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A060303
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Number of primes below n^2 does not exceed n times the number of primes below n.
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0
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0, 0, 2, 2, 6, 7, 13, 14, 14, 15, 25, 26, 39, 40, 42, 42, 58, 60, 80, 82, 83, 84, 108, 111, 111, 112, 114, 115, 144, 146, 179, 180, 182, 183, 185, 186, 225, 228, 228, 229, 270, 272, 319, 321, 324, 325, 376, 378, 378, 383, 387, 387, 439, 443, 446, 451, 455, 454
(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]-PrimePi[n^2], {n, 1, 100}]
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EXAMPLE
| Pi(100)=25, 10*Pi(10)=40, a(10)=40-25=15
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CROSSREFS
| Cf. A060199, A060208, A000720.
Sequence in context: A177852 A079811 A097869 * A099577 A106168 A106166
Adjacent sequences: A060300 A060301 A060302 * A060304 A060305 A060306
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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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