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A083186 Sum of first n primes whose indices are primes. 5
3, 8, 19, 36, 67, 108, 167, 234, 317, 426, 553, 710, 889, 1080, 1291, 1532, 1809, 2092, 2423, 2776, 3143, 3544, 3975, 4436, 4945, 5492, 6055, 6642, 7241, 7858, 8567, 9306, 10079, 10876, 11735, 12612, 13531, 14498, 15489, 16520, 17583, 18670, 19823 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Partial sums of A006450.

LINKS

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

FORMULA

Sum_{k=1..n} prime(prime(k)).

a(n) ~ (n log n)^2 / 2. - Charles R Greathouse IV, Oct 20 2015

MATHEMATICA

Accumulate[Prime[Prime[Range[50]]]] (* Harvey P. Dale, Jun 24 2012 *)

PROG

(PARI) pipsum(n)=s=0; sr=0; for(x=1, n, y=prime(prime(x)); s+=y; print1(s" "); sr+=1.0/y; ); print(); print(sr)

(PARI) a(n)=my(i, j, s); forprime(p=2, , if(isprime(i++), s+=p; if(j++==n, return(s)))) \\ Charles R Greathouse IV, Oct 20 2015

(PARI) first(n)=my(v=vector(n), i, j, s); forprime(p=2, , if(isprime(i++), s+=p; v[j++]=s; if(j==n, return(v)))) \\ Charles R Greathouse IV, Oct 20 2015

CROSSREFS

Cf. A006450, A109790.

Sequence in context: A147358 A209367 A086167 * A055341 A007326 A067332

Adjacent sequences:  A083183 A083184 A083185 * A083187 A083188 A083189

KEYWORD

nonn

AUTHOR

Cino Hilliard, Jun 01 2003

STATUS

approved

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Last modified March 29 15:07 EDT 2017. Contains 284273 sequences.