On a conjecture of John Hoffman regarding sums of palindromic numbers

2015/10/26 by Markus Sigg, Sigg, Markus
Mathematics · #11B13 #Advanced Mathematical Identities #Advanced Mathematical Theories #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1510.07507

openalex publication_date 2015/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We disprove the conjecture that every sufficiently large natural number n is the sum of three palindromic natural numbers where one of them can be chosen to be the largest or second largest palindromic natural number smaller than or equal to n.

Citations

• Every natural number is the sum of forty-nine palindromes

Related

• Intrinsic palindromic numbers
• Sums of Palindromes: an Approach via Automata
• Every natural number is the sum of forty-nine palindromes
• About Some Relatives of Palindromes
• Every positive integer is a sum of three palindromes