A236224 Sum of the sixteenth powers of the first n primes.

65536, 43112257, 152631002882, 33385561572483, 45983115425144644, 711399724608324485, 49372591600275192966, 337814005167896360647, 6470424420848895009608, 256716898101196243797129, 984140019848381507625610, 13321651934065547869899851

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 A030635.

Programs

Mathematica

Table[Sum[Prime[k]^16, {k, n}], {n, 1000}]

Formula

a(n) = sum(k = 1 .. n, prime(k)^16).