Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Very small intervals containing at least three primes   Let $p_n$ is the $n$-th prime. With help of the Cram\'er-like model, we prove
that the set of intervals of the form $(2p_n,\enskip2p_{n+1})$ containing at
list 3 primes has a positive density with respect to the set of all intervals
of such form.

10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs