Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The problem of the least prime number in an arithmetic progression and
  its applications to Goldbach's conjecture   The problem of the least prime number in an arithmetic progression is one of
the most important topics in Number Theory. In [11], we are the first to study
the relations between this problem and Goldbach's conjecture. In this paper, we
further consider its applications to Goldbach's conjecture and refine the
result in [11]. Moreover, we also try to generalize the problem of the least
prime number in an arithmetic progression and give an analogy of Goldbach's
conjecture.

24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin