Every positive integer is a sum of three palindromes

TL;DR

This paper proves that for any base g ≥ 5, every positive integer can be expressed as the sum of three palindromes, extending the understanding of number representations in various bases.

Contribution

It establishes a universal representation of positive integers as sums of three palindromes for all bases g ≥ 5, a significant generalization in number theory.

Findings

Any positive integer in base g ≥ 5 can be written as a sum of three palindromes.

The result holds universally for all positive integers in the specified bases.

This extends previous work limited to specific bases or numbers.

Abstract

For integer $g\ge 5$, we prove that any positive integer can be written as a sum of three palindromes in base $g$.