A123376 Sum of the first s(n) primes, where s(n) is the sum of the first p(n) primes, where p(n) is the n-th prime. Note that s(n) is A022094.

28, 129, 1371, 7141, 68341, 163541, 624211, 1086557, 2756043, 8546951, 11791577, 28122767, 46308119, 58262037, 88870153, 158512433, 263952799, 308206649, 480993245, 635060975, 724715753, 1053143991, 1331063769, 1845563079, 2750645663, 3325653577, 3650662901, 4369224195, 4767074983, 5637335441

Offset

1,1

Links

Table of n, a(n) for n=1..30.

Example

a(1)=28=2+3+5+7+11, since s(1)=5=2+3, since p(1)=2.

Maple

for j from 1 to 23 do s[j]:=sum(ithprime(i), i=1..ithprime(j)); od; for j from 1 to 23 do sum(ithprime(i), i=1..s[j]); od;

Mathematica

With[{prs=Prime[Range[50000]]}, Table[Total[Take[prs, Total[Take[prs, prs[[n]]]]]], {n, 30}]] Harvey P. Dale, May 16 2012

Crossrefs

Cf. A119411, A022094.

Sequence in context: A044741 A318778 A184679 * A192796 A124956 A014705

Adjacent sequences: A123373 A123374 A123375 * A123377 A123378 A123379

Keyword

easy,nonn

Author

Peter C. Heinig (algorithms(AT)gmx.de), Oct 13 2006

Extensions

More terms from Robert Israel, Jul 30 2020

Status

approved