Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Additive Representations of Natural Numbers   Every natural number greater than two may be written as the sum of a prime
and a square-free number. We establish several generalisations of this, by
placing divisibility conditions on the square-free number.

33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an