English

Existence of primes between two consecutive squares

General Mathematics 2019-08-27 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1908.08995,
  title  = {Existence of primes between two consecutive squares},
  author = {Sundarakannan Mahilmaran},
  journal= {arXiv preprint arXiv:1908.08995},
  year   = {2019}
}
R2 v1 2026-06-23T10:55:32.469Z