Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integers Represented as a Sum of Primes and Powers of Two   It is shown that every sufficiently large even integer is a sum of two primes
and exactly 13 powers of 2. Under the Generalized Rieman Hypothesis one can
replace 13 by 7. Unlike previous work on this problem, the proof avoids
numerical calculations with explicit zero-free regions of Dirichlet
L-functions. The argument uses a new technique to bound the measure of the set
on which the exponential sum formed from powers of 2 is large.

8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs