Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existential refinement on the search of integer solutions for the
  diophantine equation $x^3+y^3+z^3=n$   We propose a new algorithm, call Sam to determinate the existence of the
solutions for the equation $x^3+y^3+z^3=n$ for a fixed value $n > 0$ unknow

16
The categories of this paper are: stat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys