Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note On Prime Gaps And Very Short Intervals   Assuming the Riemann hypothesis, this article discusses a new elementary
argument that seems to prove that the maximal prime gap of a finite sequence of
primes p_1, p_2, ..., p_n <= x, satisfies max {p_(n+1) - p_n : p_n <= x} <=
c1((logx)^2)/loglogx, c1 > 0 constant. Equivalently, it shows that the very
short intervals (x, x + y] contain prime numbers for all y >
c2((logx)^2)/loglogx, c2 > 0 constant, and sufficiently large x > 0.

13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ