English

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

Number Theory 2009-10-01 v1

Abstract

We show that there exist exactly 203 positive integers NN such that for some integer d2d \geq 2 this number is a dd-digit palindrome base 10 as well as a dd-digit palindrome for some base bb different from 10. To be more precise, such NN range from 22 to 9986831781362631871386899.

Keywords

Cite

@article{arxiv.0909.5452,
  title  = {Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins},
  author = {Edray Herber Goins},
  journal= {arXiv preprint arXiv:0909.5452},
  year   = {2009}
}