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On a conjecture regarding primality of numbers constructed from prepending and appending identical digits
- 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 :
- Mathematics - Number Theory
11A51
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1503.08883
- Document Type :
- Working Paper