A236209 Sum of the seventh powers of the first n primes.

128, 2315, 80440, 903983, 20391154, 83139671, 493478344, 1387350083, 4792175530, 22042051839, 49554665950, 144486543083, 339240816964, 611059428071, 1117682548534, 2292393688371, 4781045173190, 7923788009211, 13984499614534, 23079619772925, 34127018292022

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
• V. 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 A092759.

Programs

Mathematica

Table[Sum[Prime[k]^7, {k, n}], {n, 1000}]

Formula

a(n) = Sum_{k=1..n} prime(k)^7.