Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The number of multinomial coefficients based on a set of partitions of n
  into k parts and divided by k evenly   In this paper we obtained an original integer sequence based on the
properties of the multinomial coefficient. We investigated a property of the
sequence that shows connection with a primality testing. For any prime n the
n-th term in the sequence is less by 1 than the number of partitions of n. We
hypothesize the existence of an asymptotic algorithm of primality testing.

20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph