Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacobsthal's function and a short proof of the density of a set in the
  unit hypercube   We use an upper bound on Jacobsthal's function to complete a proof of a known
density result. Apart from the bound on Jacobsthal's function used here, the
proof we are completing uses only elementary methods and Dirichlet's theorem on
the infinitude of primes in arithmetic progressions.

34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con