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A002036
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Compressed primes: a(n) is the nearest integer to prime(n)/log prime(n).
(Formerly M2272 N0898)
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3
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3, 3, 3, 4, 5, 5, 6, 6, 7, 9, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 26, 27, 28, 28, 30, 30, 31, 32, 33, 34, 35, 35, 36, 37, 37, 38, 39, 41, 42, 42, 43, 44, 44, 45, 46, 47, 48, 48, 49, 50, 50, 52, 54, 54, 54, 55, 57, 58, 59, 60, 60, 61, 62
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Harry J. Smith, Table of n, a(n) for n = 1..1000
M. Stein and S. M. Ulam, An Observation on the Distribution of Primes, Amer. Math. Monthly 74, 43-44, 1967.
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MATHEMATICA
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Table[ Round[ Prime[n] / Log[ Prime[n]]], {n, 1, 75}]
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PROG
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(PARI) n=0; forprime (p=1, 9999, a=round(p/log(p)); write("b002036.txt", n++, " ", a); if (n>=1000, break)) \\ Harry J. Smith, Jun 16 2009
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CROSSREFS
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Cf. A070944.
Sequence in context: A240117 A333536 A069941 * A090903 A022878 A022877
Adjacent sequences: A002033 A002034 A002035 * A002037 A002038 A002039
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Robert G. Wilson v, May 15 2002
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STATUS
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approved
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