

A161463


Sum of all primes from nth prime to (2*n1)th prime.


1



2, 8, 23, 48, 83, 132, 197, 270, 363, 468, 583, 714, 863, 1026, 1199, 1392, 1607, 1836, 2083, 2346, 2627, 2926, 3237, 3564, 3925, 4290, 4669, 5074, 5499, 5938, 6389, 6862, 7355, 7866, 8411, 8964, 9539, 10134, 10743, 11374, 12029, 12702, 13393, 14094
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OFFSET

1,1


COMMENTS

From Lekraj Beedassy, Apr 30 2010: (Start)
Sum of next n primes starting with the nth prime.
For sum of next n primes starting with the (T(n) + 1)th prime, or A000124(n)th prime = A078721(n), {T(n)=A000217(n)}, see A007468(n). (End)
74 of the first 1000 terms of this sequence are primes and each occurs at an odd index.  Harvey P. Dale, Jan 12 2014


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000


EXAMPLE

Sum of 3rd prime to 5th prime = 5+7+11, hence a(3) = 23; sum of 4th prime to 7th prime = 7+11+13+17, hence a(4) = 48.


MATHEMATICA

nn=100; With[{prs=Prime[Range[nn]]}, Table[Total[Take[prs, {n, 2n1}]], {n, Floor[(nn+1)/2]}]] (* Harvey P. Dale, Jan 12 2014 *)


PROG

(MAGMA) [ &+[ NthPrime(k): k in [n..2*n1] ]: n in [1..44] ]; // Klaus Brockhaus, Jun 12 2009


CROSSREFS

Cf. A000040 (primes), A007504 (sum of first n primes), A105720 (sum of nth and next n primes).
Sequence in context: A065694 A178129 A203298 * A190021 A014285 A331756
Adjacent sequences: A161460 A161461 A161462 * A161464 A161465 A161466


KEYWORD

nonn


AUTHOR

JuriStepan Gerasimov, Jun 10 2009


EXTENSIONS

Edited, corrected and extended by Klaus Brockhaus, Jun 12 2009


STATUS

approved



