Repeatedly Appending Any Digit to Generate Composite Numbers
Number Theory
2019-03-13 v1
Abstract
We investigate the problem of finding integers such that appending any number of copies of the base-ten digit to yields a composite number. In particular, we prove that there exist infinitely many integers coprime to all digits such that repeatedly appending {\it any} digit yields a composite number.
Cite
@article{arxiv.1903.05023,
title = {Repeatedly Appending Any Digit to Generate Composite Numbers},
author = {Jon Grantham and Witold Jarnicki and John Rickert and Stan Wagon},
journal= {arXiv preprint arXiv:1903.05023},
year = {2019}
}