OFFSET
1,1
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
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, 2n-1}]], {n, Floor[(nn+1)/2]}]] (* Harvey P. Dale, Jan 12 2014 *)
PROG
(Magma) [ &+[ NthPrime(k): k in [n..2*n-1] ]: n in [1..44] ]; // Klaus Brockhaus, Jun 12 2009
CROSSREFS
KEYWORD
nonn
AUTHOR
Juri-Stepan Gerasimov, Jun 10 2009
EXTENSIONS
Edited, corrected and extended by Klaus Brockhaus, Jun 12 2009
STATUS
approved