Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The concrete theory of numbers: initial numbers and wonderful properties
  of numbers repunit   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.

28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat