A236227 Sum of the nineteenth powers of the first n primes.

524288, 1162785755, 19074649113880, 11417969834487023, 61170508418249033314, 1523090798793695143991, 240595526483945019991144, 2219015182144258609115123, 76834486109734969171023610, 6180095732699726458749873279, 27850757952670122653464150750

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]^19, {k, n}], {n, 1000}]

Formula

a(n) = sum(k = 1 .. n, prime(k)^19).