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 A002036 Compressed primes: a(n) is the nearest integer to prime(n)/log prime(n). (Formerly M2272 N0898) 3
 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)
 OFFSET 1,1 REFERENCES 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). LINKS 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. FORMULA a(n) = n - O(n/log n). - Charles R Greathouse IV, Nov 30 2022 MATHEMATICA Table[ Round[ Prime[n] / Log[ Prime[n]]], {n, 1, 75}] PROG (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 CROSSREFS Cf. A070944. Sequence in context: A240117 A333536 A069941 * A090903 A022878 A022877 Adjacent sequences: A002033 A002034 A002035 * A002037 A002038 A002039 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms from Robert G. Wilson v, May 15 2002 STATUS approved

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Last modified June 15 05:55 EDT 2024. Contains 373402 sequences. (Running on oeis4.)