A133539 Sum of third powers of five consecutive primes.

1834, 4023, 8909, 15643, 27467, 50525, 78119, 123859, 185921, 253261, 332695, 451781, 606507, 764567, 985823, 1239911, 1480051, 1767711, 2112517, 2516723, 3071485, 3712769, 4312457, 4965713, 5555773, 6085997, 7104079, 8259443

Offset

1,1

Links

Table of n, a(n) for n=1..28.

Formula

a(n) = A133525(n) + A030078(n+4). - Michel Marcus, Nov 09 2013

Example

a(1)=1834 because 2^3+3^3+5^3+7^3+11^3=1834.

Mathematica

a = 3; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a + Prime[n + 4]^a, {n, 1, 100}]
Total[#^3]&/@Partition[Prime[Range[40]], 5, 1] (* Harvey P. Dale, May 01 2013 *)

Crossrefs

Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133532, A069484, A133534, A133535, A133536, A133537, A034964, A133538, A133540, A133541, A133542, A133543.

Sequence in context: A320720 A186899 A185484 * A234492 A100970 A159202

Adjacent sequences: A133536 A133537 A133538 * A133540 A133541 A133542

Keyword

nonn

Author

Artur Jasinski, Sep 14 2007

Status

approved