A133533 Sum of sixth powers of three consecutive primes.

16418, 134003, 1904835, 6716019, 30735939, 76010259, 219219339, 789905091, 1630362891, 4048053411, 8203334331, 13637193699, 21850682619, 39264939507, 75124110099, 115865269131, 184159290171, 270079040451, 369892892379

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