Fundamental units and consecutive squarefull numbers

Aktas K., Murty M. R.

INTERNATIONAL JOURNAL OF NUMBER THEORY, vol.13, no.1, pp.243-252, 2017 (SCI-Expanded) identifier identifier


We connect several seemingly unrelated conjectures of Ankeny, Artin, Chowla and Mordell to a conjecture of Erdos on consecutive squarefull numbers. We then study the Erdos conjecture and relate it to the abc conjecture. We also derive by elementary methods several unconditional results pertaining to the Erdos conjecture.