Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new algorithm to search for small nonzero |x^3 - y^2| values   In relation to Hall's conjecture, a new algorithm is presented to search for
small k = |x^3 -y^2| values. Thirteen new values of k < x^(1/2) are reported.

12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph