Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A diophantine system   In this paper we find a parametric solution to the hitherto unsolved problem
of finding three positive integers such that their sum, the sum of their
squares and the sum of their cubes are simultaneously perfect squares.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess