A236221 Sum of the thirteenth powers of the first n primes.

8192, 1602515, 1222305640, 98111316047, 34620823459978, 337495930052231, 10242073962958168, 52295057425215227, 556331419361682610, 10816960132320284799, 35234506429765327390, 278803730645846632787, 1203906832960860262108, 2922170957243151047351

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 A138031.

Programs

Mathematica

Table[Sum[Prime[k]^13, {k, n}], {n, 100}]

Formula

a(n) = Sum_{k=1..n} prime(k)^13.