A236215 Sum of the ninth powers of the first n primes.

512, 20195, 1973320, 42326927, 2400274618, 13004773991, 131592650488, 454280348267, 2255433009730, 16762578985599, 43202201146270, 173163940941347, 500545875335308, 1003138487272151, 2122268960374918, 5422032552177051, 14085028370831990, 25779174463666131

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 A179665.

Programs

Mathematica

Table[Sum[Prime[k]^9, {k, n}], {n, 1000}]
Accumulate[Prime[Range[20]]^9] (* Harvey P. Dale, Jul 01 2015 *)

Formula

a(n) = Sum_{k=1..n} prime(k)^9.