A133532 Sum of fifth powers of three consecutive primes.

3400, 20175, 180983, 549151, 1952201, 4267249, 10332299, 29423591, 55576643, 118484257, 213829309, 332208601, 492209651, 794548943, 1362464799, 1977716093, 2909645707, 3998950759, 5227426051, 6954357343, 9089168635

Offset

1,1

Links

Table of n, a(n) for n=1..21.

Formula

a(n) = A133536(n) + A050997(n+2). - Michel Marcus, Nov 09 2013

Example

a(1)=3400 because 2^5+3^5+5^5=3400.

Mathematica

a = 5; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a, {n, 1, 100}]
Total[#^5]&/@Partition[Prime[Range[30]], 3, 1] (* Harvey P. Dale, May 26 2011 *)

Crossrefs

Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133533.

Sequence in context: A221009 A226667 A206507 * A224744 A151772 A109482

Adjacent sequences: A133529 A133530 A133531 * A133533 A133534 A133535

Keyword

nonn

Author

Artur Jasinski, Sep 14 2007

Status

approved