[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
login
A236218
Sum of the twelfth powers of the first n primes.
1
4096, 535537, 244676162, 14085963363, 3152514340084, 26450599462565, 609072836692326, 2822387755758487, 24737012187778808, 378551795393247849, 1166214579181797610, 7749166585021832891, 30312656885388018972, 70272287682650595373, 186463770791599173614
OFFSET
1,1
FORMULA
a(n) = sum(k = 1 .. n, prime(k)^12).
MATHEMATICA
Table[Sum[Prime[k]^12, {k, n}], {n, 1000}]
Accumulate[Prime[Range[20]]^12] (* Harvey P. Dale, Jan 31 2014 *)
PROG
(PARI) s=[]; for(n=1, 15, s=concat(s, sum(i=1, n, prime(i)^12))); s \\ Colin Barker, Jan 20 2014
CROSSREFS
Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.
Partial sums of A030631.
Sequence in context: A008456 A030631 A321820 * A016962 A224395 A224028
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 20 2014
STATUS
approved