Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins

2009/09/29 by Edray Herber Goins, Goins, Edray Herber
Chemistry · #11B99 #11Y55 #FOS: Mathematics #History and advancements in chemistry #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0909.5452

openalex publication_date 2009/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that there exist exactly 203 positive integers N such that for some integer d ≥ 2 this number is a d-digit palindrome base 10 as well as a d-digit palindrome for some base b different from 10. To be more precise, such N range from 22 to 9986831781362631871386899.

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