A236216 Sum of the tenth powers of the first n primes.

1024, 60073, 9825698, 292300947, 26229725548, 164088217397, 2180082117846, 8311148375647, 49737659589296, 470444892889497, 1290073179870298, 6098657552288147, 19521316862440548, 41132799175724797, 93731931411554846, 268619401777067895, 779736155077709296

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.

Partial sums of A030629.

Programs

Mathematica

Table[Sum[Prime[k]^10, {k, n}], {n, 1000}]

Formula

a(n) = Sum_{k=1..n} prime(k)^10.