A236218 Sum of the twelfth powers of the first n primes.

4096, 535537, 244676162, 14085963363, 3152514340084, 26450599462565, 609072836692326, 2822387755758487, 24737012187778808, 378551795393247849, 1166214579181797610, 7749166585021832891, 30312656885388018972, 70272287682650595373, 186463770791599173614

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 A030631.

Programs

Mathematica

Table[Sum[Prime[k]^12, {k, n}], {n, 1000}]
Accumulate[Prime[Range[20]]^12] (* Harvey P. Dale, Jan 31 2014 *)

PARI

s=[]; for(n=1, 15, s=concat(s, sum(i=1, n, prime(i)^12))); s \\ Colin Barker, Jan 20 2014

Formula

a(n) = sum(k = 1 .. n, prime(k)^12).