login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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