A236225 Sum of the seventeenth powers of the first n primes.

131072, 129271235, 763068724360, 233393582711567, 505680422082005338, 9156096341463343271, 836396358227800107448, 6316783216012602293387, 147366822776675571219490, 7404514559506748686057599, 29954631333669491864740510, 486442572159704647268887427

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 A138032.

Programs

Mathematica

Table[Sum[Prime[k]^17, {k, n}], {n, 1000}]
Accumulate[Prime[Range[20]]^17] (* Harvey P. Dale, Nov 05 2016 *)

Formula

a(n) = Sum_{k=1..n} prime(k)^17.