|
| |
|
|
A133533
|
|
Sum of sixth powers of three consecutive primes.
|
|
7
|
|
|
|
16418, 134003, 1904835, 6716019, 30735939, 76010259, 219219339, 789905091, 1630362891, 4048053411, 8203334331, 13637193699, 21850682619, 39264939507, 75124110099, 115865269131, 184159290171, 270079040451, 369892892379
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
Robert Israel, Table of n, a(n) for n = 1..10000
|
|
|
FORMULA
|
a(n) = A133537(n) + A030516(n+2). - Michel Marcus, Nov 09 2013
|
|
|
EXAMPLE
|
a(1)=16418 because 2^6+3^6+5^6=16418.
|
|
|
MAPLE
|
L:= [seq(ithprime(i)^6, i=1..100)]:
L[1..-3]+L[2..-2]+L[3..-1]; # Robert Israel, Jun 28 2018
|
|
|
MATHEMATICA
|
a = 6; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a, {n, 1, 100}]
Total/@(Partition[Prime[Range[25]], 3, 1]^6) (* Harvey P. Dale, Mar 29 2011 *)
|
|
|
CROSSREFS
|
Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133532.
Sequence in context: A045037 A168633 A122714 * A250844 A076166 A168665
Adjacent sequences: A133530 A133531 A133532 * A133534 A133535 A133536
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Artur Jasinski, Sep 14 2007
|
|
|
STATUS
|
approved
|
| |
|
|
