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 A062047 Sum of odd numbers between consecutive primes. 1
 0, 0, 0, 9, 0, 15, 0, 21, 52, 0, 68, 39, 0, 45, 100, 112, 0, 128, 69, 0, 152, 81, 172, 279, 99, 0, 105, 0, 111, 720, 129, 268, 0, 576, 0, 308, 320, 165, 340, 352, 0, 744, 0, 195, 0, 1025, 1085, 225, 0, 231, 472, 0, 984, 508, 520, 532, 0, 548, 279, 0, 1152, 1800, 309, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Harry J. Smith, Table of n, a(n) for n=1,...,1000 FORMULA a(n) = {p(n+1) +p(n)}*{p(n+1) - p(n)-2}/4. EXAMPLE a(4) = 9 is the single odd number between 7 and 11. MATHEMATICA Plus@@Range[ #[[1]]+2, #[[2]]-2, 2]&/@Partition[Prime[Range[100]], 2, 1] [From Harvey P. Dale, Aug 13 2009] PROG (PARI) { for (n=1, 1000, q=prime(n + 1); p=prime(n); a=(q + p)*(q - p - 2)/4; if (n==1, a=0); write("b062047.txt", n, " ", a) ) } \\ Harry J. Smith, Jul 30 2009 CROSSREFS a(n)= ( p(n)+e(n) )*( e(n)-1 ), e(n) := A001223(n) / 2, for n > 1, cf. A062046. Sequence in context: A320379 A308102 A338016 * A117465 A136679 A299154 Adjacent sequences:  A062044 A062045 A062046 * A062048 A062049 A062050 KEYWORD nonn AUTHOR Amarnath Murthy, Jun 06 2001 EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org) and Jason Earls, Jun 07 2001 OFFSET changed from 0,4 to 1,4 by Harry J. Smith, Jul 30 2009 STATUS approved

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Last modified August 5 21:45 EDT 2021. Contains 346488 sequences. (Running on oeis4.)