Infinitude of palindromic almost-prime numbers
Number Theory
2024-07-24 v3
Abstract
It is proven that, in any given base, there are infinitely many palindromic numbers having at most six prime divisors, each relatively large. The work involves equidistribution estimates for the palindromes in residue classes to large moduli, offering upper bounds for moments and averages of certain products closely related to exponential sums over palindromes
Keywords
Cite
@article{arxiv.2307.16637,
title = {Infinitude of palindromic almost-prime numbers},
author = {Aleksandr Tuxanidy and Daniel Panario},
journal= {arXiv preprint arXiv:2307.16637},
year = {2024}
}