A236214 Sum of the eighth powers of the first n primes.

256, 6817, 397442, 6162243, 220521124, 1036251845, 8012009286, 24995572327, 103306557608, 603552970569, 1456444008010, 4968923461931, 12953848691052, 24642048968653, 48453335630414, 110713026041775, 257543463646096, 449250776643377, 855318454200018

Offset: 1

Author

Robert Price, Jan 20 2014

Keywords

• nonn
• easy

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

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 A179645.

Programs

Mathematica

Table[Sum[Prime[k]^8, {k, n}], {n, 1000}]
Accumulate[Prime[Range[20]]^8] (* Harvey P. Dale, Feb 25 2016 *)

Formula

a(n) = Sum_{k=1..n} prime(k)^8.