Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pythagorean Triples, B\'{e}zout Coefficients and the Erd\H{o}s-Straus
  Conjeceture   This paper is a preliminary expository paper that outlines the relationship
between solutions to the Erd\H{o}s-Straus conjecture for a given prime $p$ and
their corresponding Pythagorean triples. This paper also uses B\'{e}zout
Coefficients to find a relationship between the solutions to the conjecture and
roots of a second degree polynomial.

11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph