Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integers without divisors from a fixed arithmetic progression   Let a be an integer and q a prime number. In this paper, we find an
asymptotic formula for the number of positive integers n < x with the property
that no divisor d > 1 of n lies in the arithmetic progression a modulo q.

30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph