login
A236182
Sum of the sixth powers of the first n primes.
2
64, 793, 16418, 134067, 1905628, 6732437, 30870006, 77915887, 225951776, 820775097, 1708278778, 4274005187, 9024109428, 15345472477, 26124687806, 48289048935, 90469582576, 141989956937, 232448339106, 360548623027, 511882849316, 754970304837, 1081910678206
OFFSET
1,1
FORMULA
a(n) = Sum_{k = 1..n} prime(k)^6.
MATHEMATICA
Table[Sum[Prime[k]^6, {k, n}], {n, 100}]
Accumulate[Prime[Range[30]]^6] (* Harvey P. Dale, Oct 29 2023 *)
PROG
(PARI) a(n) = sum(k=1, n, prime(k)^6); \\ Michel Marcus, Mar 01 2022
CROSSREFS
Cf. A030516 (6th powers of primes).
Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n).
Sequence in context: A264260 A190532 A181889 * A164280 A232001 A185299
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 19 2014
STATUS
approved