A133533 Sum of sixth powers of three consecutive primes.

16418, 134003, 1904835, 6716019, 30735939, 76010259, 219219339, 789905091, 1630362891, 4048053411, 8203334331, 13637193699, 21850682619, 39264939507, 75124110099, 115865269131, 184159290171, 270079040451, 369892892379

Offset: 1

Author

Artur Jasinski, Sep 14 2007

Keywords

• nonn

Examples

			a(1)=16418 because 2^6+3^6+5^6=16418.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133532.

Programs

Maple

L:= [seq(ithprime(i)^6,i=1..100)]:
L[1..-3]+L[2..-2]+L[3..-1]; # Robert Israel, Jun 28 2018

Mathematica

a = 6; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a, {n, 1, 100}]
Total/@(Partition[Prime[Range[25]],3,1]^6)  (* Harvey P. Dale, Mar 29 2011 *)

Formula

a(n) = A133537(n) + A030516(n+2). - Michel Marcus, Nov 09 2013