A161463 Sum of all primes from n-th prime to (2*n-1)-th prime.

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

Offset: 1

Author

Juri-Stepan Gerasimov, Jun 10 2009

Keywords

• nonn

Comments

From Lekraj Beedassy, Apr 30 2010: (Start)

Sum of next n primes starting with the n-th 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

Examples

			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.
		

Links

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

Crossrefs

Cf. A000040 (primes), A007504 (sum of first n primes), A105720 (sum of n-th and next n primes).

Programs

Magma

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

Mathematica

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

Extensions

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