A236223 Sum of the fifteenth powers of the first n primes.

32768, 14381675, 30531959800, 4778093469743, 4182026262885394, 55367919276976151, 2917790970786791944, 18098918000661590243, 284734153465052835850, 8913922901063237276799, 32379184892907923206750, 365825452844723230295243, 1920923767836261141183844

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.

Programs

Mathematica

Table[Sum[Prime[k]^15, {k, n}], {n, 1000}]
Accumulate[Prime[Range[15]]^15] (* Harvey P. Dale, Mar 09 2022 *)

Formula

a(n) = sum(k = 1 .. n, prime(k)^15).