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A099824
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a(n) = Sum of the first 10^n primes.
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9
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2, 129, 24133, 3682913, 496165411, 62260698721, 7472966967499, 870530414842019, 99262851056183695, 11138479445180240497, 1234379338586942892505, 135436174616790289414111, 14738971133550183905879827, 1593061976858155930556059673
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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David Baugh, Table of n, a(n) for n = 0..23 [terms a(0)-a(17) from Marc Deleglise; terms a(18)-a(21) from Kim Walisch]
Cino Hilliard, SumPrimes, June 2008.
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FORMULA
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a(n) = Sum_{i=1..10^n} A000040(i). - José de Jesús Camacho Medina, Dec 27 2014 (corrected by Joerg Arndt, Jan 05 2015)
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EXAMPLE
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For n=1, the sum of the first 10^1 = 10 primes is 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 = 129, so a(1) = 129. - Michael B. Porter, Aug 08 2016
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MATHEMATICA
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NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; k = p = 1; s = 0; Do[ While[p = NextPrim[p]; s = s + p; k < 10^n, k++ ]; k++; Print[s], {n, 0, 8}]
Table[Sum[Prime[i], {i, 10^n}], {n, 0, 5}] (* José de Jesús Camacho Medina, Dec 27 2014 *)
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PROG
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(PARI) vecA099824(n)={ my(s, c, k=1, L:list); L=List();
forprime(m=2, prime(10^n), s+=m; c++; if(c==k, listput(L, s); k*=10));
return(vector(#L, i, L[i]))} \\ R. J. Cano, Aug 12 2016
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CROSSREFS
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Cf. A000040, A006988, A007504, A099825, A099826.
Sequence in context: A258806 A216358 A294274 * A300292 A259109 A190578
Adjacent sequences: A099821 A099822 A099823 * A099825 A099826 A099827
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v, Oct 25 2004
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EXTENSIONS
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a(9) from Hans Havermann, May 06 2005
a(10) from Cino Hilliard, Apr 28 2006
a(11) from Cino Hilliard, Oct 03 2006
a(12)-a(13) from Hiroaki Yamanouchi, Jul 06 2014
a(11) corrected by Marc Deleglise, Apr 03 2016
a(14)-a(17) from Marc Deleglise, Apr 03 2016
a(18)-a(20) from Kim Walisch, Jun 05 2016
a(21) from Kim Walisch, Jun 11 2016
a(22) from David Baugh using Kim Walisch's primesum program, Jun 21 2016
a(23) from David Baugh using Kim Walisch's primesum program, Sep 26 2016
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STATUS
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approved
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