A113633 -id:A113633 - cp's OEIS frontend

A113634 Sum of the first 6^n primes.

2, 41, 2427, 132059, 6426919, 291627051, 12646104721, 531741567755, 21868328382007, 884528298065271, 35319715358896709, 1395934334687210019, 54710988941767714851, 2129404515458094306737, 82391816104703313499231, 3171892875586735205701385, 121577571158289668158700601

Offset: 0

Cino Hilliard, Jan 15 2006

nonn

			The first 6^1 primes add up to 41.

Amiram Eldar, Table of n, a(n) for n = 0..22 (calculated using Kim Walisch's primesum program)
Kim Walisch, Sum of the primes below x (primesum).

Cf. A000400, A007504, A058192, A099825, A099826, A113633, A113635.

t = {}; c = 1; k = 3; s = 2; Do[While[c < 6^n, If[PrimeQ@k, c++; s += k]; k += 2]; Print@s; AppendTo[t, s], {n, 0, 9}]; t (* Robert G. Wilson v, Jan 17 2006 *)

a(n) = A007504(6^n).

a(13)-a(16) from Amiram Eldar, Jul 01 2024

A113635 Sum of the first 7^n primes.

Original entry on oeis.org

2, 58, 4888, 363288, 24047406, 1482656786, 87401659166, 4997438572618, 279544493456056, 15382405126365576, 835737977869494888, 44947274043643171988, 2397349106561086277820, 126986150948361831547964, 6687136917574958175921116, 350384258762032443770716600

Offset: 0

Cino Hilliard, Jan 15 2006

nonn

			The first 7^1 primes add up to 58.

Amiram Eldar, Table of n, a(n) for n = 0..20 (calculated using Kim Walisch's primesum program)
Kim Walisch, Sum of the primes below x (primesum).

Cf. A000420, A007504, A058239, A099825, A099826, A113633, A113634.

t = {}; c = 1; k = 3; s = 2; Do[While[c < 7^n, If[ PrimeQ@k, c++; s += k]; k += 2]; Print@s; AppendTo[t, s], {n, 0, 9}]; t (* Robert G. Wilson v, Jan 17 2006 *)
Table[Total[Prime[Range[7^n]]],{n,0,7}] (* The program generates the first 8 terms of the sequence. *) (* Harvey P. Dale, Jan 18 2024 *)

a(n) = A007504(A000420(n)). - Michel Marcus, Aug 01 2015

a(12) onwards from Amiram Eldar, Jul 01 2024

cp's OEIS Frontend

A113634 Sum of the first 6^n primes.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica

Formula

Extensions