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 A046933 Number of composites between successive primes. 37
 0, 1, 1, 3, 1, 3, 1, 3, 5, 1, 5, 3, 1, 3, 5, 5, 1, 5, 3, 1, 5, 3, 5, 7, 3, 1, 3, 1, 3, 13, 3, 5, 1, 9, 1, 5, 5, 3, 5, 5, 1, 9, 1, 3, 1, 11, 11, 3, 1, 3, 5, 1, 9, 5, 5, 5, 1, 5, 3, 1, 9, 13, 3, 1, 3, 13, 5, 9, 1, 3, 5, 7, 5, 5, 3, 5, 7, 3, 7, 9, 1, 9, 1, 5, 3, 5, 7, 3, 1, 3, 11, 7, 3, 7, 3, 5, 11, 1, 17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS n-th odd number of A028334(k). - Giovanni Teofilatto, Apr 19 2010 LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 FORMULA a(n) = prime(n+1) - prime(n) - 1 = A000040(n+1) - A000040(n) - 1, n >= 1. a(n) = A001223(n) - 1, n >= 1. a(n) = sum(i=1..n-1, A036263(i)), n >= 1. - Daniel Forgues, Apr 07 2014 EXAMPLE a(1) = 0 since 2 is adjacent to 3; a(2) = 1 since 4 is between 3 and 5; a(4) = 3 = 11 - 7 - 1, etc MAPLE A046933:=n->ithprime(n+1)-ithprime(n)-1; seq(A046933(n), n=1..100); # Wesley Ivan Hurt, Apr 15 2014 MATHEMATICA Differences[Prime[Range[100]]] - 1 (* Arkadiusz Wesolowski, Nov 18 2011 *) Table[Prime[n + 1] - Prime[n] - 1, {n, 100}] (* Wesley Ivan Hurt, Apr 15 2014 *) PROG (PARI) a(n)=prime(n+1)-prime(n)-1 \\ Charles R Greathouse IV, Nov 20 2012 (Haskell) a046933 n = a046933_list !! (n-1) a046933_list = map (subtract 1) a001223_list -- Reinhard Zumkeller, Dec 12 2012 CROSSREFS Cf. A028334. Cf. A008996 (record values > 0). Sequence in context: A333752 A066839 A176246 * A185091 A332031 A023511 Adjacent sequences:  A046930 A046931 A046932 * A046934 A046935 A046936 KEYWORD easy,nonn,nice AUTHOR Marc LeBrun, Dec 11 1999 STATUS approved

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Last modified May 26 22:58 EDT 2020. Contains 334634 sequences. (Running on oeis4.)