The concrete theory of numbers: initial numbers and wonderful properties of numbers repunit

Details The concrete theory of numbers: initial numbers and wonderful properties of numbers repunit The concrete theory of numbers: initial numbers and wonderful properties of numbers repunit

2007-04-06

arxiv.org/abs/0704.0875v2

Mathematics

General Mathematics

8 pages ; v3: minor grammatical changes, etc

Scientific paper

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.

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