Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of primes between two consecutive squares   Legendre's Conjecture is one of the most elegant open problems in Number
Theory, which states that there is a prime between consecutive two perfect
squares. In this note, we prove the conjecture holds true and also discuss the
related results.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics