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 A131740 a(n) = sum of n successive primes after the n-th prime. 2
 3, 12, 31, 60, 101, 156, 223, 304, 401, 510, 631, 766, 923, 1090, 1265, 1470, 1687, 1926, 2179, 2448, 2735, 3040, 3353, 3698, 4057, 4428, 4817, 5230, 5661, 6106, 6555, 7042, 7535, 8064, 8611, 9172, 9755, 10354, 10973, 11610, 12271, 12954, 13645 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The prime number theorem implies that, if q(n) = sum of first n primes, then a(n)/q(n) -> 3 as n -> oo. - N. J. A. Sloane, Oct 04 2007 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE a(4)=60 because 11, 13, 17 and 19 follow the 4th prime, 7, and 11 + 13 + 17 + 19 = 60. MAPLE a:=proc(n) options operator, arrow; add(ithprime(j), j=n+1..2*n) end proc: seq(a(n), n=1..45); # Emeric Deutsch, Oct 20 2007 MATHEMATICA Table[Sum[Prime[n + i], {i, 1, n}], {n, 1, 50}] (* Stefan Steinerberger, Oct 07 2007 *) Table[Total[Prime[Range[n+1, 2n]]], {n, 50}] (* Harvey P. Dale, Apr 13 2018 *) PROG (PARI) a(n)=my(t=0); for(i=1, n, t=t+prime(n+i)); t \\ Anders Hellström, Sep 16 2015 CROSSREFS Cf. A007504. Sequence in context: A293656 A131936 A009135 * A037237 A005718 A199231 Adjacent sequences:  A131737 A131738 A131739 * A131741 A131742 A131743 KEYWORD nonn AUTHOR G. L. Honaker, Jr., Oct 03 2007 EXTENSIONS More terms from Stefan Steinerberger, Oct 07 2007 More terms from Emeric Deutsch, Oct 20 2007 STATUS approved

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Last modified December 7 07:45 EST 2021. Contains 349571 sequences. (Running on oeis4.)