Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primes in Sumsets   We obtain an upper bound for the number of pairs $ (a,b) \in {A\times B} $
such that $ a+b $ is a prime number, where $ A, B \subseteq \{1,...,N \}$ with
$|A||B| \, \gg \frac{N^2}{(\log {N})^2}$, $\, N \geq 1$ an integer. This
improves on a bound given by Balog, Rivat and S\'ark\"ozy.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom