

A113633


Sum of the first 5^n primes.


0



2, 28, 1060, 39612, 1336090, 42157238, 1271530648, 37178373556, 1062895088910, 29878892909030, 828999068943506, 22762324818835316, 619715756464336328, 16753554900339748756, 450233110894196298638
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OFFSET

0,1


COMMENTS

Using the program at the link, computation of the next term, a(15), would require generating a list of the first 31 * 10^9 8byte primes (file size: 250 GB). Given runtimes of 0.06, 0.13, 0.63, 7.5, 64.6, 375.38, and 2092.56 seconds on a 2.53 GHz P4 processor for a(8) through a(14), respectively, the program in the link will sum the first 5^15 primes in 3.5 hours. [Comment reworded by Jon E. Schoenfield, Aug 01 2015]


LINKS

Table of n, a(n) for n=0..14.
C. Hilliard, SumPrimes. [broken link]


FORMULA

a(n) = A007504(A000351(n)).  Michel Marcus, Aug 01 2015


EXAMPLE

The first 5^1 primes add up to 28.


MATHEMATICA

t = {}; c = 1; k = 3; s = 2; Do[ While[c < 5^n, If[PrimeQ[k], c++; s += k]; k += 2]; Print@s; AppendTo[t, s], {n, 0, 10}]; t (* Robert G. Wilson v, Jan 17 2006 *)


CROSSREFS

Sequence in context: A026944 A296464 A292806 * A186491 A300459 A009674
Adjacent sequences: A113630 A113631 A113632 * A113634 A113635 A113636


KEYWORD

hard,nonn


AUTHOR

Cino Hilliard, Jan 15 2006


STATUS

approved



