English

Some new results on consecutive equidivisible integers

Number Theory 2015-10-27 v1

Abstract

We have found maximum possible runs of consecutive positive integers each having exactly kk divisors for some fixed values of kk. In addition, we exhibit the run of 10 consecutive positive integers each having exactly 12 divisors and two runs of 14 consecutive positive integers each having exactly 24 divisors.

Keywords

Cite

@article{arxiv.1510.07081,
  title  = {Some new results on consecutive equidivisible integers},
  author = {Vladimir A. Letsko},
  journal= {arXiv preprint arXiv:1510.07081},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T11:27:54.998Z