waring'sproblem

Waring's Problem

n = a1**k + a2**k + a3**k + … + ag(k)**k

possible for all n =>

g(k) = (3/2)**k + 2**k - 2

Proof:

From Euler's Powers Theorem,

g(k) = (3**k - 2**k)/2**k + (2**k - 1**k)/1**k