The concrete theory of numbers: initial numbers and wonderful properties of numbers repunit
Abstract
Description
In this work initial numbers and repunit numbers have been studied. All numbers have been considered in a decimal notation. The problem of simplicity of initial numbers has been studied. Interesting properties of numbers repunit are proved:
$gcd(R_a, R_b) = R_{gcd(a,b)}$;
$R_{ab}/(R_aR_b)$ is an integer only if $gcd(a,b) = 1$, where $a\geq1$, $b\geq1$ are integers. Dividers of numbers repunit, are researched by a degree of prime number.
8 pages ; v3: minor grammatical changes, etc
8 pages ; v3: minor grammatical changes, etc