A145065 a(n) = sum of primes <= n*10^9.

24739512092254535, 95673602693282040, 211169315361937456, 370412807102643725, 572840944428163514, 818062002011808625, 1105720106635140803, 1435543734762318281, 1807310307011831228, 2220822432581729238, 2675837181777714162, 3172247016440147644

Offset

1,1

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..25 .

Formula

a(n) = A179660(10*n). - R. J. Mathar, Aug 05 2010

Example

a(1) = 2 + 3 + 5 + ... + 999999937 = 24739512092254535.

Mathematica

k = 1; p = 2; s = 0; lst = {}; While[k < 10, While[p < 10^9*k, s = s + p; p = NextPrime@p]; k++; AppendTo[lst, s]; Print[{k - 1, s}]] (* Robert G. Wilson v, Jul 23 2010 *)

Prog

(PARI) A145065(n)=my(s=0); forprime(p=2, n*1e9, s+=p); s

Crossrefs

Cf. A046731, A178221, A179649, A179660.

Sequence in context: A336967 A338959 A338955 * A080127 A003941 A003934

Adjacent sequences: A145062 A145063 A145064 * A145066 A145067 A145068

Keyword

nonn

Author

Jacques Tramu, Feb 20 2009

Extensions

Extended by Charles R Greathouse IV, Jul 24 2009

Edited by N. J. A. Sloane, Jul 27 2010

Status

approved