MathDB

Problem about there exits

Source:

August 11, 2012

algorithmnumber theory unsolvednumber theory

Problem Statement

Let

x \in \mathbb{Q}^+

. Prove that there exits

\alpha_1,\alpha_2,...,\alpha_k \in \mathbb{N}

and pairwe distinct such that

x= \sum_{i=1}^{k} \frac{1}{\alpha_i}