A133542 Sum of sixth powers of five consecutive primes.

1905628, 6732373, 30869213, 77899469, 225817709, 818869469, 1701546341, 4243135181, 8946193541, 15119520701, 25303912709, 46580770157, 86195577389, 132965847509, 217102866629, 334423935221, 463593800381, 664500722261

Offset

1,1

Links

Table of n, a(n) for n=1..18.

Formula

a(n) = A133528(n) + A030516(n+4). - Michel Marcus, Nov 09 2013

Example

a(1)=1905628 because 2^6+3^6+5^6+7^6+11^6=1905628.

Mathematica

a = 6; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a + Prime[n + 4]^a, {n, 1, 100}]
Total/@(Partition[Prime[Range[30]], 5, 1]^6)  (* Harvey P. Dale, Mar 13 2011 *)

Crossrefs

Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133532, A069484, A133534, A133535, A133536, A133537, A034964, A133538, A133539, A133540, A133541, A133543.

Sequence in context: A249318 A194620 A182360 * A215568 A323343 A186802

Adjacent sequences: A133539 A133540 A133541 * A133543 A133544 A133545

Keyword

nonn

Author

Artur Jasinski, Sep 14 2007

Status

approved