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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A090973 a(n) = ceiling(prime(n)/n). 3 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 (list; graph; refs; listen; history; text; internal format) OFFSET 1,1 COMMENTS For n > 1, a(n) = A038605(n)+1. - David Wasserman, Feb 23 2006 a(A038606(n)) = n+1. - Reinhard Zumkeller, Aug 16 2009 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 EXAMPLE a(12) = 4 as pi(48) = 15 > 12 > pi(36) = 11. MATHEMATICA Table[Ceiling[Prime[n]/n], {n, 1, 120}] (* G. C. Greubel, Feb 02 2019 *) PROG (PARI) vector(120, n, ceil(prime(n)/n)) \\ G. C. Greubel, Feb 02 2019 (Magma) [Ceiling(NthPrime(n)/n)): n in [1..120]]; // G. C. Greubel, Feb 02 2019 (Sage) [ceil(nth_prime(n)/n) for n in (1..120)] # G. C. Greubel, Feb 02 2019 CROSSREFS Cf. A038605, A038606. Cf. A068901. - Reinhard Zumkeller, Aug 16 2009 Sequence in context: A156685 A124230 A330780 * A076634 A083277 A274011 Adjacent sequences: A090970 A090971 A090972 * A090974 A090975 A090976 KEYWORD nonn AUTHOR Amarnath Murthy, Jan 04 2004 EXTENSIONS More terms from David Wasserman, Feb 23 2006 STATUS approved

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Last modified August 19 05:14 EDT 2024. Contains 375284 sequences. (Running on oeis4.)