Back to Search Start Over

On a conjecture regarding primality of numbers constructed from prepending and appending identical digits

Authors :
Wu, Chai Wah
Publication Year :
2015

Abstract

Consider the operation of adding the same number of identical digits to the left and to the right of a number n. In OEIS sequence A090287, it was conjectured that this operation will not produce a prime if and only if n is a palindrome with an even number of digits. We show that this conjecture is false by showing that this property also holds for n=231, n=420, and an infinite number of other values of n.<br />Comment: Minor changes and added section on other bases

Subjects

Subjects :
Mathematics - Number Theory
11A51

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1503.08883
Document Type :
Working Paper