A236221 Sum of the thirteenth powers of the first n primes.

8192, 1602515, 1222305640, 98111316047, 34620823459978, 337495930052231, 10242073962958168, 52295057425215227, 556331419361682610, 10816960132320284799, 35234506429765327390, 278803730645846632787, 1203906832960860262108, 2922170957243151047351

Offset

1,1

Links

Robert Price, Table of n, a(n) for n = 1..1000

OEIS Wiki, Sums of powers of primes divisibility sequences

Vladimir Shevelev, Asymptotics of sum of the first n primes with a remainder term

Formula

a(n) = Sum_{k=1..n} prime(k)^13.

Mathematica

Table[Sum[Prime[k]^13, {k, n}], {n, 100}]

Crossrefs

Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.

Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.

Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.

Partial sums of A138031.

Sequence in context: A017690 A010801 A138031 * A300567 A323544 A230190

Adjacent sequences: A236218 A236219 A236220 * A236222 A236223 A236224

Keyword

nonn,easy

Author

Robert Price, Jan 20 2014

Status

approved