A236222 Sum of the fourteenth powers of the first n primes.

16384, 4799353, 6108314978, 684331387827, 380434164971068, 4317810550670357, 172695637110071286, 971702322892955407, 12564538647431705216, 310122771323231168697, 1067066706544027489018, 10079128002539035788707, 48008355197454594590868

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]^14, {k, n}], {n, 1000}]
Accumulate[Prime[Range[20]]^14] (* Harvey P. Dale, Nov 26 2014 *)

Formula

a(n) = sum(k = 1 .. n, prime(k)^14).