82
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CROSSREFS
| A060199, A060208, A000720.
Sequence in context: A124518 A160724 A174279 * A075868 A162335 A095869
Adjacent sequences: A060301 A060302 A060303 * A060305 A060306 A060307
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Mar 26 2001
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