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

Author

Artur Jasinski, Sep 14 2007

Keywords

• nonn

Examples

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

Crossrefs

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

Programs

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 *)

Formula

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