A133541 Sum of fifth powers of five consecutive primes.

181258, 552519, 1972133, 4445107, 10864643, 31214741, 59472599, 127396699, 240776801, 381348901, 590182759, 979749101, 1625329443, 2354069543, 3557186207, 5132070551, 6786946651, 9149078751, 12243523093, 16477457435

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Formula

a(n) = A133527(n) + A050997(n+4). - Michel Marcus, Nov 09 2013

Example

a(1)=181258 because 2^5+3^5+5^5+7^5+11^5=181258.

Mathematica

a = 5; 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, 5, 1] (* Harvey P. Dale, Dec 02 2017 *)

Crossrefs

Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133532, A069484, A133534, A133535, A133536, A133537, A034964, A133538, A133539, A133540, A133542, A133543.

Sequence in context: A235716 A274365 A209828 * A145536 A375118 A249959

Adjacent sequences: A133538 A133539 A133540 * A133542 A133543 A133544

Keyword

nonn

Author

Artur Jasinski, Sep 14 2007

Status

approved