login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A236182 Sum of the sixth powers of the first n primes. 1
64, 793, 16418, 134067, 1905628, 6732437, 30870006, 77915887, 225951776, 820775097, 1708278778, 4274005187, 9024109428, 15345472477, 26124687806, 48289048935, 90469582576, 141989956937, 232448339106, 360548623027, 511882849316, 754970304837, 1081910678206 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

FORMULA

a(n) = sum(k = 1 .. n, prime(k)^6).

MATHEMATICA

Table[Sum[Prime[k]^6, {k, n}], {n, 100}]

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.

Sequence in context: A264260 A190532 A181889 * A164280 A232001 A185299

Adjacent sequences:  A236179 A236180 A236181 * A236183 A236184 A236185

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 19 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 22 14:32 EDT 2021. Contains 347607 sequences. (Running on oeis4.)