A236226 Sum of the eighteenth powers of the first n primes.

262144, 387682633, 3815084948258, 1632228682858707, 5561549542175090188, 118016956494132483317, 14181101408561857474326, 118308451706473099007167, 3362459361601721384307536, 213819743726773841714612697, 912873363725818880253782938

Offset

1,1

Links

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

OEIS Wiki, Sums of powers of primes divisibility sequences

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

Formula

a(n) = sum(k = 1 .. n, prime(k)^18).

Mathematica

Table[Sum[Prime[k]^18, {k, n}], {n, 1000}]
Accumulate[Prime[Range[20]]^18] (* Harvey P. Dale, Jul 08 2024 *)

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 A030637.

Sequence in context: A017700 A010806 A030637 * A183818 A016965 A017037

Adjacent sequences: A236223 A236224 A236225 * A236227 A236228 A236229

Keyword

nonn,easy

Author

Robert Price, Jan 20 2014

Status

approved