English

Difference of powers of consecutive primes which are perfect squares

Number Theory 2016-04-20 v1

Abstract

We investigate the consecutive primes pp and qq (p>qp > q) for which there exists a pair of natural numbers (x,y)(x,y) such that pxqyp^x-q^y is a perfect square and make some conjectures.

Keywords

Cite

@article{arxiv.1604.05334,
  title  = {Difference of powers of consecutive primes which are perfect squares},
  author = {Alessandro Ventullo},
  journal= {arXiv preprint arXiv:1604.05334},
  year   = {2016}
}